Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	272×	body	80	valid
11.0ms	277×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac` `associate-r` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 64

Calls

3 calls:

5.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series117.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
40.0ms	(* 3.0 (sqrt x))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	374	326
1	1524	275
2	5001	267

prune163.0ms

Filtered

73 candidates to 52 candidates (71.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	63	10	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	10	74

Merged error: 0b

Counts

74 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))
0.6b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`sqrt-prod` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/ (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (* 3.0 (sqrt x)) y)
16.0ms	(/ 1.0 (* x 9.0))
39.0ms	(* 3.0 (sqrt x))
57.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	608	748
1	2921	637
2	5001	600

prune209.0ms

Filtered

132 candidates to 79 candidates (59.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	132	10	142

Merged error: 0b

Counts

142 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `div-inv`
5×	`pow1` `cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))
20.0ms	(/ (/ 1.0 x) 9.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	596	691
1	2368	635
2	5001	635

prune282.0ms

Filtered

122 candidates to 95 candidates (77.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	123	9	132

Merged error: 0b

Counts

132 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.4b	(* (cbrt 3.0) (sqrt x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
28×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`pow1` `prod-exp` `cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
7×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
6×	`times-frac` `associate-/l*`
5×	`cbrt-prod` `sqrt-prod`
4×	`add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

11.0ms	(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
10.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
6.0ms	(* (cbrt 3.0) (sqrt x))

series291.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
74.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))
62.0ms	(* (cbrt 3.0) (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	559	825
1	2485	635
2	5001	587

prune195.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	109	9	118

Merged error: 0b

Counts

118 → 9

regimes67.0ms

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	18	8
1	18	8

end0.0ms

sample964.0ms

Algorithm

intervals

Results

348.0ms	8554×	body	80	valid
334.0ms	8594×	body	80	nan