Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3

prune1.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`times-frac`
20×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`associate-/l*`
8×	`distribute-lft-out--`
4×	`swap-sqr` `associate-l` `*-commutative` `unswap-sqr`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

14.0ms

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

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify79.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	226	385
1	683	370
2	2744	367
3	5002	366

prune68.0ms

Filtered

63 candidates to 37 candidates (41.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* x x) 6.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-/l*`
12×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 79

Calls

1 calls:

7.0ms

(/ (* x x) 6.0)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (* x x) 6.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	274	394
1	1350	369
2	5001	361

prune102.0ms

Filtered

82 candidates to 53 candidates (35.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt (* x x)) (/ 6.0 (sqrt (* x x))))
18.7b	(sqrt (* x x))
18.7b	(sqrt (* x x))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

2070×	`times-frac`
1785×	`sqrt-prod`
1325×	`add-sqr-sqrt`
1077×	`add-cube-cbrt` `*-un-lft-identity`
359×	`swap-sqr`
357×	`associate-r` `associate-l`
121×	`*-commutative` `unswap-sqr`
76×	`associate-/r*`
24×	`associate-/r/`
21×	`associate-/l*`
20×	`div-inv`
19×	`pow1`
12×	`sqrt-pow1`
10×	`rem-sqrt-square`
8×	`add-exp-log` `add-cbrt-cube`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `frac-2neg` `pow-plus` `pow1/2` `pow-prod-down` `clear-num` `pow-sqr` `pow-prod-up`

Counts

3 → 1232

Calls

3 calls:

43.0ms	(/ (sqrt (* x x)) (/ 6.0 (sqrt (* x x))))
5.0ms	(sqrt (* x x))
5.0ms	(sqrt (* x x))

series41.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (sqrt (* x x)) (/ 6.0 (sqrt (* x x))))
8.0ms	(sqrt (* x x))
8.0ms	(sqrt (* x x))

simplify206.0ms

Algorithm

egg-herbie

Counts

1241 → 1241

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2504	14637
1	5001	14561

prune1.3s

Filtered

1241 candidates to 454 candidates (63.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1240	1	1241
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	1241	3	1244

Merged error: 0b

Counts

1244 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sqrt (* x x)) 6.0) (fabs x))
18.7b	(sqrt (* x x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
80×	`sqrt-prod`
73×	`associate-l`
60×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-*l/`
18×	`associate-r` `associate-/l*`
17×	`swap-sqr`
14×	`unswap-sqr`
12×	`pow1`
8×	`*-commutative`
7×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-pow1`
5×	`rem-sqrt-square`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `pow1/2` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

2 → 143

Calls

2 calls:

19.0ms	(* (/ (sqrt (* x x)) 6.0) (fabs x))
5.0ms	(sqrt (* x x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (/ (sqrt (* x x)) 6.0) (fabs x))
8.0ms	(sqrt (* x x))

simplify55.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	374	732
1	1560	619
2	5001	612

prune250.0ms

Filtered

149 candidates to 103 candidates (30.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	149	3	152

Merged error: 0b

Counts

152 → 3

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	18	8
2	18	8

end0.0ms

sample302.0ms

Algorithm

intervals

Results

186.0ms

10653×

body

valid