Details

analyze70.0ms (1.4%)

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)

sample888.0ms (17.8%)

Results

849.0ms	8256×	body	256	valid
27.0ms	273×	body	256	invalid

preprocess24.0ms (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)))

eval0.0ms (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

8.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	15.1b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 20 to 12 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.3b	(.f64 (.f64 (*.f64 a a) b) b)
✓	9.3b	(.f64 (.f64 a a) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series6.0ms (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	b	@	0	(.f64 (.f64 a a) b)
1.0ms	a	@	inf	(.f64 (.f64 a a) b)
1.0ms	a	@	0	(.f64 (.f64 (*.f64 a a) b) b)

rewrite44.0ms (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)))))))

simplify127.0ms (2.6%)

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)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	7.4b	(.f64 (.f64 b b) (neg.f64 a))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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	b	@	inf	(.f64 (.f64 b b) (neg.f64 a))
1.0ms	a	@	inf	(.f64 (.f64 b b) (neg.f64 a))

rewrite47.0ms (1%)

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)))))))

simplify128.0ms (2.6%)

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

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	9	57

Error

0.1b

Counts

57 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	0.3b	(neg.f64 (pow.f64 (*.f64 b a) 2))
▶	5.5b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	15.1b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	6.0b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
	29.2b	(neg.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 a 4) (*.f64 b b))) b))
▶	19.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
	15.5b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
▶	19.9b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))

Compiler

Compiled 170 to 116 computations (31.8% saved)

localize7.0ms (0.1%)

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	@	inf	(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))))))))

simplify170.0ms (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

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)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	5.3b	(.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	b	@	-inf	(.f64 (.f64 a (*.f64 a b)) b)
0.0ms	a	@	inf	(.f64 (.f64 a (*.f64 a b)) b)
0.0ms	a	@	-inf	(.f64 (.f64 a (*.f64 a b)) b)
0.0ms	b	@	inf	(.f64 (.f64 a (*.f64 a b)) b)

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))))))))

simplify126.0ms (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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 b (.f64 b (neg.f64 a)))
✓	5.7b	(.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 a (.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 a (.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))))

rewrite48.0ms (1%)

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))))))))

simplify120.0ms (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)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 a 2)
✓	19.2b	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
528×	`add-log-exp_binary64`
528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	11
2	1580	11

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

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 a (sqrt.f64 b)) 2)
✓	4.8b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)

Compiler

Compiled 34 to 14 computations (58.8% saved)

series12.0ms (0.2%)

Counts

3 → 36

Calls

18 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

simplify91.0ms (1.8%)

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))

eval32.0ms (0.6%)

Compiler: Compiled 1630 to 804 computations (50.7% saved)

prune30.0ms (0.6%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	2	0	2
Picked	0	1	1
Done	2	4	6
Total	156	13	169

Error

0.0b

Counts

169 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.8b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (*.f64 a (sqrt.f64 b)))) b))
	6.0b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	5.5b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
▶	0.8b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a))))
✓	19.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	13.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	15.1b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	22.0b	(neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 b (*.f64 a a))) 2) b))
▶	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	6.0b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	19.9b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
	26.7b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (.f64 (cbrt.f64 (.f64 b a)) (*.f64 b a))))

Compiler

Compiled 291 to 164 computations (43.6% 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))

rewrite39.0ms (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))))))

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

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)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	19.4b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	146	7
2	1917	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

900×	`unswap-sqr_binary64`
706×	`fma-def_binary64`
537×	`distribute-rgt-neg-in_binary64`
536×	`distribute-lft-neg-in_binary64`
391×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	22	288
2	59	288
3	213	288
4	933	288
5	2011	288
6	2886	288
7	3854	288
8	4988	288
9	5805	288
10	6515	288

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

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

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 b (.f64 a a))) 2)
✓	4.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 b (*.f64 a a))) 2) b)
✓	9.3b	(.f64 b (.f64 a a))
✓	20.7b	(sqrt.f64 (.f64 b (.f64 a a)))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series7.0ms (0.1%)

Counts

4 → 72

Calls

24 calls:

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

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
639×	`add-log-exp_binary64`
639×	`log1p-expm1-u_binary64`
639×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	186	27
2	1906	27

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify106.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
516×	`unswap-sqr_binary64`
487×	`fma-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
351×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	564
1	41	564
2	130	564
3	496	564
4	1197	564
5	3095	564
6	5168	564
7	6193	564
8	6972	564
9	7553	564

Stop Event

1×

unsound

Counts

155 → 80

Calls

Call 1

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 b a) (pow.f64 (cbrt.f64 (*.f64 b a)) 2))
✓	0.2b	(.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 b a)) 2)
✓	10.5b	(cbrt.f64 (*.f64 b a))

Compiler

Compiled 59 to 19 computations (67.8% saved)

series24.0ms (0.5%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	b	@	-inf	(.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
2.0ms	a	@	-inf	(.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
2.0ms	b	@	0	(.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
1.0ms	a	@	0	(.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a)))
1.0ms	b	@	-inf	(cbrt.f64 (*.f64 b a))

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
698×	`add-log-exp_binary64`
698×	`log1p-expm1-u_binary64`
698×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	185	37
2	2087	37

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify173.0ms (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

91 → 69

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)))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.8b	(.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (*.f64 a (sqrt.f64 b)))) b)
✓	4.9b	(cbrt.f64 (*.f64 a (sqrt.f64 b)))
	9.3b	(.f64 b (.f64 a a))
✓	26.2b	(cbrt.f64 (.f64 b (.f64 a a)))

Compiler

Compiled 96 to 12 computations (87.5% saved)

series54.0ms (1.1%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	b	@	0	(cbrt.f64 (*.f64 a (sqrt.f64 b)))
7.0ms	b	@	-inf	(.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (*.f64 a (sqrt.f64 b)))) b)
6.0ms	b	@	inf	(cbrt.f64 (*.f64 a (sqrt.f64 b)))
2.0ms	b	@	-inf	(cbrt.f64 (*.f64 a (sqrt.f64 b)))
2.0ms	a	@	-inf	(cbrt.f64 (*.f64 a (sqrt.f64 b)))

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

997×	`pow1_binary64`
923×	`add-log-exp_binary64`
923×	`log1p-expm1-u_binary64`
923×	`expm1-log1p-u_binary64`
157×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	243	24
2	3122	24

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
453×	`unswap-sqr_binary64`
417×	`distribute-rgt-neg-in_binary64`
407×	`fma-neg_binary64`
401×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	432
1	91	432
2	261	432
3	1166	432
4	2092	432
5	3064	432
6	4002	432
7	5169	432
8	5906	432
9	6702	432

Stop Event

1×	node limit

Counts

105 → 78

Calls

Call 1

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

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

eval67.0ms (1.4%)

Compiler: Compiled 4861 to 1914 computations (60.6% saved)

prune48.0ms (1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	287	5	292
Fresh	0	3	3
Picked	1	0	1
Done	0	9	9
Total	288	17	305

Error

0.0b

Counts

305 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.0b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	5.5b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	22.0b	(neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 b (*.f64 a a))) 2) b))
▶	21.2b	(neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 b a) 2) 2) (.f64 b a))) (cbrt.f64 (*.f64 b a))))
▶	15.4b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (.f64 a a))) b))
✓	6.0b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	1.3b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b a))) 3) 2)) (cbrt.f64 (*.f64 b a))))
✓	0.8b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a))))
✓	19.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	13.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	15.1b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.8b	(neg.f64 (.f64 (.f64 (.f64 b a) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 a) (cbrt.f64 (.f64 b a))))) (cbrt.f64 (*.f64 b a))))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	19.9b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
	1.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)))
	26.7b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (.f64 (cbrt.f64 (.f64 b a)) (*.f64 b a))))

Compiler

Compiled 396 to 225 computations (43.2% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 b) (.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 b a))))
✓	0.6b	(cbrt.f64 a)
✓	0.6b	(cbrt.f64 b)
	10.5b	(cbrt.f64 (*.f64 b a))

Compiler

Compiled 85 to 11 computations (87.1% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	174	15
2	1997	15

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

48 → 48

Calls

Call 1

Inputs

Outputs

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a (.f64 a b))
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
✓	5.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
✓	26.2b	(cbrt.f64 (.f64 a (.f64 a b)))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series19.0ms (0.4%)

Counts

3 → 24

Calls

18 calls:

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

rewrite79.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	189	23
2	2008	23

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

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

98 → 76

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 b)
✓	3.9b	(.f64 (cbrt.f64 b) (.f64 a a))
✓	5.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (.f64 a a))) b)
✓	5.4b	(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (*.f64 a a)))

Compiler

Compiled 58 to 20 computations (65.5% saved)

series10.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	205	26
2	2371	26

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

simplify171.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2124×	`unswap-sqr_binary64`
761×	`sqr-pow_binary64`
310×	`*-commutative_binary64`
265×	`associate-l_binary64`
265×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	516
1	33	516
2	78	516
3	228	516
4	1039	516
5	2076	516
6	2176	516
7	2324	516
8	2503	516
9	2677	516
10	2889	516
11	3136	516
12	3421	516
13	3752	516
14	4107	516
15	4484	516
16	4893	516
17	5003	516
18	5089	516
19	5149	516
20	5191	516

Stop Event

1×	node limit

Counts

100 → 46

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

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 b a) 2) 2) (.f64 b a))) (cbrt.f64 (*.f64 b a)))
	0.3b	(pow.f64 (*.f64 b a) 2)
	10.5b	(cbrt.f64 (*.f64 b a))
✓	24.4b	(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 b a) 2) 2) (*.f64 b a)))

Compiler

Compiled 82 to 37 computations (54.9% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`pow1_binary64`
815×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	229	16
2	2649	16

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify168.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1572×	`unswap-sqr_binary64`
747×	`sqr-pow_binary64`
621×	`associate-l_binary64`
613×	`*-commutative_binary64`
460×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	304
1	28	304
2	80	304
3	369	304
4	2319	304
5	2365	304
6	2491	304
7	2674	304
8	2837	304
9	3019	304
10	3584	304
11	3814	304
12	4092	304
13	4393	304
14	4737	304
15	5107	304
16	5511	304
17	5686	304
18	5776	304
19	5842	304

Stop Event

1×	node limit

Counts

63 → 43

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

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 b a)))
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)
	10.5b	(cbrt.f64 (*.f64 b a))

Compiler

Compiled 84 to 31 computations (63.1% saved)

series81.0ms (1.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
40.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)
14.0ms	b	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)
8.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)
8.0ms	b	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)
3.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
678×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	211	23
2	2023	23

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b a)) 1/6) (pow.f64 (cbrt.f64 (*.f64 b a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 b)) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 1/3) (pow.f64 (cbrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 b a) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 b a) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 b a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a)))))))))

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

582×	`times-frac_binary64`
503×	`fma-neg_binary64`
395×	`unsub-neg_binary64`
298×	`fma-def_binary64`
273×	`exp-sum_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1360
1	188	1312
2	557	1312
3	1970	1240
4	4710	1168

Stop Event

1×	node limit

Counts

142 → 91

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))

Outputs
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 3)
(exp.f64 (*.f64 (+.f64 (log.f64 b) (log.f64 a)) 1/3))
(pow.f64 (pow.f64 (*.f64 b a) 1/18) 6)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 3)))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 3))
(*.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 3))
(.f64 (cbrt.f64 -1) (exp.f64 (.f64 (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a))) 1/3)))
(.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (.f64 b (*.f64 -1 a)) 1/18) 6))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 b) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1)))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 a)))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 b) (log.f64 a)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))) 6)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 b) (log.f64 a))) 6)
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 b) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 6)))
(.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 a))) 6)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 b)))) 6))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (exp.f64 (.f64 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)) -2/9)) 3))

eval145.0ms (2.9%)

Compiler: Compiled 9301 to 3850 computations (58.6% saved)

prune72.0ms (1.4%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	482	5	487
Fresh	1	2	3
Picked	0	1	1
Done	3	10	13
Total	486	18	504

Error

0.0b

Counts

504 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.0b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	5.5b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	13.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
	28.3b	(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) b))
	0.9b	(neg.f64 (.f64 (.f64 (.f64 b a) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 a) (cbrt.f64 (.f64 b a))))) (*.f64 (cbrt.f64 b) (cbrt.f64 a))))
✓	6.0b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	1.3b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b a))) 3) 2)) (cbrt.f64 (*.f64 b a))))
✓	0.8b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (cbrt.f64 (*.f64 b a))))
✓	19.4b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
	21.2b	(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 b a) 5)) 1) (cbrt.f64 (.f64 b a))))
	26.7b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (.f64 (cbrt.f64 (.f64 b a)) (*.f64 b a))))
	6.0b	(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2) (cbrt.f64 (.f64 a (.f64 a b)))) b))
✓	15.1b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	22.0b	(neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 b (*.f64 a a))) 2) b))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	19.9b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
	22.6b	(neg.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 6)))

Compiler

Compiled 254 to 146 computations (42.5% saved)

regimes64.0ms (1.3%)

Counts

27 → 1

Calls

Call 1

Inputs
(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
(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 (cbrt.f64 (pow.f64 (*.f64 b a) 6)))
(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 b (*.f64 a a))) 2) b))
(neg.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 a 4) (*.f64 b b))) b))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 a a) b)) 3) b))
(neg.f64 (.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) b))
(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 b a) 5)) 1) (cbrt.f64 (.f64 b a))))
(neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (.f64 a a))) 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 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2) (cbrt.f64 (.f64 a (.f64 a b)))) b))
(neg.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 b a) 2) 2) (.f64 b a))) (cbrt.f64 (*.f64 b a))))
(neg.f64 (.f64 (.f64 (.f64 b a) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 a) (cbrt.f64 (.f64 b a))))) (cbrt.f64 (*.f64 b a))))
(neg.f64 (.f64 (.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (*.f64 a (sqrt.f64 b)))) b))
(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b a))) 3) 2)) (cbrt.f64 (*.f64 b a))))
(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (.f64 b a)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 b a))) 3)))
(neg.f64 (.f64 (.f64 (.f64 b a) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 a) (cbrt.f64 (.f64 b a))))) (*.f64 (cbrt.f64 b) (cbrt.f64 a))))

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

Calls

6 calls:

14.0ms	a
12.0ms	b
9.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
8.0ms	(*.f64 a a)
7.0ms	(*.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 382 to 162 computations (57.6% saved)

regimes24.0ms (0.5%)

Accuracy

Total -19.8b remaining (-7064.3%)

Threshold costs -19.8b (-7064.3%)

Counts

6 → 1

Calls

Call 1

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

6 calls:

5.0ms	a
5.0ms	b
4.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
3.0ms	(*.f64 a a)
3.0ms	(*.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 85 to 44 computations (48.2% 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)

soundness28.0ms (0.6%)

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)

end18.0ms (0.4%)

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