Details

analyze49.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample690.0ms (13.6%)

Results

651.0ms	8256×	body	256	valid
27.0ms	363×	body	256	invalid

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	16	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 (.f64 x y) y)
(.f64 (.f64 y x) x)

Outputs
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))
(.f64 (.f64 y x) x)
(.f64 y (.f64 x x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)

Outputs
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))

eval0.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% 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
▶	11.6b	(.f64 x (.f64 y y))
▶	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.2b	(.f64 x (.f64 y y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`pow1_binary64`
435×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
421×	`add-log-exp_binary64`
421×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1207	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 y y))

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

Outputs

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

simplify183.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	12	168
2	23	168
3	44	168
4	105	168
5	332	168
6	1258	168
7	2133	168
8	2297	168
9	2481	168
10	2689	168
11	2985	168
12	3378	168
13	3859	168
14	4425	168
15	5113	168
16	5948	168
17	6336	168
18	6624	168
19	6900	168
20	6970	168
21	7006	168
22	7947	168

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`pow1_binary64`
447×	`add-sqr-sqrt_binary64`
442×	`*-un-lft-identity_binary64`
431×	`add-log-exp_binary64`
431×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	99	7
2	1193	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)

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

Outputs

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

simplify187.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	12	168
2	23	168
3	44	168
4	105	168
5	332	168
6	1258	168
7	2133	168
8	2297	168
9	2481	168
10	2689	168
11	2985	168
12	3378	168
13	3859	168
14	4425	168
15	5113	168
16	5948	168
17	6336	168
18	6624	168
19	6900	168
20	6970	168
21	7006	168
22	7947	168

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 188 to 71 computations (62.2% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	4	28

Error

0.1b

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.2b	(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
✓	0.2b	(.f64 (.f64 x y) y)
✓	11.6b	(.f64 x (.f64 y y))
▶	33.7b	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 32 to 21 computations (34.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
	11.2b	(.f64 x (.f64 y y))
✓	18.9b	(cbrt.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series120.0ms (2.4%)

Counts

2 → 0

Calls

12 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	168	16
2	1710	16

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize27.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 x) y)
✓	0.1b	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 17 to 7 computations (58.8% saved)

series9.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
2.0ms	y	@	inf	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
1.0ms	y	@	0	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	145	13
2	1600	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify185.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
513×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	156
1	15	156
2	26	156
3	52	156
4	127	156
5	386	156
6	1460	156
7	2351	156
8	2515	156
9	2728	156
10	2948	156
11	3251	156
12	3653	156
13	4146	156
14	4714	156
15	5406	156
16	6241	156
17	6631	156
18	6921	156
19	7195	156
20	7267	156
21	7301	156

Stop Event

1×	node limit

Counts

59 → 38

Calls

Call 1

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

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

eval62.0ms (1.2%)

Compiler: Compiled 1142 to 395 computations (65.4% saved)

prune39.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	102	10	112

Error

0.0b

Counts

112 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	23.3b	(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))
▶	1.2b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y)) 3)
▶	29.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y y))) 2)
▶	1.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
▶	30.2b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	11.9b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
	12.2b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 y y)))
✓	11.6b	(.f64 x (.f64 y y))
✓	0.2b	(.f64 (.f64 x y) y)
✓	33.7b	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 184 to 120 computations (34.8% saved)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 y x))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
✓	18.9b	(cbrt.f64 (.f64 y (.f64 y x)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.2%)

Counts

3 → 24

Calls

18 calls:

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

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	168	23
2	1720	23

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify187.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	12	168
2	23	168
3	44	168
4	105	168
5	332	168
6	1258	168
7	2133	168
8	2297	168
9	2481	168
10	2689	168
11	2985	168
12	3378	168
13	3859	168
14	4425	168
15	5113	168
16	5948	168
17	6336	168
18	6624	168
19	6900	168
20	6970	168
21	7006	168
22	7947	168

Stop Event

1×	node limit

Counts

99 → 67

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (sqrt.f64 (.f64 x (.f64 y y))) 2)
	11.2b	(.f64 x (.f64 y y))
✓	15.8b	(sqrt.f64 (.f64 x (.f64 y y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`pow1_binary64`
557×	`add-log-exp_binary64`
557×	`log1p-expm1-u_binary64`
557×	`expm1-log1p-u_binary64`
541×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	165	13
2	1637	13

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	164
1	21	164
2	44	164
3	86	164
4	204	164
5	634	164
6	988	164
7	1635	164
8	2039	164
9	2929	164
10	3766	164
11	4633	164
12	5763	164

Stop Event

1×	node limit

Counts

79 → 59

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)

Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series31.0ms (0.6%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	(.f64 (.f64 x y) (sqrt.f64 y))
1.0ms	y	@	-inf	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms	x	@	0	(.f64 (.f64 x y) (sqrt.f64 y))
1.0ms	y	@	-inf	(.f64 (.f64 x y) (sqrt.f64 y))
1.0ms	x	@	inf	(.f64 (.f64 x y) (sqrt.f64 y))

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	141	14
2	1695	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def_binary64`
349×	`distribute-rgt-neg-in_binary64`
339×	`associate-l_binary64`
310×	`distribute-lft-neg-in_binary64`
300×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	276
1	39	276
2	103	252
3	315	252
4	1542	252
5	3970	252
6	5788	252
7	7499	252

Stop Event

1×

unsound

Counts

58 → 27

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) (cbrt.f64 (*.f64 y y)))
✓	0.6b	(cbrt.f64 y)
✓	25.7b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series25.0ms (0.5%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
4.0ms	x	@	0	(.f64 (.f64 x y) (cbrt.f64 (*.f64 y y)))
2.0ms	y	@	0	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
2.0ms	x	@	0	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
1.0ms	y	@	inf	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
718×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
697×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	178	28
2	2077	28

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify126.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary64`
474×	`unswap-sqr_binary64`
455×	`fma-def_binary64`
451×	`distribute-rgt-neg-in_binary64`
450×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	304
1	45	304
2	110	304
3	276	304
4	761	304
5	1236	304
6	1871	304
7	3109	304
8	4013	304
9	4834	304
10	5547	304
11	6460	304
12	7909	304

Stop Event

1×	node limit

Counts

105 → 75

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 5)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 5)) x)
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (.f64 (*.f64 y y) (cbrt.f64 -1)) x))
(.f64 (.f64 y (*.f64 y (cbrt.f64 -1))) (neg.f64 x))
(.f64 y (.f64 y (*.f64 x (neg.f64 (cbrt.f64 -1)))))
(.f64 y (.f64 (cbrt.f64 -1) (neg.f64 (*.f64 y x))))
(.f64 y (.f64 (cbrt.f64 -1) (*.f64 x (neg.f64 y))))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (.f64 (*.f64 y y) (cbrt.f64 -1)) x))
(.f64 (.f64 y (*.f64 y (cbrt.f64 -1))) (neg.f64 x))
(.f64 y (.f64 y (*.f64 x (neg.f64 (cbrt.f64 -1)))))
(.f64 y (.f64 (cbrt.f64 -1) (neg.f64 (*.f64 y x))))
(.f64 y (.f64 (cbrt.f64 -1) (*.f64 x (neg.f64 y))))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (.f64 (*.f64 y y) (cbrt.f64 -1)) x))
(.f64 (.f64 y (*.f64 y (cbrt.f64 -1))) (neg.f64 x))
(.f64 y (.f64 y (*.f64 x (neg.f64 (cbrt.f64 -1)))))
(.f64 y (.f64 (cbrt.f64 -1) (neg.f64 (*.f64 y x))))
(.f64 y (.f64 (cbrt.f64 -1) (*.f64 x (neg.f64 y))))
(.f64 -1 (.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (.f64 (.f64 (*.f64 y y) (cbrt.f64 -1)) x))
(.f64 (.f64 y (*.f64 y (cbrt.f64 -1))) (neg.f64 x))
(.f64 y (.f64 y (*.f64 x (neg.f64 (cbrt.f64 -1)))))
(.f64 y (.f64 (cbrt.f64 -1) (neg.f64 (*.f64 y x))))
(.f64 y (.f64 (cbrt.f64 -1) (*.f64 x (neg.f64 y))))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y))
✓	0.5b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y)) 3)
	0.6b	(cbrt.f64 y)
✓	10.3b	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 30 to 9 computations (70% saved)

series9.0ms (0.2%)

Counts

3 → 0

Calls

18 calls:

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

rewrite126.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
728×	`add-log-exp_binary64`
728×	`log1p-expm1-u_binary64`
728×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	188	22
2	2100	22

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

65 → 65

Calls

Call 1

Inputs

Outputs

eval148.0ms (2.9%)

Compiler: Compiled 3746 to 1324 computations (64.7% saved)

prune516.0ms (10.1%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	1	1	2
Picked	0	1	1
Done	1	6	7
Total	324	13	337

Error

0.0b

Counts

337 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.3b	(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))
✓	1.2b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y)) 3)
▶	1.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 2)))
✓	11.6b	(.f64 x (.f64 y y))
	2.8b	(.f64 (.f64 (.f64 x y) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
▶	33.9b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
▶	30.4b	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
▶	24.9b	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
✓	30.2b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	11.9b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
✓	33.7b	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 243 to 141 computations (42% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2)
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))
	18.9b	(cbrt.f64 (.f64 y (.f64 y x)))

Compiler

Compiled 85 to 20 computations (76.5% saved)

series157.0ms (3.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
70.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))
27.0ms	x	@	0	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))
16.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))
14.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))
11.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x))))

rewrite110.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	201	37
2	2172	37

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

463×	`associate-l_binary64`
419×	`associate-r_binary64`
379×	`fma-neg_binary64`
323×	`distribute-rgt-in_binary64`
270×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	868
1	158	852
2	371	772
3	1083	772
4	4425	740

Stop Event

1×	node limit

Counts

108 → 76

Calls

Call 1

Inputs
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))

Outputs
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 2 (log.f64 y)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
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(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
(exp.f64 (fma.f64 1/9 (log.f64 x) (*.f64 (log.f64 y) 2/9)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
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(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
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(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
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(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x)))
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(.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
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(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 y))) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
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(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 y) (log.f64 x))) 2)
(exp.f64 (*.f64 (fma.f64 2 (log.f64 y) (log.f64 x)) 2/9))
(pow.f64 (pow.f64 (.f64 y (.f64 y x)) 1/18) 4)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (fma.f64 2 (log.f64 y) (neg.f64 (log.f64 (/.f64 -1 x)))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (*.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1 x))) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (fma.f64 2 (log.f64 y) (neg.f64 (log.f64 (/.f64 -1 x)))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (*.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1 x))) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (fma.f64 2 (log.f64 y) (neg.f64 (log.f64 (/.f64 -1 x)))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (*.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1 x))) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 y 2)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 y)) (neg.f64 (log.f64 (/.f64 -1 x))))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (fma.f64 2 (log.f64 y) (neg.f64 (log.f64 (/.f64 -1 x)))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (exp.f64 (.f64 (-.f64 (*.f64 2 (log.f64 y)) (log.f64 (/.f64 -1 x))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (.f64 y (.f64 y (.f64 -1 x))) 1/18) 4))

localize32.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
✓	5.4b	(*.f64 x (pow.f64 y 3/2))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series9.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (pow.f64 y 3/2))
1.0ms	y	@	-inf	(*.f64 x (pow.f64 y 3/2))
1.0ms	x	@	inf	(*.f64 x (pow.f64 y 3/2))
1.0ms	x	@	-inf	(*.f64 x (pow.f64 y 3/2))
1.0ms	y	@	inf	(*.f64 x (pow.f64 y 3/2))

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
642×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	14
2	1985	14

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify134.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

517×	`fabs-mul_binary64`
497×	`distribute-rgt-neg-in_binary64`
486×	`distribute-lft-neg-in_binary64`
390×	`sqr-pow_binary64`
384×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	276
1	34	276
2	72	252
3	198	252
4	749	252
5	1277	252
6	1620	252
7	2097	252
8	2669	252
9	3541	252
10	4554	252
11	6035	252

Stop Event

1×	node limit

Counts

62 → 31

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (sqrt.f64 (pow.f64 y 3)) x)
(*.f64 x (pow.f64 y 3/2))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 y 2) x))
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
	0.2b	(.f64 y (.f64 y x))
✓	15.8b	(sqrt.f64 (.f64 y (.f64 y x)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
1.0ms	x	@	0	(sqrt.f64 (.f64 y (.f64 y x)))
1.0ms	x	@	-inf	(sqrt.f64 (.f64 y (.f64 y x)))

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
576×	`add-log-exp_binary64`
576×	`log1p-expm1-u_binary64`
576×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	165	13
2	1645	13

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

974×	`fma-def_binary64`
404×	`distribute-rgt-neg-out_binary64`
365×	`fma-neg_binary64`
337×	`distribute-rgt-neg-in_binary64`
318×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	164
1	21	164
2	44	164
3	86	164
4	204	164
5	634	164
6	988	164
7	1635	164
8	2039	164
9	2929	164
10	3766	164
11	4633	164
12	5763	164

Stop Event

1×	node limit

Counts

81 → 60

Calls

Call 1

Inputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)

Outputs
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(.f64 -1 (.f64 y (sqrt.f64 x)))
(neg.f64 (*.f64 y (sqrt.f64 x)))
(*.f64 y (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (sqrt.f64 (.f64 y x)))
✓	0.1b	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
✓	9.9b	(sqrt.f64 (*.f64 y x))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series15.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(.f64 y (sqrt.f64 (.f64 y x)))
1.0ms	x	@	-inf	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
1.0ms	y	@	0	(sqrt.f64 (*.f64 y x))
1.0ms	x	@	0	(.f64 y (sqrt.f64 (.f64 y x)))
1.0ms	x	@	0	(sqrt.f64 (*.f64 y x))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
599×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
584×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	140	22
2	1693	22

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

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

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

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1282×	`fma-def_binary64`
358×	`fma-neg_binary64`
347×	`distribute-rgt-neg-in_binary64`
321×	`neg-sub0_binary64`
311×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	168
1	27	168
2	84	168
3	275	168
4	1373	168
5	3438	168
6	5133	168
7	6563	168
8	7082	168

Stop Event

1×	node limit

Counts

68 → 47

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 y 2) x)))
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))
✓	5.2b	(*.f64 x (cbrt.f64 (pow.f64 y 4)))
	25.7b	(cbrt.f64 (*.f64 y y))
✓	29.6b	(cbrt.f64 (pow.f64 y 4))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 x (cbrt.f64 (pow.f64 y 4)))
1.0ms	y	@	0	(cbrt.f64 (pow.f64 y 4))
0.0ms	x	@	-inf	(*.f64 x (cbrt.f64 (pow.f64 y 4)))
0.0ms	x	@	inf	(*.f64 x (cbrt.f64 (pow.f64 y 4)))
0.0ms	y	@	inf	(cbrt.f64 (pow.f64 y 4))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
701×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	200	22
2	2216	22

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 y 4))
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))

Outputs

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

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

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

simplify193.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1253×	`sqr-pow_binary64`
566×	`cube-prod_binary64`
500×	`pow-sqr_binary64`
499×	`fabs-mul_binary64`
408×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	276
1	30	276
2	58	276
3	124	276
4	342	276
5	1122	276
6	1938	276
7	2092	276
8	2302	276
9	2562	276
10	2926	276
11	3415	276
12	4038	276
13	4797	276
14	5269	276
15	5590	276
16	5858	276
17	6034	276
18	6128	276
19	6861	276
20	7973	276

Stop Event

1×	node limit

Counts

84 → 52

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(.f64 (pow.f64 (.f64 1 (pow.f64 y 4)) 1/3) x)
(*.f64 (cbrt.f64 (pow.f64 y 4)) x)
(*.f64 x (cbrt.f64 (pow.f64 y 4)))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 x (.f64 y y))
(.f64 y (.f64 y x))

eval100.0ms (2%)

Compiler: Compiled 8223 to 2725 computations (66.9% saved)

prune61.0ms (1.2%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	416	1	417
Fresh	0	1	1
Picked	0	1	1
Done	0	11	11
Total	416	14	430

Error

Counts

430 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.3b	(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))
✓	1.2b	(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y)) 3)
✓	1.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 2)))
✓	11.6b	(.f64 x (.f64 y y))
	2.8b	(.f64 (.f64 (.f64 x y) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
✓	33.9b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
✓	30.4b	(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
✓	24.9b	(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
✓	1.0b	(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
✓	30.2b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	11.9b	(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
	1.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 y (*.f64 y x)))))))
✓	33.7b	(pow.f64 (*.f64 (sqrt.f64 x) y) 2)

Compiler

Compiled 189 to 106 computations (43.9% saved)

regimes29.0ms (0.6%)

Accuracy

Total -55.0b remaining (-32004.5%)

Threshold costs -55.0b (-32004.5%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 y y))
(.f64 (.f64 x y) y)
(pow.f64 (*.f64 (sqrt.f64 x) y) 2)
(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
(pow.f64 (sqrt.f64 (.f64 y (.f64 y x))) 2)
(pow.f64 (sqrt.f64 (.f64 x (.f64 y y))) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) 3)
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 y (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(.f64 (.f64 (.f64 x y) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
(pow.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 y)) 3)
(.f64 (.f64 x (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 y y)))
(.f64 (.f64 (.f64 x y) (sqrt.f64 (.f64 y (cbrt.f64 y)))) (cbrt.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 y x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 y x)))) (.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 y (*.f64 y x)))))))

Outputs
(.f64 (.f64 x y) y)

Calls

3 calls:

9.0ms	y
9.0ms	x
7.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 203 to 78 computations (61.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	10	14

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x y) y)
(.f64 x (.f64 y y))

Outputs
(.f64 (.f64 x y) y)
(.f64 y (.f64 x y))
(.f64 x (.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

soundness0.0ms (0%)

end14.0ms (0.3%)

Compiler: Compiled 12 to 6 computations (50% saved)

Details

analyze49.0ms (1%)

sample690.0ms (13.6%)

preprocess17.0ms (0.3%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify183.0ms (3.6%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite45.0ms (0.9%)

simplify187.0ms (3.7%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

series120.0ms (2.4%)

rewrite56.0ms (1.1%)

simplify7.0ms (0.1%)

localize27.0ms (0.5%)

series9.0ms (0.2%)

rewrite66.0ms (1.3%)

simplify185.0ms (3.6%)

eval62.0ms (1.2%)

prune39.0ms (0.8%)

localize21.0ms (0.4%)

series12.0ms (0.2%)

rewrite82.0ms (1.6%)

simplify187.0ms (3.7%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.1%)

simplify86.0ms (1.7%)

localize8.0ms (0.1%)

series31.0ms (0.6%)

rewrite56.0ms (1.1%)

simplify93.0ms (1.8%)

localize17.0ms (0.3%)

series25.0ms (0.5%)

rewrite83.0ms (1.6%)

simplify126.0ms (2.5%)

localize13.0ms (0.3%)

series9.0ms (0.2%)

rewrite126.0ms (2.5%)

simplify8.0ms (0.1%)

eval148.0ms (2.9%)

prune516.0ms (10.1%)

localize42.0ms (0.8%)

series157.0ms (3.1%)

rewrite110.0ms (2.2%)

simplify110.0ms (2.2%)

localize32.0ms (0.6%)

series9.0ms (0.2%)

rewrite76.0ms (1.5%)

simplify134.0ms (2.6%)

localize23.0ms (0.5%)

series7.0ms (0.1%)

rewrite82.0ms (1.6%)

simplify95.0ms (1.9%)

localize9.0ms (0.2%)

series15.0ms (0.3%)

rewrite63.0ms (1.2%)

simplify88.0ms (1.7%)

localize17.0ms (0.3%)

series8.0ms (0.1%)

rewrite64.0ms (1.3%)

simplify193.0ms (3.8%)

eval100.0ms (2%)

prune61.0ms (1.2%)

regimes29.0ms (0.6%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (0.3%)

Profiling