Details

analyze86.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
46.2%	37.5%	43.7%	0.1%	18.7%	0%	0%	7
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	8
69.4%	53.1%	23.4%	0.1%	23.4%	0%	0%	9
76.5%	58.5%	18%	0.1%	23.4%	0%	0%	10
83.7%	62%	12.1%	0.1%	25.8%	0%	0%	11
87.6%	65%	9.2%	0.1%	25.8%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample774.0ms (15.9%)

Results

737.0ms	8256×	body	256	valid
25.0ms	271×	body	256	infinite

Bogosity

preprocess27.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	35	24
2	100	24
3	147	24
4	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)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	21	12
2	59	12
3	125	12
4	192	12
5	260	12
6	323	12
7	372	12
8	517	12
9	601	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune2.0ms (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

8.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	13.7b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 20 to 12 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.6b	(.f64 (.f64 (*.f64 a a) b) b)
✓	8.6b	(.f64 (.f64 a a) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	1489	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

Outputs

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

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

simplify129.0ms (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)))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	9.9b	(.f64 (.f64 b b) (neg.f64 a))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite49.0ms (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)))))))

simplify137.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

73 → 29

Calls

Call 1

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

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

eval10.0ms (0.2%)

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

prune14.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Error

0.1b

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.4b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
	24.4b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
✓	15.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	13.7b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	20.6b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
▶	21.2b	(neg.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
▶	4.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
▶	0.3b	(neg.f64 (pow.f64 (*.f64 b a) 2))

Compiler

Compiled 144 to 98 computations (31.9% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (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))))))))

simplify167.0ms (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)))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 6 computations (77.8% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	121	14
2	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 (2.6%)

Algorithm

1×	egg-herbie

Rules

2142×	`associate-l_binary64`
1789×	`associate-r_binary64`
757×	`sqr-pow_binary64`
304×	`unswap-sqr_binary64`
256×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	18	408
2	39	408
3	108	408
4	488	408
5	1071	408
6	1137	408
7	1237	408
8	1357	408
9	1479	408
10	1626	408
11	1790	408
12	1979	408
13	2192	408
14	2422	408
15	2666	408
16	2931	408
17	3210	408
18	3510	408
19	3824	408

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (.f64 b (neg.f64 a)))
✓	5.1b	(.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	@	-inf	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
0.0ms	a	@	0	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
0.0ms	a	@	-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))))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify129.0ms (2.6%)

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 1 expressions with local error:

New	Error	Program
✓	20.4b	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (0.8%)

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	7
1	146	7
2	1580	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

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

11 → 11

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (sqrt.f64 b))
✓	0.2b	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
✓	2.9b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b)

Compiler

Compiled 34 to 14 computations (58.8% saved)

series13.0ms (0.3%)

Counts

3 → 36

Calls

18 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	165	23
2	1856	23

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	324
1	33	324
2	102	324
3	444	324
4	1147	324
5	3011	324
6	4930	324
7	6137	324
8	7072	324
9	7602	324

Stop Event

1×

unsound

Counts

86 → 55

Calls

Call 1

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

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

eval26.0ms (0.5%)

Compiler: Compiled 1450 to 691 computations (52.3% saved)

prune28.0ms (0.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	1	1
Picked	0	1	1
Done	2	4	6
Total	141	11	152

Error

0.0b

Counts

152 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	13.7b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	5.4b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	24.4b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
	35.5b	(neg.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))))
✓	15.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	20.6b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
▶	21.2b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
▶	27.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))
✓	4.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))

Compiler

Compiled 205 to 126 computations (38.5% 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))))))

simplify167.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.6b	(.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)))

rewrite42.0ms (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)))))))

simplify101.0ms (2.1%)

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)))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (.f64 (.f64 a a) b) 3)
✓	4.6b	(.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b)
	8.6b	(.f64 (.f64 a a) b)
✓	25.0b	(cbrt.f64 (pow.f64 (.f64 (.f64 a a) b) 3))

Compiler

Compiled 49 to 19 computations (61.2% saved)

series10.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

144 → 79

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 a (.f64 a b))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
✓	4.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
✓	22.1b	(cbrt.f64 (.f64 a (.f64 a b)))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series17.0ms (0.4%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b)
2.0ms	a	@	inf	(cbrt.f64 (.f64 a (.f64 a b)))
1.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
1.0ms	a	@	0	(cbrt.f64 (.f64 a (.f64 a b)))
1.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)

rewrite61.0ms (1.2%)

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))))))))

simplify171.0ms (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

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)))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a)))
✓	0.1b	(.f64 (.f64 b a) (sqrt.f64 (*.f64 b a)))
✓	9.4b	(sqrt.f64 (*.f64 b a))

Compiler

Compiled 46 to 7 computations (84.8% saved)

series13.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

70 → 49

Calls

Call 1

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

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

eval66.0ms (1.4%)

Compiler: Compiled 3713 to 1627 computations (56.2% saved)

prune49.0ms (1%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	275	5	280
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	275	16	291

Error

0.0b

Counts

291 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.2b	(neg.f64 (.f64 (.f64 (.f64 b a) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 b a))) 3)) (sqrt.f64 (*.f64 b a))))
✓	15.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
▶	26.9b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a))))
✓	5.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	13.7b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	5.4b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	24.4b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
▶	35.5b	(neg.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))))
	27.1b	(neg.f64 (.f64 (.f64 (.f64 b a) (.f64 (cbrt.f64 (.f64 b a)) (cbrt.f64 (sqrt.f64 (.f64 b a))))) (sqrt.f64 (*.f64 b a))))
▶	50.5b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 a)) (sqrt.f64 a)) b))
✓	4.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
▶	32.2b	(neg.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (.f64 a a)) b)) b))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	20.6b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
✓	21.2b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
✓	27.0b	(neg.f64 (.f64 (.f64 (.f64 b a) (sqrt.f64 (.f64 b a))) (sqrt.f64 (*.f64 b a))))

Compiler

Compiled 317 to 186 computations (41.3% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a)))
✓	5.3b	(pow.f64 (*.f64 b a) 3/2)
	9.4b	(sqrt.f64 (*.f64 b a))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series120.0ms (2.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	a	@	-inf	(pow.f64 (*.f64 b a) 3/2)
32.0ms	b	@	0	(pow.f64 (*.f64 b a) 3/2)
21.0ms	a	@	0	(pow.f64 (*.f64 b a) 3/2)
13.0ms	b	@	-inf	(pow.f64 (*.f64 b a) 3/2)
7.0ms	a	@	inf	(pow.f64 (*.f64 b a) 3/2)

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 45

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (*.f64 a b) (sqrt.f64 a)) (sqrt.f64 a))
✓	0.0b	(.f64 (.f64 a b) (sqrt.f64 a))
✓	1.0b	(.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 a)) (sqrt.f64 a)) b)

Compiler

Compiled 47 to 8 computations (83% saved)

series8.0ms (0.2%)

Counts

3 → 60

Calls

18 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
694×	`add-log-exp_binary64`
694×	`log1p-expm1-u_binary64`
694×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	21
2	2084	21

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

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

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1091×	`fma-def_binary64`
845×	`unswap-sqr_binary64`
426×	`fma-neg_binary64`
419×	`distribute-rgt-neg-in_binary64`
414×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	516
1	52	516
2	155	492
3	610	492
4	1524	492
5	4167	492
6	6090	492
7	7596	492

Stop Event

1×	node limit

Counts

100 → 48

Calls

Call 1

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

localize52.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (*.f64 a a)) b)
✓	4.6b	(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (.f64 a a)) b)) b)
✓	17.7b	(.f64 (pow.f64 a 4) (.f64 b b))
✓	25.0b	(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (*.f64 a a)) b))

Compiler

Compiled 92 to 40 computations (56.5% saved)

series10.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
568×	`pow-prod-down_binary64`
398×	`pow-unpow_binary64`
276×	`pow2_binary64`
241×	`exp-to-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	74
1	248	34
2	3014	32

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (*.f64 a a)) b))
(.f64 (pow.f64 a 4) (.f64 b b))
(.f64 (cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (.f64 a a)) b)) b)
(.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (*.f64 a a)) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) (pow.f64 (.f64 (cbrt.f64 b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cbrt.f64 b) a) 2) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) (cbrt.f64 (.f64 a (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 a 4)) (.f64 (pow.f64 (cbrt.f64 a) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (sqrt.f64 b)) (.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))))))) (#(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 pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6) 1/3)))) (#(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)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12)) 1/6)))) (#(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 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 3/2)))) (#(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)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 a (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 a) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a (sqrt.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 a b)) 9) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 4) (pow.f64 a 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 b)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 a b) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (.f64 a b) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a b) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a b) 6) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (pow.f64 (cbrt.f64 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 b 4) (pow.f64 a 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 pow.f64 (.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 6) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a (sqrt.f64 b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 a b)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 b)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 b 6) (pow.f64 a 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (.f64 a b)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 6)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (fma.f64 2 (log.f64 a) (log.f64 b)) 1) 3))))))

simplify134.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1077×	`unswap-sqr_binary64`
706×	`fma-def_binary64`
337×	`fma-neg_binary64`
325×	`sqr-pow_binary64`
292×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	944
1	62	944
2	191	944
3	736	944
4	1453	944
5	1931	944
6	2519	944
7	3244	944
8	4284	944
9	4859	944
10	7149	944

Stop Event

1×	node limit

Counts

227 → 141

Calls

Call 1

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

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

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (.f64 b (.f64 a a)) 3)
✓	8.6b	(.f64 b (.f64 a a))
✓	14.0b	(.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))
✓	25.1b	(cbrt.f64 (.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3)))

Compiler

Compiled 59 to 27 computations (54.2% saved)

series8.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))
1.0ms	b	@	0	(.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))
1.0ms	b	@	inf	(.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))
0.0ms	a	@	inf	(.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3))
0.0ms	b	@	0	(cbrt.f64 (.f64 (pow.f64 (.f64 b (*.f64 a a)) 3) (pow.f64 b 3)))

rewrite80.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	218	37
2	2405	37

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

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

simplify242.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1257×	`sqr-pow_binary64`
742×	`pow-sqr_binary64`
680×	`fabs-mul_binary64`
676×	`cube-prod_binary64`
350×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	888
1	38	888
2	113	888
3	514	888
4	1179	888
5	1267	888
6	1416	888
7	1607	888
8	1839	888
9	2139	888
10	2533	888
11	3045	888
12	3639	888
13	4363	888
14	4674	888
15	4926	888
16	5122	888
17	5282	888
18	5414	888
19	6272	888
20	7256	888
21	7727	888

Stop Event

1×	node limit

Counts

177 → 86

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 a 2) (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 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 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 b (.f64 a (*.f64 a b)))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.f64 (pow.f64 a 6) (pow.f64 b 6))
(*.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 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))
(*.f64 (pow.f64 a 6) (pow.f64 b 3))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 b a) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) 3))
✓	0.3b	(cbrt.f64 (sqrt.f64 (*.f64 b a)))
✓	0.4b	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) 3)
	9.4b	(sqrt.f64 (*.f64 b a))

Compiler

Compiled 68 to 20 computations (70.6% saved)

series15.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

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

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
651×	`add-log-exp_binary64`
651×	`log1p-expm1-u_binary64`
651×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	190	20
2	1894	20

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-l_binary64`
552×	`fma-neg_binary64`
485×	`associate-r_binary64`
445×	`times-frac_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	856
1	159	840
2	391	696
3	1193	552
4	5075	480

Stop Event

1×	node limit

Counts

108 → 74

Calls

Call 1

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

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

eval174.0ms (3.6%)

Compiler: Compiled 7144 to 3550 computations (50.3% saved)

prune97.0ms (2%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	458	5	463
Fresh	1	0	1
Picked	1	0	1
Done	2	12	14
Total	462	17	479

Error

Counts

479 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	27.0b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (pow.f64 (pow.f64 (*.f64 b a) 1/4) 2)))
	38.5b	(neg.f64 (cbrt.f64 (*.f64 (pow.f64 a 6) (pow.f64 b 6))))
✓	26.9b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (sqrt.f64 (*.f64 b a))))
✓	15.7b	(.f64 a (.f64 (*.f64 b b) (neg.f64 a)))
✓	5.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 3) b))
✓	13.7b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	32.2b	(neg.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 a 4) (.f64 b b)) (.f64 a a)) b)) b))
	17.8b	(neg.f64 (.f64 (.f64 a (sqrt.f64 b)) (.f64 (.f64 a (sqrt.f64 b)) b)))
✓	5.4b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	24.4b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (*.f64 a a) b) 3)) b))
✓	20.6b	(neg.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) b))
	28.1b	(neg.f64 (.f64 (.f64 a (.f64 b (sqrt.f64 (.f64 b a)))) (sqrt.f64 (*.f64 b a))))
✓	50.5b	(neg.f64 (.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 a)) (sqrt.f64 a)) b))
✓	4.8b	(neg.f64 (.f64 (.f64 a (*.f64 a b)) b))
✓	0.3b	(neg.f64 (.f64 (.f64 b a) (*.f64 b a)))
✓	21.2b	(.f64 (.f64 a a) (*.f64 b (neg.f64 b)))
	27.2b	(neg.f64 (.f64 (pow.f64 (.f64 b a) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 b a))) 3)))

Compiler

Compiled 216 to 135 computations (37.5% saved)

regimes62.0ms (1.3%)

Accuracy

Total -57.4b remaining (-18138.9%)

Threshold costs -57.4b (-18138.9%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	a
12.0ms	b
8.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
7.0ms	(*.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 297 to 137 computations (53.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	14	12
2	24	12
3	31	12
4	36	12
5	38	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

soundness29.0ms (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)

end14.0ms (0.3%)

Remove: (sort a b)
Compiler: Compiled 30 to 18 computations (40% saved)