Details

sample15.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

7.0ms

338×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2205	208
3	5001	208

prune62.0ms

Filtered

30 candidates to 37 candidates (-23.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

5.0ms

(* 0.16666666666666666 (pow x 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 0.16666666666666666 (pow x 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune39.0ms

Filtered

18 candidates to 30 candidates (-66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Merged error: 0b

Counts

35 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b	(/ 6.0 (- (* x x) 3.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

9.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
4.0ms	(/ 6.0 (- (* x x) 3.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	503	1147
1	2480	1026
2	5001	913

prune121.0ms

Filtered

72 candidates to 135 candidates (-87.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(+ x (sqrt 3.0))
0.0b	(- x (sqrt 3.0))
0.8b	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
37×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
16×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-prod` `distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`associate-l`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 115

Calls

4 calls:

6.0ms	(/ (- x (sqrt 3.0)) 6.0)
3.0ms	(+ x (sqrt 3.0))
4.0ms	(- x (sqrt 3.0))
13.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (- x (sqrt 3.0)) 6.0)
4.0ms	(+ x (sqrt 3.0))
6.0ms	(- x (sqrt 3.0))
13.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	350	821
1	1627	740
2	5002	728

prune178.0ms

Filtered

85 candidates to 127 candidates (-49.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes162.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample571.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

412.0ms

10574×

body

valid

Details

sample15.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify68.0ms

prune62.0ms

localize5.0ms

rewrite6.0ms

series3.0ms

simplify75.0ms

prune39.0ms

localize5.0ms

rewrite20.0ms

series12.0ms

simplify58.0ms

prune121.0ms

localize7.0ms

rewrite31.0ms

series27.0ms

simplify49.0ms

prune178.0ms

regimes162.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample571.0ms

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