Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.9s (20.4%)

Results

1.9s	8256×	body	256	valid
0.0ms	6×	body	256	infinite

Bogosity

preprocess137.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1816×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
970×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
600×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	10	13
3	13	13
4	17	13
5	37	13
6	191	13
7	1981	13
8	5974	13
9	7808	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify135.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1816×	`rational.json-simplify-35`
1348×	`rational.json-simplify-53`
970×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
600×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
2	10	13
3	13	13
4	17	13
5	37	13
6	191	13
7	1981	13
8	5974	13
9	7808	13

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.1b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`bool.json-1`
1562×	`bool.json-2`
1530×	`rational.json-1`
1530×	`rational.json-2`
1530×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	64	13
2	203	13
3	485	13
4	1606	13
5	5239	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 x x)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x x) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 x x) 12)) (.f64 2 (.f64 (.f64 x x) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x x) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x x) 12)) (*.f64 2 (*.f64 (*.f64 x x) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x)))))))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational.json-simplify-19`
1252×	`rational.json-simplify-35`
884×	`rational.json-simplify-40`
776×	`rational.json-simplify-2`
738×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	384
1	91	384
2	235	384
3	1510	312
4	6342	312

Stop Event

1×	node limit

Counts

24 → 15

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x x) (.f64 x (+.f64 x x)))
(+.f64 (.f64 3 (.f64 x x)) 0)
(+.f64 0 (.f64 3 (.f64 x x)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x x))
(-.f64 (.f64 3 (.f64 x x)) 0)
(/.f64 (.f64 3 (.f64 x x)) 1)
(/.f64 (.f64 (.f64 x x) 6) 2)
(/.f64 (.f64 (.f64 x x) 12) 4)
(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (*.f64 x x) 12)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x x) 12)) (.f64 2 (.f64 (.f64 x x) 12))) 16)
(fabs.f64 (.f64 3 (.f64 x x)))

Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x x) (.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (.f64 x x)) 0)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 3 (.f64 x x)))
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x x))
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(-.f64 (.f64 3 (.f64 x x)) 0)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (.f64 3 (.f64 x x)) 1)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (.f64 (.f64 x x) 6) 2)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (.f64 (.f64 x x) 12) 4)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (.f64 2 (.f64 (*.f64 x x) 12)) 8)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x x) 12)) (.f64 2 (.f64 (.f64 x x) 12))) 16)
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))
(fabs.f64 (.f64 3 (.f64 x x)))
(*.f64 x (+.f64 x (+.f64 x x)))
(.f64 3 (.f64 x x))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`bool.json-1`
1394×	`bool.json-2`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	61	13
2	176	13
3	380	13
4	779	13
5	1749	13
6	4355	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 x x)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x x) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) (.f64 2 (.f64 2 (.f64 (.f64 x x) 12)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (.f64 x 3)) (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (.f64 x 3)) (.f64 x (*.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3/2)) (*.f64 x (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x x) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 12))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 12))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x x) 12)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x 3)))))))

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational.json-simplify-51`
1082×	`rational.json-simplify-39`
1030×	`rational.json-simplify-1`
984×	`rational.json-simplify-46`
898×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	312
1	85	312
2	166	312
3	391	312
4	1352	312
5	4592	312
6	6488	312
7	7732	312

Stop Event

1×	node limit

Counts

24 → 15

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x 3)) 0)
(+.f64 0 (.f64 x (.f64 x 3)))
(+.f64 (.f64 x x) (.f64 2 (*.f64 x x)))
(+.f64 (.f64 2 (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))
(-.f64 (.f64 x (.f64 x 3)) 0)
(/.f64 (.f64 x (.f64 x 3)) 1)
(/.f64 (.f64 (.f64 x x) 6) 2)
(/.f64 (.f64 (.f64 x x) 12) 4)
(/.f64 (.f64 2 (.f64 (*.f64 x x) 12)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) (.f64 2 (.f64 2 (.f64 (.f64 x x) 12)))) 32)

Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x 3)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x x) (.f64 2 (*.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 2 (.f64 x x)) (*.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 (.f64 x x) 6) 2)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 (.f64 x x) 12) 4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 2 (.f64 (*.f64 x x) 12)) 8)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) 16)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x x) 12))) (.f64 2 (.f64 2 (.f64 (.f64 x x) 12)))) 32)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

eval4.0ms (0%)

Compiler: Compiled 246 to 143 computations (41.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	3	32

Error

0.0b

Counts

32 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
1.0ms	x	@	0	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
0.0ms	x	@	-inf	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational.json-simplify-19`
824×	`rational.json-simplify-46`
796×	`rational.json-simplify-35`
672×	`rational.json-simplify-40`
606×	`bool.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	116	21
2	415	13
3	1424	13
4	6964	13

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 3 (/.f64 x (fabs.f64 x))) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 3 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 1 (fabs.f64 x)) (*.f64 3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 (*.f64 3 (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 3/2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 1/2 (*.f64 3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 (/.f64 (*.f64 3 (fabs.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 6) (/.f64 (fabs.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 6) (*.f64 1/2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 6) (*.f64 (/.f64 (fabs.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (/.f64 (fabs.f64 x) 2) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (/.f64 (*.f64 x x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (/.f64 1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 (*.f64 x (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 (*.f64 3 (fabs.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 (/.f64 x 1/3) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 x (*.f64 3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 3 (fabs.f64 x)) 2) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) 2) (*.f64 (fabs.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x)))))))

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational.json-simplify-19`
878×	`rational.json-simplify-2`
866×	`rational.json-simplify-35`
850×	`rational.json-simplify-40`
810×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	802
1	228	802
2	449	802
3	1449	802
4	5411	802
5	7414	802

Stop Event

1×	node limit

Counts

58 → 48

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(+.f64 (.f64 3 (.f64 x x)) 0)
(+.f64 0 (.f64 3 (.f64 x x)))
(-.f64 (.f64 3 (.f64 x x)) 0)
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))))
(*.f64 x (/.f64 x 1/3))
(.f64 x (.f64 x 3))
(.f64 x (.f64 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x))) 3))
(.f64 x (.f64 (*.f64 3 (/.f64 x (fabs.f64 x))) (fabs.f64 x)))
(.f64 x (.f64 (.f64 3 (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) 1))
(.f64 x (.f64 (/.f64 x 1/3) 1))
(.f64 (fabs.f64 x) (.f64 3 (fabs.f64 x)))
(.f64 (.f64 3 (fabs.f64 x)) (fabs.f64 x))
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 3 (fabs.f64 x))))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 (.f64 3 (fabs.f64 x)) 2))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 3/2 (fabs.f64 x)))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 1/2 (*.f64 3 (fabs.f64 x))))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) 1))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) 1))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 (*.f64 3 (fabs.f64 x)) 2) 1))
(.f64 (.f64 (fabs.f64 x) 6) (/.f64 (fabs.f64 x) 2))
(.f64 (.f64 (fabs.f64 x) 6) (*.f64 1/2 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) 6) (*.f64 (/.f64 (fabs.f64 x) 2) 1))
(.f64 6 (/.f64 (.f64 x x) 2))
(.f64 6 (.f64 (/.f64 (fabs.f64 x) 2) (fabs.f64 x)))
(.f64 6 (.f64 (/.f64 (*.f64 x x) 2) 1))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (/.f64 1/3 (fabs.f64 x))))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 x (fabs.f64 x)) 3))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 3 (fabs.f64 x)) x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x 1/3) (fabs.f64 x)))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 x (*.f64 3 (fabs.f64 x))))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) 1))
(.f64 (.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) x)
(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
(*.f64 (/.f64 x 1/3) x)
(*.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))
(*.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))
(.f64 (/.f64 (.f64 3 (fabs.f64 x)) 2) (fabs.f64 (+.f64 x x)))
(.f64 (/.f64 (.f64 x x) 2) 6)
(.f64 (/.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) 6))
(neg.f64 (neg.f64 (.f64 3 (.f64 x x))))

Outputs
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(*.f64 3 (pow.f64 (fabs.f64 x) 2))
(+.f64 (.f64 3 (.f64 x x)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 3 (.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 (.f64 3 (.f64 x x)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 x (/.f64 x 1/3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x))) 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 (*.f64 3 (/.f64 x (fabs.f64 x))) (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 (.f64 3 (.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 (/.f64 x 1/3) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 x) (.f64 3 (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (fabs.f64 x)) (fabs.f64 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) (.f64 (/.f64 1 (fabs.f64 x)) (.f64 3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 (.f64 3 (fabs.f64 x)) 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 3/2 (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 1/2 (*.f64 3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 (*.f64 3 (fabs.f64 x)) 2) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (fabs.f64 x) 6) (/.f64 (fabs.f64 x) 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (fabs.f64 x) 6) (*.f64 1/2 (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (fabs.f64 x) 6) (*.f64 (/.f64 (fabs.f64 x) 2) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 6 (/.f64 (.f64 x x) 2))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 6 (.f64 (/.f64 (fabs.f64 x) 2) (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 6 (.f64 (/.f64 (*.f64 x x) 2) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (/.f64 1/3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 x (fabs.f64 x)) 3))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 3 (fabs.f64 x)) x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x 1/3) (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 x (*.f64 3 (fabs.f64 x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) 1))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (.f64 3 (*.f64 (fabs.f64 x) (/.f64 x (fabs.f64 x)))) x)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (/.f64 x 1/3) x)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (/.f64 1/2 (/.f64 1/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (/.f64 1 (/.f64 2/3 (fabs.f64 x))) (fabs.f64 (+.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 (.f64 3 (fabs.f64 x)) 2) (fabs.f64 (+.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 (.f64 x x) 2) 6)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (/.f64 (fabs.f64 x) 2) (.f64 (fabs.f64 x) 6))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(neg.f64 (neg.f64 (.f64 3 (.f64 x x))))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

eval7.0ms (0.1%)

Compiler: Compiled 444 to 216 computations (51.4% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	46	5	51

Error

0.0b

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
▶	0.2b	(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
▶	0.2b	(*.f64 (/.f64 x 1/3) x)
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 40 to 26 computations (35% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x 1/3) x)
✓	0.3b	(/.f64 x 1/3)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`bool.json-1`
1162×	`bool.json-2`
1082×	`rational.json-1`
1082×	`rational.json-2`
1082×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	64	20
2	201	20
3	437	20
4	902	20
5	1983	20
6	4243	20
7	7727	20

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(/.f64 x 1/3)
(*.f64 (/.f64 x 1/3) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3/2) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 12) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/8 (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x 3) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x 3) (*.f64 x 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3/2)) (*.f64 x (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 12 (*.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 24 (*.f64 x x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 24 (*.f64 x x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x x)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x x)))) (*.f64 2 (*.f64 2 (*.f64 24 (*.f64 x x))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (*.f64 x 3)) (*.f64 x (*.f64 x 3)))))))

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-54`
1218×	`rational.json-simplify-1`
1144×	`rational.json-simplify-2`
944×	`rational.json-simplify-46`
754×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	591
1	146	591
2	287	591
3	823	591
4	2245	591
5	6667	591

Stop Event

1×	node limit

Counts

63 → 42

Calls

Call 1

Inputs
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 x (+.f64 x x))
(+.f64 (*.f64 x 3) 0)
(+.f64 0 (*.f64 x 3))
(+.f64 (+.f64 x x) x)
(+.f64 (.f64 x 3/2) (.f64 x 3/2))
(-.f64 (*.f64 x 3) 0)
(*.f64 x 3)
(.f64 (.f64 x 3) 1)
(.f64 1 (.f64 x 3))
(*.f64 (+.f64 x x) 3/2)
(.f64 2 (.f64 x 3/2))
(.f64 (.f64 x 6) 1/2)
(.f64 (.f64 x 4) 3/4)
(*.f64 3 x)
(*.f64 4 (/.f64 x 4/3))
(.f64 (.f64 x 12) 1/4)
(.f64 (.f64 x 8) 3/8)
(.f64 1/2 (.f64 x 6))
(*.f64 3/2 (+.f64 x x))
(.f64 6 (.f64 x 1/2))
(.f64 (.f64 x 3/2) 2)
(.f64 3/4 (.f64 x 4))
(.f64 (.f64 x 1/2) 6)
(.f64 1/4 (.f64 x 12))
(.f64 3/8 (.f64 x 8))
(*.f64 (/.f64 x 4/3) 4)
(+.f64 (.f64 x (.f64 x 3)) 0)
(+.f64 0 (.f64 x (.f64 x 3)))
(+.f64 (.f64 x x) (.f64 x (+.f64 x x)))
(+.f64 (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x x))
(-.f64 (.f64 x (.f64 x 3)) 0)
(/.f64 (.f64 x (.f64 x 3)) 1)
(/.f64 (.f64 x (.f64 x 6)) 2)
(/.f64 (.f64 12 (.f64 x x)) 4)
(/.f64 (.f64 24 (.f64 x x)) 8)
(/.f64 (.f64 2 (.f64 24 (*.f64 x x))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x x)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x x)))) (.f64 2 (.f64 2 (.f64 24 (.f64 x x))))) 64)

Outputs
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 x (+.f64 x x))
(*.f64 3 x)
(+.f64 (*.f64 x 3) 0)
(*.f64 3 x)
(+.f64 0 (*.f64 x 3))
(*.f64 3 x)
(+.f64 (+.f64 x x) x)
(*.f64 3 x)
(+.f64 (.f64 x 3/2) (.f64 x 3/2))
(*.f64 3 x)
(-.f64 (*.f64 x 3) 0)
(*.f64 3 x)
(*.f64 x 3)
(*.f64 3 x)
(.f64 (.f64 x 3) 1)
(*.f64 3 x)
(.f64 1 (.f64 x 3))
(*.f64 3 x)
(*.f64 (+.f64 x x) 3/2)
(*.f64 3 x)
(.f64 2 (.f64 x 3/2))
(*.f64 3 x)
(.f64 (.f64 x 6) 1/2)
(*.f64 3 x)
(.f64 (.f64 x 4) 3/4)
(*.f64 3 x)
(*.f64 3 x)
(*.f64 4 (/.f64 x 4/3))
(*.f64 3 x)
(.f64 (.f64 x 12) 1/4)
(*.f64 3 x)
(.f64 (.f64 x 8) 3/8)
(*.f64 3 x)
(.f64 1/2 (.f64 x 6))
(*.f64 3 x)
(*.f64 3/2 (+.f64 x x))
(*.f64 3 x)
(.f64 6 (.f64 x 1/2))
(*.f64 3 x)
(.f64 (.f64 x 3/2) 2)
(*.f64 3 x)
(.f64 3/4 (.f64 x 4))
(*.f64 3 x)
(.f64 (.f64 x 1/2) 6)
(*.f64 3 x)
(.f64 1/4 (.f64 x 12))
(*.f64 3 x)
(.f64 3/8 (.f64 x 8))
(*.f64 3 x)
(*.f64 (/.f64 x 4/3) 4)
(*.f64 3 x)
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 0 (.f64 x (.f64 x 3)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x x) (.f64 x (+.f64 x x)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(+.f64 (.f64 x (+.f64 x x)) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(-.f64 (.f64 x (.f64 x 3)) 0)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 3)) 1)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 6)) 2)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 12 (.f64 x x)) 4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 24 (.f64 x x)) 8)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 2 (.f64 24 (*.f64 x x))) 16)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x x)))) 32)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 24 (.f64 x x)))) (.f64 2 (.f64 2 (.f64 24 (.f64 x x))))) 64)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 1/3 (fabs.f64 x)))
✓	0.3b	(/.f64 1/3 (fabs.f64 x))

Compiler

Compiled 30 to 13 computations (56.7% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (/.f64 1/3 (fabs.f64 x)))
1.0ms	x	@	inf	(/.f64 1/3 (fabs.f64 x))
0.0ms	x	@	inf	(/.f64 x (/.f64 1/3 (fabs.f64 x)))
0.0ms	x	@	0	(/.f64 x (/.f64 1/3 (fabs.f64 x)))
0.0ms	x	@	-inf	(/.f64 1/3 (fabs.f64 x))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational.json-simplify-49`
726×	`rational.json-simplify-35`
574×	`bool.json-1`
574×	`bool.json-2`
570×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	89	28
2	328	28
3	1252	28
4	6391	28

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(/.f64 1/3 (fabs.f64 x))
(/.f64 x (/.f64 1/3 (fabs.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/3 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (fabs.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 (*.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (/.f64 1 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 (/.f64 1 x) (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (*.f64 (fabs.f64 x) (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 2 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (*.f64 (*.f64 x x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 x (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (fabs.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fabs.f64 x) (*.f64 (*.f64 x x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/3 (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (fabs.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 (fabs.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (*.f64 x (*.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (*.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 (*.f64 x x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (fabs.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (*.f64 x 3)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1/3 (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/3 (fabs.f64 x)) (/.f64 1/3 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/3 (fabs.f64 x)) (/.f64 1/3 (fabs.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fabs.f64 x) (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fabs.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fabs.f64 x) (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fabs.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (/.f64 2/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 2 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 (/.f64 2 (/.f64 2/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 x (/.f64 1/3 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fabs.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (*.f64 x 3) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x 3) (fabs.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (fabs.f64 (/.f64 1 x)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 (/.f64 1/2 (/.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (*.f64 (/.f64 1 (/.f64 2/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 2 (/.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (*.f64 (fabs.f64 x) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (*.f64 (fabs.f64 x) 3) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (*.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 x (*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (/.f64 1/3 (fabs.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fabs.f64 x) (*.f64 (/.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fabs.f64 x) (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (/.f64 2/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (fabs.f64 x) (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (fabs.f64 x) 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (/.f64 1/3 (fabs.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 x 4)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 x 4)) (/.f64 1 (*.f64 2 (/.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 x 4)) (/.f64 1 (/.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (*.f64 x 3)) (fabs.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 1/3 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (neg.f64 (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 x)) (*.f64 (*.f64 x x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 1 x)) (/.f64 1 (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (/.f64 1/3 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (/.f64 -1/3 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 x x) (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 x (/.f64 1/3 (*.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 (/.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (*.f64 x x) (/.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (fabs.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (fabs.f64 x) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (*.f64 x x) (/.f64 1/3 (*.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (fabs.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/3 x)) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2/3 x)) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2/3 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fabs.f64 x) 3) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 (fabs.f64 x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (fabs.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (fabs.f64 x) (*.f64 x 3)) (*.f64 (fabs.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (fabs.f64 x) (*.f64 x 3)) (*.f64 (fabs.f64 x) (*.f64 x 3)))))))

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational.json-simplify-35`
1408×	`rational.json-simplify-61`
1402×	`rational.json-simplify-44`
1398×	`rational.json-simplify-49`
1256×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	2174
1	624	2102
2	1711	2076
3	7375	2076

Stop Event

1×	node limit

Counts

116 → 131

Calls

Call 1

Inputs
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(+.f64 (/.f64 1/3 (fabs.f64 x)) 0)
(+.f64 0 (/.f64 1/3 (fabs.f64 x)))
(-.f64 (/.f64 1/3 (fabs.f64 x)) 0)
(-.f64 0 (neg.f64 (/.f64 1/3 (fabs.f64 x))))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(.f64 x (/.f64 1/3 (.f64 x (fabs.f64 x))))
(.f64 x (/.f64 x (.f64 (fabs.f64 x) (.f64 x (.f64 x 3)))))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 x) (.f64 x 3)))
(.f64 (fabs.f64 x) (/.f64 1/3 (.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (/.f64 (/.f64 1 x) (*.f64 x 3)) 1))
(*.f64 (/.f64 1/3 (fabs.f64 x)) 1)
(*.f64 1 (/.f64 1/3 (fabs.f64 x)))
(.f64 (.f64 x x) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x (*.f64 x 3)))))
(.f64 (.f64 x x) (/.f64 2 (.f64 (.f64 x x) (*.f64 (fabs.f64 x) 6))))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (.f64 (*.f64 x x) 6)))
(.f64 (+.f64 x x) (/.f64 x (.f64 (.f64 x x) (.f64 (fabs.f64 x) 6))))
(.f64 (.f64 (/.f64 1/3 (fabs.f64 x)) 2) 1/2)
(*.f64 (/.f64 1/3 x) (/.f64 x (fabs.f64 x)))
(.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6)))
(*.f64 2 (/.f64 (/.f64 1/3 (fabs.f64 x)) 2))
(.f64 (.f64 (/.f64 1/3 (fabs.f64 x)) 4) 1/4)
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (.f64 (.f64 x x) (*.f64 (fabs.f64 x) 6))))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1/3 x))
(*.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))) -1)
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (.f64 x (.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (.f64 (*.f64 x (neg.f64 x)) 3)))
(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)
(.f64 -1 (/.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) 3))
(.f64 (/.f64 1 x) (/.f64 x (.f64 (fabs.f64 x) 3)))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (.f64 (.f64 x x) 6)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) 3))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (.f64 (fabs.f64 x) 3)))
(.f64 (/.f64 (/.f64 1 x) (.f64 x 3)) (fabs.f64 x))
(.f64 1/2 (.f64 (/.f64 1/3 (fabs.f64 x)) 2))
(neg.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))))
(+.f64 (.f64 (fabs.f64 x) (.f64 x 3)) 0)
(+.f64 0 (.f64 (fabs.f64 x) (.f64 x 3)))
(-.f64 (.f64 (fabs.f64 x) (.f64 x 3)) 0)
(.f64 x (.f64 (fabs.f64 x) 3))
(*.f64 x (/.f64 2 (/.f64 2/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 x 3))
(*.f64 (fabs.f64 x) (/.f64 2 (/.f64 2/3 x)))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 (/.f64 2/3 x)) 1))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (/.f64 1/3 (fabs.f64 x)))))
(.f64 (.f64 (fabs.f64 x) (*.f64 x 3)) 1)
(.f64 1 (.f64 (fabs.f64 x) (*.f64 x 3)))
(.f64 (.f64 x x) (/.f64 (*.f64 x 3) (fabs.f64 x)))
(.f64 (.f64 x x) (.f64 (/.f64 (.f64 x 3) (fabs.f64 x)) 1))
(.f64 (.f64 x x) (.f64 (fabs.f64 (/.f64 1 x)) (.f64 x 3)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 x)))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1/2 (/.f64 1/3 x)) 1))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1 (/.f64 2/3 x)) 1))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 2 (/.f64 4/3 x)))
(.f64 (+.f64 x x) (/.f64 (.f64 (fabs.f64 x) 3) 2))
(.f64 (+.f64 x x) (.f64 (/.f64 (*.f64 (fabs.f64 x) 3) 2) 1))
(.f64 (+.f64 x x) (.f64 1/2 (*.f64 (fabs.f64 x) 3)))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))
(.f64 (+.f64 x x) (/.f64 x (.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))
(.f64 2 (/.f64 x (.f64 (/.f64 1/3 (fabs.f64 x)) 2)))
(.f64 2 (/.f64 (fabs.f64 x) (.f64 (/.f64 1/3 x) 2)))
(*.f64 2 (/.f64 (fabs.f64 x) (/.f64 2/3 x)))
(*.f64 2 (/.f64 x (/.f64 2/3 (fabs.f64 x))))
(.f64 2 (/.f64 (.f64 (fabs.f64 x) (*.f64 x 3)) 2))
(.f64 (.f64 x (*.f64 (fabs.f64 x) 6)) 1/2)
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 1/3 (fabs.f64 x)) 4)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (.f64 2 (.f64 (/.f64 1/3 x) 2))))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (*.f64 2 (/.f64 2/3 x))))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (/.f64 4/3 x)))
(.f64 (.f64 (.f64 x x) (.f64 x 3)) (fabs.f64 (/.f64 1 x)))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 x (*.f64 x 3)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 1/3 (fabs.f64 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 (fabs.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1/3 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (neg.f64 (/.f64 1/3 x))))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1 (.f64 x 3))))
(.f64 (.f64 x 3) (fabs.f64 x))
(.f64 (fabs.f64 (/.f64 1 x)) (.f64 (.f64 x x) (.f64 x 3)))
(.f64 (fabs.f64 (/.f64 1 x)) (/.f64 1 (/.f64 1 (.f64 (.f64 x x) (.f64 x 3)))))
(.f64 (.f64 (fabs.f64 x) 3) x)
(.f64 (.f64 x (*.f64 x 3)) (/.f64 x (fabs.f64 x)))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 1/3 (fabs.f64 x)))))
(*.f64 -1 (/.f64 x (/.f64 -1/3 (fabs.f64 x))))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (.f64 (.f64 x x) (.f64 x 3)))))
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1/3 (.f64 x (fabs.f64 x)))))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 (/.f64 1/3 x) 2)))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x)))
(.f64 3 (.f64 x (fabs.f64 x)))
(.f64 3 (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x))))
(*.f64 3 (/.f64 (fabs.f64 x) (/.f64 1 x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) (/.f64 1 (.f64 (.f64 x x) (*.f64 x 3)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (/.f64 1/3 (.f64 x (fabs.f64 x)))))
(.f64 (/.f64 (.f64 x 3) (fabs.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1/2 (/.f64 1/3 x)) (fabs.f64 (+.f64 x x)))
(*.f64 (/.f64 1 (/.f64 2/3 x)) (fabs.f64 (+.f64 x x)))
(*.f64 (/.f64 2 (/.f64 2/3 x)) (fabs.f64 x))
(.f64 (/.f64 (.f64 (fabs.f64 x) 3) 2) (+.f64 x x))
(.f64 1/2 (.f64 x (*.f64 (fabs.f64 x) 6)))
(neg.f64 (neg.f64 (.f64 (fabs.f64 x) (.f64 x 3))))

Outputs
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 (fabs.f64 x) (.f64 3 x))
(+.f64 (/.f64 1/3 (fabs.f64 x)) 0)
(/.f64 1/3 (fabs.f64 x))
(+.f64 0 (/.f64 1/3 (fabs.f64 x)))
(/.f64 1/3 (fabs.f64 x))
(-.f64 (/.f64 1/3 (fabs.f64 x)) 0)
(/.f64 1/3 (fabs.f64 x))
(-.f64 0 (neg.f64 (/.f64 1/3 (fabs.f64 x))))
(/.f64 1/3 (fabs.f64 x))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (/.f64 1 (fabs.f64 x)))
(.f64 x (/.f64 1/3 (.f64 x (fabs.f64 x))))
(/.f64 1/3 (fabs.f64 x))
(.f64 x (/.f64 x (.f64 (fabs.f64 x) (.f64 x (.f64 x 3)))))
(/.f64 1/3 (fabs.f64 x))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 x) (.f64 x 3)))
(/.f64 1/3 (fabs.f64 x))
(.f64 (fabs.f64 x) (/.f64 1/3 (.f64 x x)))
(/.f64 1/3 (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 (/.f64 (/.f64 1 x) (*.f64 x 3)) 1))
(/.f64 1/3 (fabs.f64 x))
(*.f64 (/.f64 1/3 (fabs.f64 x)) 1)
(/.f64 1/3 (fabs.f64 x))
(*.f64 1 (/.f64 1/3 (fabs.f64 x)))
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 x x) (/.f64 1 (.f64 (fabs.f64 x) (.f64 x (*.f64 x 3)))))
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 x x) (/.f64 2 (.f64 (.f64 x x) (*.f64 (fabs.f64 x) 6))))
(/.f64 1/3 (fabs.f64 x))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (.f64 (*.f64 x x) 6)))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/6 (.f64 x x)))
(.f64 (+.f64 x x) (/.f64 x (.f64 (.f64 x x) (.f64 (fabs.f64 x) 6))))
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 (/.f64 1/3 (fabs.f64 x)) 2) 1/2)
(/.f64 1/3 (fabs.f64 x))
(*.f64 (/.f64 1/3 x) (/.f64 x (fabs.f64 x)))
(/.f64 1/3 (fabs.f64 x))
(.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6)))
(/.f64 1/3 (fabs.f64 x))
(*.f64 2 (/.f64 (/.f64 1/3 (fabs.f64 x)) 2))
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 (/.f64 1/3 (fabs.f64 x)) 4) 1/4)
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (.f64 (.f64 x x) (*.f64 (fabs.f64 x) 6))))
(/.f64 1/3 (fabs.f64 x))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 1/3 x))
(/.f64 1/3 (fabs.f64 x))
(*.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))) -1)
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (.f64 x (.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (.f64 x (.f64 (*.f64 3 x) (neg.f64 (fabs.f64 x))))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 (/.f64 1/3 (*.f64 x x)) (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 x) (/.f64 (/.f64 x x) (/.f64 (fabs.f64 x) (/.f64 -1/3 x))))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (.f64 (*.f64 x (neg.f64 x)) 3)))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (.f64 3 (*.f64 x (neg.f64 x)))))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1/3 (.f64 x (neg.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 (/.f64 -1/3 x) x))
(*.f64 (fabs.f64 x) (neg.f64 (/.f64 (/.f64 -1/3 x) x)))
(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (/.f64 1 (fabs.f64 x)))
(.f64 -1 (/.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x 3) (neg.f64 (fabs.f64 x))))))
(/.f64 1/3 (fabs.f64 x))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) 3))
(/.f64 1/3 (fabs.f64 x))
(.f64 (/.f64 1 x) (/.f64 x (.f64 (fabs.f64 x) 3)))
(/.f64 1/3 (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (.f64 (.f64 x x) 6)))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (/.f64 x (.f64 x (.f64 x 6)))))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (.f64 x (/.f64 1/6 (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) 3))
(/.f64 1/3 (fabs.f64 x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (.f64 (fabs.f64 x) 3)))
(/.f64 1/3 (fabs.f64 x))
(.f64 (/.f64 (/.f64 1 x) (.f64 x 3)) (fabs.f64 x))
(/.f64 1/3 (fabs.f64 x))
(.f64 1/2 (.f64 (/.f64 1/3 (fabs.f64 x)) 2))
(/.f64 1/3 (fabs.f64 x))
(neg.f64 (neg.f64 (/.f64 1/3 (fabs.f64 x))))
(/.f64 1/3 (fabs.f64 x))
(+.f64 (.f64 (fabs.f64 x) (.f64 x 3)) 0)
(.f64 (fabs.f64 x) (.f64 3 x))
(+.f64 0 (.f64 (fabs.f64 x) (.f64 x 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(-.f64 (.f64 (fabs.f64 x) (.f64 x 3)) 0)
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 x (.f64 (fabs.f64 x) 3))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 x (/.f64 2 (/.f64 2/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (fabs.f64 x) (/.f64 2 (/.f64 2/3 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 (/.f64 2/3 x)) 1))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (.f64 x (/.f64 1/3 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 (fabs.f64 x) (*.f64 x 3)) 1)
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 1 (.f64 (fabs.f64 x) (*.f64 x 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x x) (/.f64 (*.f64 x 3) (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x x) (.f64 (/.f64 (.f64 x 3) (fabs.f64 x)) 1))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x x) (.f64 (fabs.f64 (/.f64 1 x)) (.f64 x 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/2 (/.f64 1/3 x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1 (/.f64 2/3 x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1/2 (/.f64 1/3 x)) 1))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 (/.f64 1 (/.f64 2/3 x)) 1))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 2 (/.f64 4/3 x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(.f64 (+.f64 x x) (/.f64 (.f64 (fabs.f64 x) 3) 2))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (+.f64 x x) (.f64 (/.f64 (*.f64 (fabs.f64 x) 3) 2) 1))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (+.f64 x x) (.f64 1/2 (*.f64 (fabs.f64 x) 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (+.f64 x x) (/.f64 1 (/.f64 2/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (+.f64 x x) (/.f64 x (.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))
(.f64 x (.f64 (+.f64 x x) (/.f64 x (*.f64 1/3 (fabs.f64 (+.f64 x x))))))
(.f64 2 (/.f64 x (.f64 (/.f64 1/3 (fabs.f64 x)) 2)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 2 (/.f64 (fabs.f64 x) (.f64 (/.f64 1/3 x) 2)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 2 (/.f64 (fabs.f64 x) (/.f64 2/3 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 2 (/.f64 x (/.f64 2/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 2 (/.f64 (.f64 (fabs.f64 x) (*.f64 x 3)) 2))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x (*.f64 (fabs.f64 x) 6)) 1/2)
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (/.f64 1/3 (fabs.f64 x)) 4)))
(.f64 x (.f64 4 (/.f64 (/.f64 (fabs.f64 x) 1/3) 4)))
(.f64 x (.f64 4 (*.f64 (fabs.f64 x) 3/4)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 1 (*.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))
(.f64 (+.f64 x x) (/.f64 x (.f64 (fabs.f64 (+.f64 x x)) (/.f64 1/3 x))))
(.f64 x (.f64 (+.f64 x x) (/.f64 x (*.f64 1/3 (fabs.f64 (+.f64 x x))))))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (.f64 2 (.f64 (/.f64 1/3 x) 2))))
(.f64 (.f64 (fabs.f64 x) 4) (/.f64 1 (*.f64 (/.f64 1/3 x) 4)))
(.f64 (fabs.f64 x) (.f64 4 (/.f64 x 4/3)))
(.f64 (fabs.f64 x) (.f64 4 (*.f64 x 3/4)))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (*.f64 2 (/.f64 2/3 x))))
(.f64 (.f64 (fabs.f64 x) 4) (/.f64 1 (*.f64 (/.f64 1/3 x) 4)))
(.f64 (fabs.f64 x) (.f64 4 (/.f64 x 4/3)))
(.f64 (fabs.f64 x) (.f64 4 (*.f64 x 3/4)))
(.f64 (fabs.f64 (.f64 x 4)) (/.f64 1 (/.f64 4/3 x)))
(.f64 (.f64 (fabs.f64 x) 4) (/.f64 1 (*.f64 (/.f64 1/3 x) 4)))
(.f64 (fabs.f64 x) (.f64 4 (/.f64 x 4/3)))
(.f64 (fabs.f64 x) (.f64 4 (*.f64 x 3/4)))
(.f64 (.f64 (.f64 x x) (.f64 x 3)) (fabs.f64 (/.f64 1 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (/.f64 x (fabs.f64 x)) (.f64 x (*.f64 x 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 1/3 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 1 (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1/3 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (neg.f64 (/.f64 1/3 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (neg.f64 (fabs.f64 x)) (/.f64 1 (/.f64 -1 (.f64 x 3))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x 3) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (fabs.f64 (/.f64 1 x)) (.f64 (.f64 x x) (.f64 x 3)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (fabs.f64 (/.f64 1 x)) (/.f64 1 (/.f64 1 (.f64 (.f64 x x) (.f64 x 3)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 (fabs.f64 x) 3) x)
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 x (*.f64 x 3)) (/.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 -1 (/.f64 x (neg.f64 (/.f64 1/3 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 -1 (/.f64 x (/.f64 -1/3 (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 -1 (/.f64 (.f64 x x) (*.f64 (/.f64 1/3 x) (neg.f64 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (.f64 (.f64 x x) (.f64 x 3)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1/3 (.f64 x (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 (/.f64 1/3 x) 2)))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 2 (/.f64 1/3 x))))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (/.f64 (/.f64 x 2) (/.f64 1/3 x))))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (.f64 x (.f64 x 3/2))))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x)))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (*.f64 2 (/.f64 1/3 x))))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (/.f64 (/.f64 x 2) (/.f64 1/3 x))))
(.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (.f64 x (.f64 x 3/2))))
(.f64 3 (.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 3 (/.f64 (.f64 x x) (/.f64 x (fabs.f64 x))))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 3 (/.f64 (fabs.f64 x) (/.f64 1 x)))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) (/.f64 1 (.f64 (.f64 x x) (*.f64 x 3)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x (.f64 3 (*.f64 x x))) (fabs.f64 (/.f64 1 x))))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 1/3 x) (fabs.f64 x)) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 (fabs.f64 x) (.f64 3 x))) (/.f64 1 (.f64 x x))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x x) (/.f64 1/3 (.f64 x (fabs.f64 x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (.f64 x (.f64 3 (*.f64 x x))) (fabs.f64 (/.f64 1 x))))
(/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 (/.f64 1/3 x) (fabs.f64 x)) (.f64 x x)))
(.f64 x (.f64 (.f64 x (.f64 (fabs.f64 x) (.f64 3 x))) (/.f64 1 (.f64 x x))))
(.f64 (/.f64 (.f64 x 3) (fabs.f64 x)) (*.f64 x x))
(.f64 (fabs.f64 x) (.f64 3 x))
(*.f64 (/.f64 1/2 (/.f64 1/3 x)) (fabs.f64 (+.f64 x x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(*.f64 (/.f64 1 (/.f64 2/3 x)) (fabs.f64 (+.f64 x x)))
(*.f64 (fabs.f64 (+.f64 x x)) (/.f64 x 2/3))
(.f64 (fabs.f64 (+.f64 x x)) (.f64 x 3/2))
(*.f64 (/.f64 2 (/.f64 2/3 x)) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 (/.f64 (.f64 (fabs.f64 x) 3) 2) (+.f64 x x))
(.f64 (fabs.f64 x) (.f64 3 x))
(.f64 1/2 (.f64 x (*.f64 (fabs.f64 x) 6)))
(.f64 (fabs.f64 x) (.f64 3 x))
(neg.f64 (neg.f64 (.f64 (fabs.f64 x) (.f64 x 3))))
(.f64 (fabs.f64 x) (.f64 3 x))

eval351.0ms (3.8%)

Compiler: Compiled 2421 to 1119 computations (53.8% saved)

prune24.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	170	8	178

Error

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	0.2b	(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
▶	0.2b	(.f64 (/.f64 x (.f64 (fabs.f64 (/.f64 1 x)) 1/3)) (/.f64 x (fabs.f64 x)))
▶	0.2b	(.f64 (/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6)))) (/.f64 x (fabs.f64 x)))
✓	0.2b	(*.f64 (/.f64 x 1/3) x)
▶	0.2b	(.f64 (.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x))) (/.f64 x (fabs.f64 x)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 90 to 58 computations (35.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x)))
✓	0.1b	(/.f64 x (/.f64 2/3 x))
✓	0.2b	(*.f64 (fabs.f64 x) (/.f64 2 x))
✓	0.3b	(/.f64 2/3 x)

Compiler

Compiled 56 to 30 computations (46.4% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 (fabs.f64 x) (/.f64 2 x))
0.0ms	x	@	0	(*.f64 (fabs.f64 x) (/.f64 2 x))
0.0ms	x	@	inf	(*.f64 (fabs.f64 x) (/.f64 2 x))
0.0ms	x	@	0	(/.f64 2/3 x)
0.0ms	x	@	inf	(/.f64 x (/.f64 2/3 x))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`bool.json-1`
1874×	`bool.json-2`
1634×	`bool.json-3`
726×	`rational.json-simplify-61`
548×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	127	72
2	388	72
3	1212	66
4	5570	66

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(/.f64 2/3 x)
(*.f64 (fabs.f64 x) (/.f64 2 x))
(/.f64 x (/.f64 2/3 x))
(.f64 (.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2/3 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 2/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 2/3 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2/3 x) (/.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2/3 x) (/.f64 2/3 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (/.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 (.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 x) (/.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 x) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fabs.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x 1/2) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (fabs.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x x) (/.f64 (fabs.f64 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 x (/.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (.f64 (fabs.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 2 x)) (/.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) (.f64 2 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) 2) (/.f64 2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x x)) (/.f64 (.f64 (fabs.f64 x) 2) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fabs.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fabs.f64 x)) (/.f64 (.f64 x (neg.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fabs.f64 x)) (-.f64 0 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fabs.f64 x)) (/.f64 -1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (/.f64 1 (.f64 x x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (fabs.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) 4) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (fabs.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 x) (/.f64 x (fabs.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (fabs.f64 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (.f64 x x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 (fabs.f64 x) 2))) (/.f64 (.f64 2 (.f64 x x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (neg.f64 (fabs.f64 x)))) (/.f64 (.f64 x (neg.f64 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4) (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (.f64 x x)) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (/.f64 x (fabs.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 x) (fabs.f64 x)) (/.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fabs.f64 x) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 1 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (/.f64 2 (fabs.f64 x))) (.f64 x (/.f64 2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (/.f64 2 (fabs.f64 x))) (*.f64 x (/.f64 2 (fabs.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (/.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 x (.f64 x 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 (.f64 x 3/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 2 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1 (.f64 (/.f64 2/3 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1 (/.f64 8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 1 (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (neg.f64 (/.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 x (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 3/4) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 x (.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3/2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (.f64 x 3/2)) (.f64 x (.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (.f64 x 3/2)) (.f64 x (*.f64 x 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 2/3 x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (/.f64 4/3 x) x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (/.f64 2 (fabs.f64 x))) (/.f64 2/3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 3/2)) (/.f64 1 (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 2/3 (.f64 x x)) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x x) (/.f64 2/3 (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (/.f64 4/3 x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 3)) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 4) (/.f64 (/.f64 8/3 x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) (.f64 x (.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) (.f64 2 (/.f64 2 x))) (/.f64 (/.f64 4/3 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x x)) (/.f64 4/3 (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (.f64 x 3)) x) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (fabs.f64 x) (.f64 x 3/2))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 (/.f64 2/3 x)) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (/.f64 -2/3 x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 x)) (/.f64 -2/3 (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 3/2) (/.f64 (/.f64 1 x) (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 4)) (/.f64 8/3 (.f64 x (/.f64 2 (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (.f64 x 3/2))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4) (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (/.f64 2 (fabs.f64 x)))) (-.f64 0 (/.f64 2/3 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)))))))

simplify117.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational.json-simplify-43`
958×	`rational.json-simplify-35`
860×	`rational.json-simplify-2`
712×	`rational.json-simplify-61`
600×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	2316
1	859	2274
2	3062	2254
3	6255	2254

Stop Event

1×	node limit

Counts

142 → 123

Calls

Call 1

Inputs
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 2 (/.f64 (fabs.f64 x) x))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(*.f64 3/2 (pow.f64 x 2))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(.f64 3 (.f64 (fabs.f64 x) x))
(+.f64 (/.f64 2/3 x) 0)
(+.f64 0 (/.f64 2/3 x))
(-.f64 (/.f64 2/3 x) 0)
(*.f64 (/.f64 2/3 x) 1)
(*.f64 2 (/.f64 (/.f64 2/3 x) 2))
(*.f64 1 (/.f64 2/3 x))
(*.f64 (/.f64 4/3 x) 1/2)
(.f64 (.f64 (/.f64 2/3 x) 4) 1/4)
(*.f64 1/2 (/.f64 4/3 x))
(+.f64 (*.f64 x (/.f64 2 (fabs.f64 x))) 0)
(+.f64 0 (*.f64 x (/.f64 2 (fabs.f64 x))))
(-.f64 (*.f64 x (/.f64 2 (fabs.f64 x))) 0)
(/.f64 x (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 2 x)))
(/.f64 (fabs.f64 x) (*.f64 x 1/2))
(/.f64 (fabs.f64 x) (/.f64 (*.f64 x x) (+.f64 x x)))
(/.f64 (fabs.f64 x) (/.f64 1 (/.f64 2 x)))
(/.f64 2 (/.f64 x (fabs.f64 x)))
(/.f64 (/.f64 2 x) (/.f64 1 (fabs.f64 x)))
(/.f64 (*.f64 x (/.f64 2 (fabs.f64 x))) 1)
(/.f64 1 (/.f64 (fabs.f64 x) (+.f64 x x)))
(/.f64 1 (/.f64 x (*.f64 (fabs.f64 x) 2)))
(/.f64 1 (/.f64 (*.f64 x 1/2) (fabs.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (fabs.f64 x)) (/.f64 2 x)))
(/.f64 (*.f64 x x) (/.f64 (fabs.f64 x) (/.f64 2 x)))
(/.f64 (+.f64 x x) (fabs.f64 x))
(/.f64 4 (*.f64 x (/.f64 2 (fabs.f64 x))))
(/.f64 (.f64 x 4) (.f64 (fabs.f64 x) 2))
(/.f64 (*.f64 2 (/.f64 2 x)) (/.f64 2 (fabs.f64 x)))
(/.f64 (.f64 (fabs.f64 x) (.f64 2 (/.f64 2 x))) 2)
(/.f64 (*.f64 (fabs.f64 x) 2) x)
(/.f64 (*.f64 (fabs.f64 x) 2) (/.f64 2 (/.f64 2 x)))
(/.f64 (.f64 2 (.f64 x x)) (/.f64 (*.f64 (fabs.f64 x) 2) (/.f64 2 x)))
(/.f64 (/.f64 x (fabs.f64 x)) 1/2)
(/.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (+.f64 x x)))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (/.f64 2 x)))
(/.f64 (neg.f64 (fabs.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (+.f64 x x)))
(/.f64 (neg.f64 (fabs.f64 x)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (fabs.f64 x)) (/.f64 -1 (/.f64 2 x)))
(/.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (+.f64 x x)))
(/.f64 (/.f64 1 (fabs.f64 x)) (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 x)))
(/.f64 -1 (/.f64 (neg.f64 (fabs.f64 x)) (+.f64 x x)))
(/.f64 (*.f64 (fabs.f64 x) 4) (+.f64 x x))
(/.f64 (*.f64 2 (neg.f64 (fabs.f64 x))) (neg.f64 x))
(/.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4) 4)
(/.f64 (*.f64 (/.f64 2 x) (/.f64 x (fabs.f64 x))) (/.f64 1 x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 1 (fabs.f64 x)) (+.f64 x x)))
(/.f64 (/.f64 2 (fabs.f64 x)) (/.f64 1 x))
(/.f64 (.f64 (fabs.f64 x) (.f64 x x)) (/.f64 (*.f64 x x) (/.f64 2 x)))
(/.f64 (.f64 x (.f64 x (.f64 (fabs.f64 x) 2))) (/.f64 (.f64 2 (*.f64 x x)) (/.f64 2 x)))
(/.f64 (.f64 x (.f64 x (neg.f64 (fabs.f64 x)))) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (fabs.f64 x)))
(/.f64 (+.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4) (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) 4)) 8)
(/.f64 (/.f64 (+.f64 x x) (*.f64 x x)) (/.f64 1 (fabs.f64 x)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 x (fabs.f64 x))) x)
(/.f64 (/.f64 (/.f64 2 x) (fabs.f64 x)) (/.f64 1 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 x) 2)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 2 x)) (-.f64 0 (/.f64 1 (fabs.f64 x))))
(+.f64 (.f64 x (.f64 x 3/2)) 0)
(+.f64 0 (.f64 x (.f64 x 3/2)))
(-.f64 (.f64 x (.f64 x 3/2)) 0)
(.f64 x (.f64 x 3/2))
(*.f64 2 (/.f64 x (/.f64 4/3 x)))
(.f64 2 (/.f64 (.f64 x (*.f64 x 3/2)) 2))
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(.f64 (.f64 x 4) (/.f64 1 (/.f64 8/3 x)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (/.f64 2/3 x))))
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Outputs
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(/.f64 x (/.f64 (/.f64 2/3 x) (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 2 (/.f64 (/.f64 (/.f64 4/3 x) x) (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (/.f64 2 (fabs.f64 x))) (/.f64 2/3 (.f64 x x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (.f64 x 3/2)) (/.f64 1 (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (*.f64 x 3)) x)) 1)
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 1 (/.f64 (/.f64 2/3 (.f64 x x)) (.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x x) (/.f64 2/3 (.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (+.f64 x x) (/.f64 (/.f64 4/3 x) (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (.f64 x 3)) (/.f64 x (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x 4) (/.f64 (/.f64 8/3 x) (.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 (.f64 x (/.f64 2 (fabs.f64 x))) (.f64 x (.f64 x 3))) 2)
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 (fabs.f64 x) (.f64 2 (/.f64 2 x))) (/.f64 (/.f64 4/3 x) x))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 2 (.f64 x x)) (/.f64 4/3 (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (/.f64 (.f64 x (.f64 x 3)) x) (/.f64 1 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (.f64 (fabs.f64 x) (.f64 x 3/2))) (.f64 x 1/2))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (/.f64 2/3 x)) (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (neg.f64 x) (/.f64 (/.f64 -2/3 x) (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (neg.f64 x)) (/.f64 -2/3 (.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x 3/2) (/.f64 (/.f64 1 x) (.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 x (.f64 x 4)) (/.f64 8/3 (*.f64 x (/.f64 2 (fabs.f64 x)))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4) 4)
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (.f64 (fabs.f64 x) (.f64 (/.f64 2 x) (*.f64 x 3/2))) (/.f64 1 x))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (+.f64 (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4) (.f64 (.f64 (fabs.f64 x) (/.f64 (.f64 x (.f64 x 3)) x)) 4)) 8)
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(/.f64 (neg.f64 (.f64 x (/.f64 2 (fabs.f64 x)))) (-.f64 0 (/.f64 2/3 (.f64 x x))))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 x (.f64 (fabs.f64 x) 3))

localize172.0ms (1.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6))))
✓	0.2b	(.f64 (.f64 x x) 6)
✓	20.6b	(/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6))

Compiler

Compiled 65 to 29 computations (55.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6))))
0.0ms	x	@	-inf	(/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6))))
0.0ms	x	@	inf	(/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6))))
0.0ms	x	@	0	(/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6))
0.0ms	x	@	inf	(/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2176×	`bool.json-1`
1302×	`rational.json-simplify-35`
922×	`bool.json-2`
896×	`rational.json-1`
896×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	128	59
2	444	47
3	2031	41
4	7505	41

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6))
(.f64 (.f64 x x) 6)
(/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (*.f64 x x) 6))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/6 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/6 (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (*.f64 x (*.f64 (fabs.f64 x) (*.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (/.f64 1/6 (fabs.f64 x)) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 2 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (fabs.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/6 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x x)) (/.f64 2 (*.f64 (*.f64 x x) 24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fabs.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 1/6) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (*.f64 x (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (*.f64 x x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 (fabs.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 x 6))) (/.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 x (*.f64 (fabs.f64 x) (*.f64 x 6)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/6 (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) 12))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 x x) 24)) (fabs.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/6 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/6 (fabs.f64 x)) (/.f64 1/6 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/6 (fabs.f64 x)) (/.f64 1/6 (fabs.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (/.f64 0 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (/.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (/.f64 0 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (/.f64 0 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 6)) (/.f64 0 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 x) 6) (/.f64 1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x x) 24)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 12) (fabs.f64 x)) (/.f64 2 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 6)) (*.f64 x x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 12) (*.f64 x x)) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 12) (*.f64 x x)) (/.f64 4 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 6)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 6)) (*.f64 x (+.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 6)) (*.f64 x (neg.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 12) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 2 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 12) (*.f64 x (neg.f64 x))) (/.f64 2 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 24) (fabs.f64 x)) (/.f64 4 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 24) (*.f64 x x)) (/.f64 4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 24) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 4 (*.f64 (*.f64 x x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 24) (*.f64 x (neg.f64 x))) (/.f64 4 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (*.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (*.f64 x 6)) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (*.f64 x 6)) (*.f64 x (*.f64 x 6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fabs.f64 x) (/.f64 1/3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fabs.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fabs.f64 x) (/.f64 1/3 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 (/.f64 1/6 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 6 (/.f64 (fabs.f64 (+.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (*.f64 x x) (/.f64 (fabs.f64 (+.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 6)) (/.f64 2 (*.f64 (fabs.f64 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fabs.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 12) (/.f64 1 (*.f64 (fabs.f64 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 2 (*.f64 (/.f64 1/6 (fabs.f64 x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 (fabs.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x x)) (/.f64 6 (*.f64 (fabs.f64 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (/.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (/.f64 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 6) (/.f64 x (/.f64 (fabs.f64 (+.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1/6 (fabs.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x (/.f64 1/6 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/6 (fabs.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (fabs.f64 (+.f64 x x)) x)) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (/.f64 (fabs.f64 (+.f64 x x)) x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (/.f64 (fabs.f64 (+.f64 x x)) x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (fabs.f64 x) (/.f64 4 x))) (*.f64 x (*.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (/.f64 4 x))) 12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 (fabs.f64 x) (/.f64 4 x))) (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fabs.f64 x) (/.f64 4 x))) (*.f64 (*.f64 x x) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 1/6 (fabs.f64 x)) 8)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (fabs.f64 x) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (fabs.f64 x) (/.f64 1/3 x)) (/.f64 (fabs.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (fabs.f64 x) (/.f64 1/3 x)) (/.f64 (fabs.f64 x) (/.f64 1/3 x)))))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational.json-simplify-57`
876×	`rational.json-simplify-51`
746×	`rational.json-simplify-41`
672×	`rational.json-simplify-2`
564×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	171	2324
1	531	2288
2	2016	2276
3	3412	2276
4	6839	2180

Stop Event

1×	node limit

Counts

110 → 112

Calls

Call 1

Inputs
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(*.f64 3 (/.f64 (pow.f64 x 3) (fabs.f64 x)))
(+.f64 (/.f64 1/6 (fabs.f64 x)) 0)
(+.f64 0 (/.f64 1/6 (fabs.f64 x)))
(-.f64 (/.f64 1/6 (fabs.f64 x)) 0)
(.f64 x (/.f64 x (.f64 x (.f64 (fabs.f64 x) (.f64 x 6)))))
(.f64 (fabs.f64 x) (/.f64 1/6 (.f64 x x)))
(*.f64 (fabs.f64 x) (/.f64 (/.f64 1/6 (fabs.f64 x)) (fabs.f64 x)))
(.f64 (.f64 x x) (/.f64 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 12))))
(*.f64 (/.f64 1/6 (fabs.f64 x)) 1)
(*.f64 1 (/.f64 1/6 (fabs.f64 x)))
(.f64 (fabs.f64 (+.f64 x x)) (/.f64 2 (.f64 (*.f64 x x) 24)))
(*.f64 (/.f64 1 (fabs.f64 x)) 1/6)
(*.f64 1/6 (/.f64 1 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) 1/6) (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (.f64 x (*.f64 x 6))))
(.f64 (/.f64 1/6 (.f64 x x)) (fabs.f64 x))
(.f64 (/.f64 1 (.f64 x x)) (*.f64 (fabs.f64 x) 1/6))
(.f64 (/.f64 x (.f64 x (*.f64 x 6))) (/.f64 x (fabs.f64 x)))
(.f64 (/.f64 x (.f64 x (.f64 (fabs.f64 x) (.f64 x 6)))) x)
(*.f64 (/.f64 (/.f64 1/6 (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (/.f64 2 (.f64 (fabs.f64 x) (.f64 (.f64 x x) 12))) (*.f64 x x))
(.f64 (/.f64 2 (.f64 (*.f64 x x) 24)) (fabs.f64 (+.f64 x x)))
(+.f64 (.f64 x (.f64 x 6)) 0)
(+.f64 (.f64 x (.f64 x 6)) (/.f64 0 (fabs.f64 x)))
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(+.f64 (.f64 x (.f64 x 6)) (/.f64 0 (.f64 (.f64 x x) (*.f64 x x))))
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(-.f64 (.f64 x (.f64 x 6)) 0)
(/.f64 (.f64 x (.f64 x 6)) 1)
(/.f64 (.f64 (.f64 x x) 12) 2)
(/.f64 (.f64 (.f64 x x) 24) 4)
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(*.f64 (/.f64 (fabs.f64 x) (/.f64 1/3 x)) 1)
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(.f64 (+.f64 x x) (/.f64 2 (.f64 (/.f64 1/6 (fabs.f64 x)) 8)))
(.f64 (.f64 x 1/2) (*.f64 (fabs.f64 x) 6))
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(.f64 12 (/.f64 (.f64 x x) (*.f64 (fabs.f64 x) (/.f64 4 x))))
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(.f64 (.f64 (fabs.f64 x) 6) (*.f64 x 1/2))
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(.f64 (/.f64 (.f64 x x) (/.f64 (fabs.f64 (+.f64 x x)) x)) 6)
(.f64 (/.f64 6 (/.f64 (fabs.f64 (+.f64 x x)) x)) (.f64 x x))
(.f64 (/.f64 2 (.f64 (fabs.f64 x) (/.f64 4 x))) (.f64 x (.f64 x 6)))
(.f64 (/.f64 (.f64 x x) (*.f64 (fabs.f64 x) (/.f64 4 x))) 12)
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(.f64 (/.f64 2 (.f64 (/.f64 1/6 (fabs.f64 x)) 8)) (+.f64 x x))

Outputs
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(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
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(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
(*.f64 1/6 (/.f64 (fabs.f64 x) (pow.f64 x 2)))
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(.f64 (/.f64 (.f64 x x) (/.f64 (fabs.f64 (+.f64 x x)) x)) 6)
(.f64 6 (.f64 x (/.f64 x (/.f64 (fabs.f64 (+.f64 x x)) x))))
(.f64 (.f64 x 6) (/.f64 x (/.f64 (fabs.f64 (+.f64 x x)) x)))
(.f64 6 (/.f64 x (/.f64 (.f64 (fabs.f64 x) 2) (*.f64 x x))))
(.f64 6 (/.f64 x (fabs.f64 (.f64 2 (/.f64 1 x)))))
(.f64 (/.f64 6 (/.f64 (fabs.f64 (+.f64 x x)) x)) (.f64 x x))
(.f64 x (.f64 x (/.f64 6 (/.f64 (fabs.f64 (+.f64 x x)) x))))
(.f64 x (.f64 x (/.f64 x (/.f64 (fabs.f64 (+.f64 x x)) 6))))
(.f64 x (.f64 x (/.f64 x (/.f64 (*.f64 (fabs.f64 x) 2) 6))))
(.f64 (/.f64 2 (.f64 (fabs.f64 x) (/.f64 4 x))) (.f64 x (.f64 x 6)))
(.f64 (.f64 x (.f64 x 6)) (/.f64 2 (.f64 (fabs.f64 x) (/.f64 4 x))))
(.f64 (.f64 x (*.f64 x 6)) (/.f64 x (/.f64 4 (/.f64 2 (fabs.f64 x)))))
(.f64 6 (.f64 (*.f64 x x) (/.f64 x (/.f64 4 (/.f64 2 (fabs.f64 x))))))
(.f64 (/.f64 (.f64 x x) (*.f64 (fabs.f64 x) (/.f64 4 x))) 12)
(.f64 (.f64 x x) (.f64 12 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 4 x)))))
(.f64 12 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 4 x))) (.f64 x x)))
(.f64 12 (.f64 (*.f64 x x) (/.f64 (/.f64 1 (/.f64 4 x)) (fabs.f64 x))))
(.f64 x (.f64 (*.f64 x 12) (/.f64 x (/.f64 4 (/.f64 1 (fabs.f64 x))))))
(*.f64 12 (/.f64 x (/.f64 4 (fabs.f64 x))))
(.f64 (/.f64 6 (.f64 (fabs.f64 x) (/.f64 4 x))) (*.f64 x (+.f64 x x)))
(.f64 (.f64 x (+.f64 x x)) (/.f64 6 (*.f64 (fabs.f64 x) (/.f64 4 x))))
(.f64 (+.f64 x x) (.f64 x (/.f64 6 (*.f64 (fabs.f64 x) (/.f64 4 x)))))
(.f64 (/.f64 (/.f64 6 (/.f64 4 x)) (fabs.f64 x)) (.f64 x (+.f64 x x)))
(.f64 2 (.f64 (*.f64 x x) (/.f64 (/.f64 6 (/.f64 4 x)) (fabs.f64 x))))
(.f64 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 4 x))) (.f64 (.f64 x x) 12))
(.f64 (.f64 x x) (.f64 12 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 4 x)))))
(.f64 12 (.f64 (/.f64 1 (.f64 (fabs.f64 x) (/.f64 4 x))) (.f64 x x)))
(.f64 12 (.f64 (*.f64 x x) (/.f64 (/.f64 1 (/.f64 4 x)) (fabs.f64 x))))
(.f64 x (.f64 (*.f64 x 12) (/.f64 x (/.f64 4 (/.f64 1 (fabs.f64 x))))))
(*.f64 12 (/.f64 x (/.f64 4 (fabs.f64 x))))
(.f64 (/.f64 2 (.f64 (/.f64 1/6 (fabs.f64 x)) 8)) (+.f64 x x))
(.f64 (+.f64 x x) (/.f64 2 (.f64 (/.f64 1/6 (fabs.f64 x)) 8)))
(*.f64 (+.f64 x x) (/.f64 1/4 (/.f64 1/6 (fabs.f64 x))))
(*.f64 (+.f64 x x) (/.f64 (/.f64 (fabs.f64 x) 1/12) 8))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (*.f64 (fabs.f64 (/.f64 1 x)) 1/3))
✓	0.3b	(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)

Compiler

Compiled 44 to 28 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (*.f64 (fabs.f64 (/.f64 1 x)) 1/3))
1.0ms	x	@	0	(/.f64 x (*.f64 (fabs.f64 (/.f64 1 x)) 1/3))
0.0ms	x	@	inf	(/.f64 x (*.f64 (fabs.f64 (/.f64 1 x)) 1/3))
0.0ms	x	@	-inf	(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)
0.0ms	x	@	0	(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`rational.json-simplify-49`
872×	`rational.json-simplify-35`
656×	`rational.json-simplify-46`
646×	`bool.json-1`
646×	`bool.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	116	40
2	399	34
3	1501	34
4	7667	34

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (/.f64 1 x)) 1/3)
(/.f64 x (*.f64 (fabs.f64 (/.f64 1 x)) 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (fabs.f64 (/.f64 -1 x)) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fabs.f64 x)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x (fabs.f64 x)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fabs.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (*.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 2 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (fabs.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (fabs.f64 x) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (*.f64 (fabs.f64 (/.f64 -1 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (fabs.f64 (/.f64 -1 x)) (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (*.f64 x (fabs.f64 x)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (fabs.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 (fabs.f64 x) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (*.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fabs.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 1 (*.f64 (/.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 1 (/.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 x) (/.f64 2 (/.f64 2 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 2) (/.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1 (*.f64 (fabs.f64 (/.f64 -1 x)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (fabs.f64 x)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x (fabs.f64 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (fabs.f64 x)) (/.f64 1 (/.f64 2 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fabs.f64 x) 3) (/.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (*.f64 (/.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (/.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 1/3 (neg.f64 (fabs.f64 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fabs.f64 (/.f64 -1 x))) (/.f64 1 (/.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (*.f64 1/3 (neg.f64 (fabs.f64 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (/.f64 x (fabs.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (fabs.f64 (/.f64 -1 x)) (*.f64 (/.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (/.f64 (fabs.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (*.f64 (fabs.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 x (fabs.f64 x)) (*.f64 (/.f64 1 x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 1 x) (*.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x x)) (*.f64 (fabs.f64 (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) 2) (*.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x (fabs.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 x) 2/3) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 x (fabs.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 x (fabs.f64 x)) 3) (*.f64 (*.f64 x (fabs.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 x (fabs.f64 x)) 3) (*.f64 (*.f64 x (fabs.f64 x)) 3))))))

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1782×	`rational.json-simplify-35`
1404×	`rational.json-simplify-40`
1358×	`rational.json-simplify-49`
1318×	`rational.json-simplify-38`
880×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2201
1	486	2107
2	1730	1687
3	5909	1685

Stop Event

1×	node limit

Counts

89 → 88

Calls

Call 1

Inputs
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(+.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 0)
(+.f64 0 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3))
(-.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 0)
(/.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 1/3) 1)
(/.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 2/3) 2)
(/.f64 (*.f64 (fabs.f64 (/.f64 -1 x)) 4/3) 4)
(/.f64 (.f64 2 (.f64 (fabs.f64 (/.f64 -1 x)) 4/3)) 8)
(+.f64 (.f64 (.f64 x (fabs.f64 x)) 3) 0)
(+.f64 0 (.f64 (.f64 x (fabs.f64 x)) 3))
(-.f64 (.f64 (.f64 x (fabs.f64 x)) 3) 0)
(.f64 1 (.f64 (*.f64 x (fabs.f64 x)) 3))
(.f64 x (.f64 (fabs.f64 x) 3))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))
(.f64 (/.f64 1 x) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 (.f64 x x)) (*.f64 x 3))))
(.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))
(.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (/.f64 (/.f64 1 (.f64 x x)) (*.f64 x 3))))
(.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 2 (.f64 (/.f64 1 (.f64 x x)) (/.f64 2 (.f64 x 3)))))
(.f64 (.f64 (*.f64 x (fabs.f64 x)) 3) 1)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) (.f64 1/3 (/.f64 (/.f64 1 x) (.f64 x x)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (.f64 x 3))))
(.f64 2 (/.f64 x (.f64 (fabs.f64 (/.f64 -1 x)) 2/3)))
(.f64 2 (/.f64 (fabs.f64 (/.f64 -1 x)) (.f64 (/.f64 1 (.f64 x x)) (/.f64 2 (.f64 x 3)))))
(.f64 2 (/.f64 (.f64 (*.f64 x (fabs.f64 x)) 3) 2))
(*.f64 (+.f64 x x) (/.f64 (fabs.f64 x) 2/3))
(.f64 (+.f64 x x) (.f64 (/.f64 (fabs.f64 x) 2/3) 1))
(.f64 (+.f64 x x) (.f64 1/2 (*.f64 (fabs.f64 x) 3)))
(.f64 (.f64 x (fabs.f64 x)) 3)
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (.f64 1/3 (/.f64 (/.f64 1 x) (.f64 x x)))))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (.f64 x x)) (.f64 x 3))))
(.f64 (fabs.f64 x) (/.f64 1 (.f64 (/.f64 1 x) 1/3)))
(.f64 (fabs.f64 x) (/.f64 1 (/.f64 1 (.f64 x 3))))
(.f64 (fabs.f64 x) (/.f64 2 (/.f64 2 (.f64 x 3))))
(.f64 (.f64 (fabs.f64 (/.f64 -1 x)) 2) (/.f64 1 (.f64 (/.f64 1 (.f64 x x)) (/.f64 2 (*.f64 x 3)))))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (fabs.f64 (/.f64 -1 x)) 4/3)))
(.f64 (.f64 (*.f64 x (fabs.f64 x)) 6) 1/2)
(.f64 (.f64 2 (*.f64 x (fabs.f64 x))) 3/2)
(.f64 (.f64 2 (fabs.f64 x)) (/.f64 1 (/.f64 2 (*.f64 x 3))))
(.f64 (.f64 x 3) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) 3) x)
(.f64 (.f64 (fabs.f64 x) 3) (/.f64 1 (/.f64 1 x)))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 x) (.f64 1/3 (/.f64 (/.f64 1 x) (*.f64 x x)))))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (.f64 x x)) (*.f64 x 3))))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (.f64 (/.f64 1 x) 1/3)))
(.f64 (/.f64 x (fabs.f64 x)) (/.f64 x (/.f64 1 (.f64 x 3))))
(.f64 (neg.f64 x) (/.f64 1 (neg.f64 (.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 1/3 (neg.f64 (fabs.f64 (/.f64 -1 x))))))
(.f64 (neg.f64 (fabs.f64 (/.f64 -1 x))) (/.f64 1 (/.f64 (/.f64 -1 (.f64 x x)) (*.f64 x 3))))
(.f64 -1 (/.f64 x (neg.f64 (.f64 (fabs.f64 (/.f64 -1 x)) 1/3))))
(.f64 -1 (/.f64 x (.f64 1/3 (neg.f64 (fabs.f64 (/.f64 -1 x))))))
(.f64 (.f64 x x) (/.f64 (/.f64 x (fabs.f64 x)) 1/3))
(.f64 (.f64 x x) (/.f64 (fabs.f64 (/.f64 -1 x)) (*.f64 (/.f64 1 x) 1/3)))
(.f64 (.f64 x x) (/.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1 (*.f64 x 3))))
(.f64 (.f64 x x) (/.f64 1 (/.f64 (fabs.f64 x) (*.f64 x 3))))
(.f64 (.f64 x x) (/.f64 (/.f64 1 (.f64 x x)) (.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1/3 x))))
(.f64 (/.f64 1 (/.f64 1 x)) (.f64 (fabs.f64 x) 3))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 x (fabs.f64 x)) (.f64 (/.f64 1 x) 1/3)))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 x (fabs.f64 x)) (/.f64 1 (.f64 x 3))))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 1 x) (.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1/3 x))))
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(.f64 (/.f64 (fabs.f64 x) 2) (.f64 x 6))
(.f64 1/2 (.f64 (*.f64 x (fabs.f64 x)) 6))
(*.f64 (/.f64 (fabs.f64 x) 2/3) (+.f64 x x))

Outputs
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(*.f64 1/3 (/.f64 1 (fabs.f64 x)))
(*.f64 1/3 (fabs.f64 (/.f64 1 x)))
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(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (/.f64 1 x) (.f64 (fabs.f64 (/.f64 -1 x)) (/.f64 1/3 x))))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 (.f64 x (.f64 x x)) (.f64 (fabs.f64 (/.f64 -1 x)) 3))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 3 (.f64 x (fabs.f64 x)))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 (/.f64 (fabs.f64 x) 2) (.f64 x 6))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(.f64 1/2 (.f64 (*.f64 x (fabs.f64 x)) 6))
(*.f64 3 (/.f64 x (fabs.f64 (/.f64 1 x))))
(.f64 x (.f64 3 (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 x 3))
(*.f64 (/.f64 (fabs.f64 x) 2/3) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (fabs.f64 x) 2/3))
(.f64 2 (.f64 (/.f64 (fabs.f64 x) 2/3) x))

eval4.7s (51.4%)

Compiler: Compiled 6032 to 2826 computations (53.1% saved)

prune49.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	323	0	323
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	323	8	331

Error

Counts

331 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
✓	0.2b	(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
✓	0.2b	(.f64 (/.f64 x (.f64 (fabs.f64 (/.f64 1 x)) 1/3)) (/.f64 x (fabs.f64 x)))
✓	0.2b	(.f64 (/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6)))) (/.f64 x (fabs.f64 x)))
✓	0.2b	(*.f64 (/.f64 x 1/3) x)
✓	0.2b	(.f64 (.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x))) (/.f64 x (fabs.f64 x)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 90 to 58 computations (35.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.4b remaining (-210.5%)

Threshold costs -0.4b (-210.5%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(*.f64 (/.f64 x 1/3) x)
(/.f64 (*.f64 3 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))
(*.f64 (/.f64 x (/.f64 1/3 (fabs.f64 x))) (/.f64 x (fabs.f64 x)))
(.f64 (/.f64 x (.f64 (fabs.f64 (/.f64 1 x)) 1/3)) (/.f64 x (fabs.f64 x)))
(.f64 (.f64 (*.f64 (fabs.f64 x) (/.f64 2 x)) (/.f64 x (/.f64 2/3 x))) (/.f64 x (fabs.f64 x)))
(.f64 (/.f64 x (.f64 2 (/.f64 (fabs.f64 x) (.f64 (.f64 x x) 6)))) (/.f64 x (fabs.f64 x)))

Outputs
(.f64 (.f64 x 3) x)

Calls

2 calls:

5.0ms	x
3.0ms	(.f64 (.f64 x 3) x)

Results

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

Compiler

Compiled 91 to 48 computations (47.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))

Outputs
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end77.0ms (0.8%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

Details

analyze4.0ms (0%)

sample1.9s (20.4%)

preprocess137.0ms (1.5%)

simplify135.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite65.0ms (0.7%)

simplify86.0ms (0.9%)

localize4.0ms (0%)

series0.0ms (0%)

rewrite70.0ms (0.8%)

simplify121.0ms (1.3%)

eval4.0ms (0%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite87.0ms (0.9%)

simplify101.0ms (1.1%)

eval7.0ms (0.1%)

prune7.0ms (0.1%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite103.0ms (1.1%)

simplify90.0ms (1%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite79.0ms (0.9%)

simplify139.0ms (1.5%)

eval351.0ms (3.8%)

prune24.0ms (0.3%)

localize21.0ms (0.2%)

series4.0ms (0%)

rewrite79.0ms (0.9%)

simplify117.0ms (1.3%)

localize172.0ms (1.9%)

series4.0ms (0%)

rewrite90.0ms (1%)

simplify98.0ms (1.1%)

localize20.0ms (0.2%)

series2.0ms (0%)

rewrite95.0ms (1%)

simplify88.0ms (1%)

eval4.7s (51.4%)

prune49.0ms (0.5%)

regimes11.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end77.0ms (0.8%)

Profiling