Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
12.0ms	240×	body	80	nan

simplify26.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite15.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 70

Calls

3 calls:

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

series116.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ y (* 3.0 (sqrt x)))
40.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	390	346
1	1563	295
2	5001	287

prune201.0ms

Filtered

79 candidates to 58 candidates (73.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	69	10	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ y 3.0) (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
81×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
16×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

2 → 137

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (/ y 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	622	1109
1	2449	1031
2	5001	1028

prune321.0ms

Filtered

143 candidates to 96 candidates (67.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	144	9	153

Merged error: 0.0b

Counts

153 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (sqrt x) (/ y (cbrt 3.0)))
0.4b	(/ y (cbrt 3.0))
0.6b	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
0.7b	(/ 1.0 (* x 9.0))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

3572×	`times-frac`
1418×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
597×	`sqrt-prod`
507×	`cbrt-prod`
205×	`div-inv`
166×	`associate-/r*`
94×	`add-exp-log`
60×	`div-exp`
41×	`add-cbrt-cube`
30×	`cbrt-undiv`
19×	`associate-/l*`
10×	`prod-exp` `associate-/r/`
6×	`rec-exp` `1-exp`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 1388

Calls

4 calls:

13.0ms	(/ (sqrt x) (/ y (cbrt 3.0)))
4.0ms	(/ y (cbrt 3.0))
43.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
4.0ms	(/ 1.0 (* x 9.0))

series319.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (sqrt x) (/ y (cbrt 3.0)))
56.0ms	(/ y (cbrt 3.0))
112.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
16.0ms	(/ 1.0 (* x 9.0))

simplify261.0ms

Algorithm

egg-herbie

Counts

1400 → 1400

Iterations

Useful iterations: 1 (71.0ms)

Iter	Nodes	Cost
0	4747	25413
1	5001	24640

prune3.4s

Filtered

1400 candidates to 739 candidates (52.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1398	2	1400
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	1400	9	1409

Merged error: 0.0b

Counts

1409 → 9

localize9.0ms

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))

rewrite24.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

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

series113.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
37.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	612	711
1	2407	655
2	5001	651

prune309.0ms

Filtered

128 candidates to 100 candidates (78.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	128	9	137

Merged error: 0b

Counts

137 → 9

regimes69.0ms

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	20	13
1	20	13

end0.0ms

sample833.0ms

Algorithm

intervals

Results

281.0ms	8543×	body	80	valid
267.0ms	8675×	body	80	nan