Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	271×	body	80	valid
12.0ms	292×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series144.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
59.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify46.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	425	414
1	1696	363
2	5001	355

prune192.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
36.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series155.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
61.0ms	(/ (/ y 3.0) (sqrt x))

simplify74.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	771	1529
1	2943	1446
2	5001	1446

prune353.0ms

Filtered

184 candidates to 124 candidates (67.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	184	9	193

Merged error: 0.0b

Counts

193 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

13.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series149.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
61.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))
20.0ms	(/ (/ 1.0 x) 9.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	660	806
1	2588	746
2	5001	746

prune294.0ms

Filtered

141 candidates to 108 candidates (76.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	140	10	150

Merged error: 0b

Counts

150 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ y (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
47.0ms	(/ y (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))
61.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	637	901
1	2885	782
2	5001	775

prune272.0ms

Filtered

154 candidates to 103 candidates (66.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	155	9	164

Merged error: 0b

Counts

164 → 9

regimes62.0ms

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	13	7
1	13	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

372.0ms	8546×	body	80	valid
343.0ms	8462×	body	80	nan