Details

analyze93.0ms (5.6%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
43.7%	46.8%	9.5%	6
57.8%	32.8%	9.5%	7
60.1%	25.8%	14.1%	8
68.3%	17.6%	14.1%	9
70%	13.5%	16.5%	10
74.4%	9.1%	16.5%	11
75.5%	6.9%	17.7%	12
77.7%	4.6%	17.7%	13
78.3%	3.5%	18.2%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample766.0ms (46.3%)

Results

693.0ms	8256×	body	128	valid
60.0ms	779×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess26.0ms (1.6%)

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 9 to 6 computations (33.3% saved)

simplify7.0ms (0.4%)

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)))

prune3.0ms (0.2%)

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

Status	Error	Program
▶	0.3b	(.f64 x (.f64 x (*.f64 3 y)))
	11.5b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 52 to 34 computations (34.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
78×	`associate-r_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 → 28

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

Outputs

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

simplify83.0ms (5%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
404×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
294×	`associate-l_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

Stop Event

1×	node limit

Counts

76 → 32

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

prune27.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	25	7	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	9	34

Error

0.0b

Counts

34 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 x (.f64 x (*.f64 3 y)))
	11.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
	11.5b	(.f64 y (.f64 3 (*.f64 x x)))
▶	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
	11.5b	(.f64 (.f64 (*.f64 x 3) x) y)
	31.7b	(pow.f64 (.f64 x (sqrt.f64 (.f64 3 y))) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (*.f64 y x)))) 3)
	18.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 3)))
	0.9b	(.f64 x (pow.f64 (cbrt.f64 (.f64 3 (*.f64 y x))) 3))

Compiler

Compiled 485 to 321 computations (33.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite45.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
81×	`associate-r_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 → 26

Calls

Call 1

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

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

Outputs

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

simplify72.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
404×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
269×	`*-commutative_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

Stop Event

1×	node limit

Counts

50 → 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)))

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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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)))

prune25.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	29	8	37

Error

0.0b

Counts

37 → 8

Alt Table

Status	Error	Program
✓	0.3b	(.f64 x (.f64 x (*.f64 3 y)))
	11.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
	21.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (*.f64 x 3)))) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (*.f64 y x)))) 3)
▶	0.3b	(pow.f64 (.f64 x (.f64 y (*.f64 x 3))) 1)
	18.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 3)))
	11.5b	(.f64 y (.f64 3 (*.f64 x x)))
	11.5b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 433 to 306 computations (29.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`pow1_binary64`
623×	`add-log-exp_binary64`
623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
82×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1729	17

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

simplify80.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
404×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
294×	`associate-l_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

Stop Event

1×	node limit

Counts

76 → 32

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

prune28.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	32	8	40

Error

0.0b

Counts

40 → 8

Alt Table

Status	Error	Program
✓	0.3b	(.f64 x (.f64 x (*.f64 3 y)))
	11.5b	(.f64 3 (.f64 y (pow.f64 x 2)))
	21.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (*.f64 x 3)))) 2)
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (*.f64 y x)))) 3)
✓	0.3b	(pow.f64 (.f64 x (.f64 y (*.f64 x 3))) 1)
	18.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 3)))
	11.5b	(.f64 y (.f64 3 (*.f64 x x)))
	11.5b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 524 to 375 computations (28.4% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 3 (.f64 y x))
	0.2b	(.f64 x (.f64 3 (*.f64 y x)))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (*.f64 y x)))) 3)
✓	21.7b	(cbrt.f64 (.f64 x (.f64 3 (*.f64 y x))))

series18.0ms (1.1%)

Counts

2 → 0

Calls

12 calls:

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

rewrite40.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
91×	`associate-r_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	191	22
2	2048	22

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

70 → 70

Calls

Call 1

Inputs

Outputs

prune78.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	98	8	106

Error

Counts

106 → 8

Alt Table

Status	Error	Program
	21.7b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y (*.f64 x 3)))) 2)
✓	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 (*.f64 y x)))) 3)
✓	0.3b	(.f64 x (.f64 x (*.f64 3 y)))
	11.5b	(.f64 (.f64 (*.f64 x 3) x) y)
	27.2b	(.f64 (sqrt.f64 (.f64 y (.f64 x 3))) (.f64 (sqrt.f64 (.f64 y (.f64 x 3))) x))
	0.2b	(.f64 (.f64 x y) (*.f64 x 3))
	0.2b	(.f64 3 (.f64 (*.f64 x y) x))
	18.2b	(.f64 x (cbrt.f64 (pow.f64 (.f64 3 (*.f64 y x)) 3)))

Compiler

Compiled 1456 to 1028 computations (29.4% saved)

regimes41.0ms (2.5%)

Accuracy

Total 0.2b remaining (93.5%)

Threshold costs 0.2b (93.5%)

Counts

19 → 1

Compiler

Compiled 186 to 117 computations (37.1% saved)

simplify2.0ms (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 y) (*.f64 x 3))

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

end81.0ms (4.9%)

Stop Event

1×

fuel

Compiler

Compiled 107 to 75 computations (29.9% saved)

Details

analyze93.0ms (5.6%)

sample766.0ms (46.3%)

preprocess26.0ms (1.6%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite47.0ms (2.9%)

simplify83.0ms (5%)

prune27.0ms (1.6%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite45.0ms (2.7%)

simplify72.0ms (4.4%)

prune25.0ms (1.5%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite44.0ms (2.7%)

simplify80.0ms (4.8%)

prune28.0ms (1.7%)

localize7.0ms (0.4%)

series18.0ms (1.1%)

rewrite40.0ms (2.4%)

simplify12.0ms (0.7%)

prune78.0ms (4.7%)

regimes41.0ms (2.5%)

simplify2.0ms (0.1%)

end81.0ms (4.9%)

Profiling