Details

analyze56.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
43.7%	43.7%	12.6%	7
46.8%	34.3%	18.8%	8
57.8%	23.4%	18.8%	9
60.1%	18%	22%	10
66%	12.1%	22%	11
67.3%	9.2%	23.5%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample771.0ms (20.8%)

Results

744.0ms	8256×	body	256	valid
13.0ms	161×	body	256	invalid

preprocess20.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

24×	`associate-l_binary64`
21×	`associate-r_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	22	20
2	50	20
3	73	20
4	74	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 (.f64 (*.f64 x 3) x) y)
(.f64 (.f64 (*.f64 y 3) y) x)

Outputs
(.f64 (.f64 (*.f64 x 3) x) y)
(.f64 (.f64 x 3) (*.f64 x y))
(.f64 3 (.f64 x (*.f64 x y)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 (.f64 (*.f64 y 3) y) x)
(.f64 x (.f64 y (*.f64 3 y)))
(.f64 y (.f64 (*.f64 3 y) x))
(.f64 (.f64 x 3) (*.f64 y y))
(.f64 x (.f64 3 (*.f64 y y)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-l_binary64`
13×	`associate-r_binary64`
8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	27	10
3	45	10
4	48	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x 3) x) y)

Outputs
(.f64 (.f64 (*.f64 x 3) x) y)
(.f64 (.f64 x 3) (*.f64 x y))
(.f64 x (.f64 (*.f64 y 3) x))
(.f64 x (.f64 x (*.f64 3 y)))

eval1.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
▶	11.8b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.4b	(.f64 (.f64 (*.f64 x 3) x) y)
	0.1b	(.f64 (.f64 x 3) x)
✓	0.1b	(.f64 (.f64 x 3) x)
✓	11.4b	(.f64 (.f64 (*.f64 x 3) x) y)

series7.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (.f64 (*.f64 x 3) x) y)
1.0ms	y	@	0	(.f64 (.f64 (*.f64 x 3) x) y)
1.0ms	x	@	0	(.f64 (.f64 (*.f64 x 3) x) y)
1.0ms	x	@	inf	(.f64 (.f64 (*.f64 x 3) x) y)
1.0ms	y	@	inf	(.f64 (.f64 (*.f64 x 3) x) y)

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1666	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x 3) x) y)
(.f64 (.f64 x 3) x)

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

Outputs

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

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

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	19	324
2	41	324
3	91	324
4	257	324
5	855	324
6	1091	324
7	1505	324
8	1605	324
9	1740	324
10	1909	324
11	2152	324
12	2467	324
13	2839	324
14	3293	324
15	3872	324
16	4580	324
17	5440	324
18	5868	324
19	6178	324
20	6490	324
21	6572	324
22	6606	324

Stop Event

1×	node limit

Counts

62 → 30

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 3 y))
	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
✓	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
✓	0.2b	(.f64 x (.f64 3 y))

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 x (.f64 3 y))
1.0ms	y	@	inf	(.f64 x (.f64 3 y))
1.0ms	y	@	0	(.f64 x (.f64 3 y))
1.0ms	x	@	inf	(.f64 x (.f64 3 y))
0.0ms	x	@	-inf	(.f64 x (.f64 3 y))

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
597×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1672	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 x (.f64 3 y))
(.f64 x (.f64 x (*.f64 3 y)))

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

Outputs

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

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

simplify149.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
639×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	22	408
2	45	408
3	87	408
4	235	408
5	779	408
6	1012	408
7	1426	408
8	1526	408
9	1661	408
10	1830	408
11	2075	408
12	2390	408
13	2762	408
14	3219	408
15	3802	408
16	4508	408
17	5366	408
18	5790	408
19	6106	408
20	6414	408
21	6494	408
22	6528	408

Stop Event

1×	node limit

Counts

74 → 30

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))

eval15.0ms (0.4%)

Compiler: Compiled 580 to 401 computations (30.9% saved)

prune15.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	8	62

Error

0.0b

Counts

62 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	35.0b	(cbrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3) (pow.f64 x 3)))
▶	19.3b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3)))
▶	21.3b	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
▶	11.8b	(.f64 (.f64 3 (*.f64 x x)) y)
▶	11.8b	(.f64 3 (.f64 y (pow.f64 x 2)))
▶	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
✓	11.8b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 150 to 110 computations (26.7% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 3 (.f64 y x))
	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	0.3b	(.f64 3 (.f64 y x))

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 3 (.f64 y x))
0.0ms	y	@	inf	(.f64 3 (.f64 y x))
0.0ms	y	@	-inf	(.f64 3 (.f64 y x))
0.0ms	x	@	0	(.f64 x (.f64 3 (*.f64 y x)))
0.0ms	y	@	-inf	(.f64 x (.f64 3 (*.f64 y x)))

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1701	17

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 x (.f64 3 (*.f64 y x)))

Outputs

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

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

simplify133.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	79	240
4	208	240
5	713	240
6	971	240
7	1385	240
8	1485	240
9	1618	240
10	1790	240
11	2033	240
12	2348	240
13	2718	240
14	3174	240
15	3757	240
16	4465	240
17	5325	240
18	5753	240
19	6069	240
20	6379	240
21	6457	240
22	6493	240

Stop Event

1×	node limit

Counts

48 → 26

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.4b	(.f64 (.f64 3 (*.f64 x x)) y)
	0.2b	(.f64 3 (.f64 x x))
✓	0.2b	(.f64 3 (.f64 x x))
✓	11.4b	(.f64 (.f64 3 (*.f64 x x)) y)

series2.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	x	@	inf	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	x	@	-inf	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	y	@	inf	(.f64 (.f64 3 (*.f64 x x)) y)
0.0ms	y	@	-inf	(.f64 (.f64 3 (*.f64 x x)) y)

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
594×	`add-log-exp_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
580×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1673	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 3 (*.f64 x x)) y)
(.f64 3 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x (*.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x (*.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x (*.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))))

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	19	324
2	41	324
3	91	324
4	257	324
5	855	324
6	1091	324
7	1505	324
8	1605	324
9	1740	324
10	1909	324
11	2152	324
12	2467	324
13	2839	324
14	3293	324
15	3872	324
16	4580	324
17	5440	324
18	5868	324
19	6178	324
20	6490	324
21	6572	324
22	6606	324

Stop Event

1×	node limit

Counts

58 → 26

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
	0.2b	(.f64 (.f64 x 3) y)
	0.2b	(.f64 x (.f64 (*.f64 x 3) y))
✓	0.2b	(.f64 x (.f64 (*.f64 x 3) y))
✓	0.2b	(.f64 (.f64 x 3) y)
✓	0.7b	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
0.0ms	y	@	-inf	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
0.0ms	y	@	inf	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)

rewrite70.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`prod-diff_binary64`
530×	`fma-def_binary64`
488×	`log-prod_binary64`
319×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	218	27
2	2845	27

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
(.f64 (.f64 x 3) y)
(.f64 x (.f64 (*.f64 x 3) y))

Outputs

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

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

simplify172.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
640×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	648
1	22	648
2	45	648
3	87	648
4	237	648
5	812	648
6	1050	648
7	1464	648
8	1564	648
9	1697	648
10	1869	648
11	2112	648
12	2427	648
13	2797	648
14	3256	648
15	3837	648
16	4547	648
17	5407	648
18	5833	648
19	6147	648
20	6453	648
21	6531	648
22	6567	648

Stop Event

1×	node limit

Counts

266 → 123

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y x))
(.f64 y (.f64 x 3))
(.f64 y (.f64 3 x))
(.f64 x (.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 x (.f64 x (*.f64 3 y)))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.4b	(*.f64 y (pow.f64 x 2))
	0.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	11.4b	(*.f64 y (pow.f64 x 2))

series4.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	y	@	0	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	y	@	inf	(*.f64 y (pow.f64 x 2))

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
626×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	17
2	1787	17

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 (*.f64 x x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (*.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y 3)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) (*.f64 y y)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (*.f64 x x) 3))))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

24 → 24

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	28.8b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
	0.2b	(pow.f64 (.f64 x (.f64 3 y)) 3)
	0.2b	(.f64 x (.f64 3 y))
	0.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3)))
✓	0.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3)))
	0.2b	(.f64 x (.f64 3 y))
✓	0.2b	(pow.f64 (.f64 x (.f64 3 y)) 3)
✓	28.8b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))

series16.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	192	27
2	2065	27

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 x (.f64 3 y)) 3))
(pow.f64 (.f64 x (.f64 3 y)) 3)
(.f64 x (cbrt.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 3 y) (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) (*.f64 x (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 3 y)) (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 27 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27 (pow.f64 y 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) (pow.f64 (*.f64 x (*.f64 3 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 y (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 3) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) x) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 3 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) 1) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (sqrt.f64 (*.f64 x (*.f64 3 y)))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 x 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)))))))

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

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

858×	`unswap-sqr_binary64`
508×	`distribute-rgt-neg-in_binary64`
474×	`distribute-lft-neg-in_binary64`
332×	`neg-mul-1_binary64`
329×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	784
1	73	784
2	213	784
3	657	784
4	1000	784
5	1658	784
6	2030	784
7	2349	784
8	2943	784
9	3250	784
10	3555	784
11	5055	784
12	6254	784

Stop Event

1×	node limit

Counts

149 → 87

Calls

Call 1

Inputs
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 3 (.f64 y x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))

Outputs
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 3 (.f64 y x))
(.f64 y (.f64 3 x))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) x)))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) x))
(.f64 (.f64 x (cbrt.f64 -27)) (neg.f64 y))
(.f64 x (.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 y (.f64 (cbrt.f64 -27) (neg.f64 x)))
(.f64 y (.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 3)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 (.f64 3 y) (*.f64 x x))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 x (*.f64 3 x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))
(.f64 -1 (.f64 y (*.f64 (pow.f64 x 2) (cbrt.f64 -27))))
(neg.f64 (.f64 (.f64 y (cbrt.f64 -27)) (*.f64 x x)))
(.f64 (neg.f64 (.f64 y (cbrt.f64 -27))) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y (neg.f64 (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 y (cbrt.f64 -27))) (neg.f64 x))
(.f64 y (.f64 x (*.f64 (cbrt.f64 -27) (neg.f64 x))))
(.f64 (.f64 y x) (*.f64 x (neg.f64 (cbrt.f64 -27))))

eval83.0ms (2.2%)

Compiler: Compiled 3969 to 2621 computations (34% saved)

prune48.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	296	5	301
Fresh	1	0	1
Picked	1	0	1
Done	2	4	6
Total	300	9	309

Error

Counts

309 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
▶	0.2b	(.f64 (.f64 x y) (*.f64 x 3))
▶	35.0b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
✓	11.8b	(.f64 (.f64 3 (*.f64 x x)) y)
✓	11.8b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
▶	11.8b	(.f64 (.f64 x x) (*.f64 3 y))
▶	0.2b	(pow.f64 (.f64 3 (.f64 x (*.f64 x y))) 1)
▶	21.2b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)

Compiler

Compiled 148 to 107 computations (27.7% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 3 (.f64 x (*.f64 x y)))
	0.1b	(.f64 x (.f64 x y))
✓	0.1b	(.f64 x (.f64 x y))
✓	0.2b	(.f64 3 (.f64 x (*.f64 x y)))

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 x y))
0.0ms	x	@	0	(.f64 3 (.f64 x (*.f64 x y)))
0.0ms	x	@	inf	(.f64 3 (.f64 x (*.f64 x y)))
0.0ms	x	@	-inf	(.f64 3 (.f64 x (*.f64 x y)))
0.0ms	y	@	-inf	(.f64 3 (.f64 x (*.f64 x y)))

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`pow1_binary64`
610×	`add-log-exp_binary64`
610×	`log1p-expm1-u_binary64`
610×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1673	17

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 3 (.f64 x (*.f64 x y)))
(.f64 x (.f64 x y))

Outputs

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

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

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	17	408
2	37	408
3	79	408
4	208	408
5	713	408
6	971	408
7	1385	408
8	1485	408
9	1618	408
10	1790	408
11	2033	408
12	2348	408
13	2718	408
14	3174	408
15	3757	408
16	4465	408
17	5325	408
18	5753	408
19	6069	408
20	6379	408
21	6457	408
22	6493	408

Stop Event

1×	node limit

Counts

72 → 28

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))
(*.f64 y (pow.f64 x 2))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	11.4b	(.f64 (.f64 x x) (*.f64 3 y))
✓	11.4b	(.f64 (.f64 x x) (*.f64 3 y))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) (*.f64 3 y))
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 3 y))
0.0ms	y	@	-inf	(.f64 (.f64 x x) (*.f64 3 y))
0.0ms	y	@	inf	(.f64 (.f64 x x) (*.f64 3 y))
0.0ms	y	@	0	(.f64 (.f64 x x) (*.f64 3 y))

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
595×	`add-log-exp_binary64`
595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	10
2	1675	10

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 3 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (*.f64 x y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 y y) 9) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))))

simplify131.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	79	240
4	208	240
5	713	240
6	971	240
7	1385	240
8	1485	240
9	1618	240
10	1790	240
11	2033	240
12	2348	240
13	2718	240
14	3174	240
15	3757	240
16	4465	240
17	5325	240
18	5753	240
19	6069	240
20	6379	240
21	6457	240
22	6493	240

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x y) (*.f64 x 3))
✓	0.2b	(.f64 (.f64 x y) (*.f64 x 3))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x y) (*.f64 x 3))
0.0ms	y	@	-inf	(.f64 (.f64 x y) (*.f64 x 3))
0.0ms	x	@	-inf	(.f64 (.f64 x y) (*.f64 x 3))
0.0ms	x	@	inf	(.f64 (.f64 x y) (*.f64 x 3))
0.0ms	y	@	inf	(.f64 (.f64 x y) (*.f64 x 3))

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	10
2	1711	10

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 x y) (*.f64 x 3))

Outputs

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

simplify132.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	79	240
4	208	240
5	713	240
6	971	240
7	1385	240
8	1485	240
9	1618	240
10	1790	240
11	2033	240
12	2348	240
13	2718	240
14	3174	240
15	3757	240
16	4465	240
17	5325	240
18	5753	240
19	6069	240
20	6379	240
21	6457	240
22	6493	240

Stop Event

1×	node limit

Counts

37 → 15

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
	0.2b	(.f64 3 (.f64 x (*.f64 x y)))
	0.1b	(.f64 x (.f64 x y))
	0.1b	(.f64 x (.f64 x y))
	0.2b	(.f64 3 (.f64 x (*.f64 x y)))
✓	0.7b	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
0.0ms	y	@	inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
0.0ms	y	@	-inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
518×	`fma-def_binary64`
479×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	217	10
2	2817	10

Stop Event

1×	node limit

Counts

1 → 98

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x y) (*.f64 3 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) (*.f64 3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 3 (*.f64 x (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 x x)) 2)) (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (*.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) (cbrt.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))) (/.f64 1 (fma.f64 3 (*.f64 x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) (cbrt.f64 (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2)) (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3)) (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3)) (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (-.f64 1 (*.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))) (fma.f64 3 (*.f64 x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x)))))) (neg.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 2) (fma.f64 (*.f64 x y) (*.f64 3 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 2)) (-.f64 1 (fma.f64 (*.f64 x y) (*.f64 3 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x y) (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (*.f64 x (sqrt.f64 y)) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2)) (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (*.f64 x (sqrt.f64 y)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x y) (*.f64 3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x y) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) (*.f64 3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x y)) 3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x y) (*.f64 3 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 y 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) (cbrt.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) (cbrt.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 2) (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x y))) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) (*.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 y)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1) 2) (fma.f64 3 (*.f64 x (*.f64 x y)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27 (pow.f64 (*.f64 x (sqrt.f64 y)) 6) 1) (/.f64 1 (fma.f64 (*.f64 (*.f64 x y) (*.f64 3 x)) (fma.f64 (*.f64 x y) (*.f64 3 x) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))) (/.f64 1 (fma.f64 3 (*.f64 x (*.f64 x y)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x y) (*.f64 3 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) (*.f64 x y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1)) (sqrt.f64 (fma.f64 (*.f64 x y) (*.f64 3 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 3 (*.f64 x (*.f64 x y)) 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y)) 1) (fma.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x y)) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x x)) y 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 y)) 4))) (cbrt.f64 (*.f64 x (*.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x (sqrt.f64 y))) (*.f64 x (sqrt.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) 1) (*.f64 x y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) x) y 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) y) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 3 x) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) (*.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 3) (*.f64 x (sqrt.f64 y))) (sqrt.f64 (fma.f64 9 (pow.f64 (*.f64 x (sqrt.f64 y)) 4) (*.f64 -3 (*.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) (*.f64 3 x))))))))

simplify134.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	79	240
4	208	240
5	713	240
6	971	240
7	1385	240
8	1485	240
9	1618	240
10	1790	240
11	2033	240
12	2348	240
13	2718	240
14	3174	240
15	3757	240
16	4465	240
17	5325	240
18	5753	240
19	6069	240
20	6379	240
21	6457	240
22	6493	240

Stop Event

1×	node limit

Counts

122 → 100

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	28.4b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
	5.6b	(.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3))
	0.2b	(pow.f64 (.f64 x (.f64 3 y)) 3)
	0.2b	(.f64 x (.f64 3 y))
	0.2b	(.f64 x (.f64 3 y))
	0.2b	(pow.f64 (.f64 x (.f64 3 y)) 3)
✓	5.6b	(.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3))
✓	28.4b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	23
2	2433	23

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
(.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 (*.f64 x y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x y) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 2)) (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))) (sqrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 2) 1/3) (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 3) 2))) (cbrt.f64 (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 (*.f64 x y) 3))) (sqrt.f64 (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 x y) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 x y) 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x y) 3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 x y) 3) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x y) 3) 3) 3) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 (*.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 3) 27))))))))

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
595×	`sqr-pow_binary64`
364×	`distribute-rgt-neg-in_binary64`
346×	`pow-sqr_binary64`
329×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	568
1	51	568
2	151	568
3	549	568
4	886	568
5	1565	568
6	1873	568
7	2274	568
8	2811	568
9	3367	568
10	3787	568
11	4260	568
12	4893	568
13	6017	568

Stop Event

1×	node limit

Counts

87 → 45

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 x (.f64 y (*.f64 3 x)))
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 y (.f64 (*.f64 x x) (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -27))) (neg.f64 y))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) (neg.f64 y)))
(.f64 y (.f64 (cbrt.f64 -27) (*.f64 x (neg.f64 x))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 y (.f64 (*.f64 x x) (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -27))) (neg.f64 y))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) (neg.f64 y)))
(.f64 y (.f64 (cbrt.f64 -27) (*.f64 x (neg.f64 x))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 y (.f64 (*.f64 x x) (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -27))) (neg.f64 y))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) (neg.f64 y)))
(.f64 y (.f64 (cbrt.f64 -27) (*.f64 x (neg.f64 x))))
(.f64 -1 (.f64 y (*.f64 (cbrt.f64 -27) (pow.f64 x 2))))
(neg.f64 (.f64 y (.f64 (*.f64 x x) (cbrt.f64 -27))))
(.f64 (.f64 x (*.f64 x (cbrt.f64 -27))) (neg.f64 y))
(.f64 (.f64 x x) (*.f64 (cbrt.f64 -27) (neg.f64 y)))
(.f64 y (.f64 (cbrt.f64 -27) (*.f64 x (neg.f64 x))))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))
(.f64 27 (.f64 (pow.f64 y 3) (pow.f64 x 6)))
(.f64 (pow.f64 y 3) (.f64 27 (pow.f64 x 6)))

eval78.0ms (2.1%)

Compiler: Compiled 3726 to 2323 computations (37.7% saved)

prune81.0ms (2.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	0	0	0
Picked	0	1	1
Done	3	5	8
Total	276	7	283

Error

Counts

283 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.0b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
▶	0.2b	(.f64 (.f64 x (*.f64 x y)) 3)
✓	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
✓	0.2b	(.f64 (.f64 x y) (*.f64 x 3))
✓	11.8b	(.f64 (.f64 3 (*.f64 x x)) y)
✓	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	11.8b	(.f64 (.f64 x x) (*.f64 3 y))

Compiler

Compiled 68 to 47 computations (30.9% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x (*.f64 x y)) 3)
	0.1b	(.f64 x (.f64 x y))
	0.1b	(.f64 x (.f64 x y))
✓	0.2b	(.f64 (.f64 x (*.f64 x y)) 3)

series17.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(.f64 (.f64 x (*.f64 x y)) 3)
0.0ms	x	@	0	(.f64 (.f64 x (*.f64 x y)) 3)
0.0ms	x	@	inf	(.f64 (.f64 x (*.f64 x y)) 3)
0.0ms	y	@	inf	(.f64 (.f64 x (*.f64 x y)) 3)
0.0ms	x	@	-inf	(.f64 (.f64 x (*.f64 x y)) 3)

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
595×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	142	10
2	1669	10

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x (*.f64 x y)) 3)

Outputs

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

simplify134.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
642×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	79	240
4	208	240
5	713	240
6	971	240
7	1385	240
8	1485	240
9	1618	240
10	1790	240
11	2033	240
12	2348	240
13	2718	240
14	3174	240
15	3757	240
16	4465	240
17	5325	240
18	5753	240
19	6069	240
20	6379	240
21	6457	240
22	6493	240

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 3 (.f64 y (pow.f64 x 2)))
(.f64 3 (.f64 y (*.f64 x x)))
(.f64 y (.f64 (*.f64 x x) 3))
(.f64 y (.f64 3 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 3 y))

eval7.0ms (0.2%)

Compiler: Compiled 265 to 161 computations (39.2% saved)

prune15.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	28	7	35

Error

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.0b	(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
✓	0.2b	(.f64 (.f64 x (*.f64 x y)) 3)
✓	0.2b	(.f64 x (.f64 x (*.f64 3 y)))
✓	0.2b	(.f64 (.f64 x y) (*.f64 x 3))
✓	11.8b	(.f64 (.f64 3 (*.f64 x x)) y)
✓	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	11.8b	(.f64 (.f64 x x) (*.f64 3 y))

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes32.0ms (0.9%)

Accuracy

Total -37.4b remaining (-18917%)

Threshold costs -37.4b (-18917%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x (*.f64 x y)) 3)
(.f64 (.f64 x y) (*.f64 x 3))
(.f64 (.f64 x x) (*.f64 3 y))
(.f64 (.f64 3 (*.f64 x x)) y)
(.f64 x (.f64 3 (*.f64 y x)))
(.f64 x (.f64 x (*.f64 3 y)))
(.f64 (.f64 (*.f64 x 3) x) y)
(-.f64 (+.f64 1 (.f64 3 (.f64 x (*.f64 x y)))) 1)
(-.f64 (+.f64 1 (.f64 x (.f64 (*.f64 x 3) y))) 1)
(.f64 3 (.f64 y (pow.f64 x 2)))
(pow.f64 (.f64 3 (.f64 x (*.f64 x y))) 1)
(.f64 x (cbrt.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x (*.f64 3 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (*.f64 3 y)) 3) (pow.f64 x 3)))

Outputs
(.f64 (.f64 x (*.f64 x y)) 3)

Calls

4 calls:

9.0ms	y
9.0ms	x
6.0ms	(.f64 (.f64 x 3) x)
5.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(.f64 (.f64 (*.f64 x 3) x) y)`
0.2b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 145 to 91 computations (37.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x (*.f64 x y)) 3)

Outputs
(.f64 (.f64 x (*.f64 x y)) 3)

end33.0ms (0.9%)

Stop Event

1×

done

Compiler

Compiled 18 to 12 computations (33.3% saved)

Details

analyze56.0ms (1.5%)

sample771.0ms (20.8%)

preprocess20.0ms (0.5%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite51.0ms (1.4%)

simplify144.0ms (3.9%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite52.0ms (1.4%)

simplify149.0ms (4%)

eval15.0ms (0.4%)

prune15.0ms (0.4%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite45.0ms (1.2%)

simplify133.0ms (3.6%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite45.0ms (1.2%)

simplify144.0ms (3.9%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite70.0ms (1.9%)

simplify172.0ms (4.6%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify7.0ms (0.2%)

localize7.0ms (0.2%)

series16.0ms (0.4%)

rewrite67.0ms (1.8%)

simplify109.0ms (2.9%)

eval83.0ms (2.2%)

prune48.0ms (1.3%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify144.0ms (3.9%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (1.1%)

simplify131.0ms (3.5%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite38.0ms (1%)

simplify132.0ms (3.6%)

localize6.0ms (0.2%)

series2.0ms (0%)

rewrite55.0ms (1.5%)

simplify134.0ms (3.6%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite53.0ms (1.4%)

simplify103.0ms (2.8%)

eval78.0ms (2.1%)

prune81.0ms (2.2%)

localize4.0ms (0.1%)

series17.0ms (0.4%)

rewrite45.0ms (1.2%)

simplify134.0ms (3.6%)

eval7.0ms (0.2%)

prune15.0ms (0.4%)

regimes32.0ms (0.9%)

simplify3.0ms (0.1%)

end33.0ms (0.9%)

Profiling