Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	174×	body	80	valid
6.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune127.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.2b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

6.0ms	(* (/ (sin y) y) x)
4.0ms	(/ (sin y) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)

simplify141.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	217	314
1	866	282
2	4397	282
3	5001	282

prune130.0ms

Filtered

65 candidates to 49 candidates (75.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

14.0ms	(* x (/ 1 (/ y (sin y))))
3.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	567	1204
1	2885	1046
2	5001	925

prune301.0ms

Filtered

185 candidates to 114 candidates (61.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Merged error: 0b

Counts

192 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series579.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
136.0ms	(cbrt (/ (sin y) y))
132.0ms	(cbrt (/ (sin y) y))
138.0ms	(cbrt (/ (sin y) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	296	1415
1	990	1364
2	5001	1289

prune423.0ms

Filtered

156 candidates to 126 candidates (80.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	156	7	163

Merged error: 0b

Counts

163 → 7

regimes72.0ms

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	10	4
1	10	4

end0.0ms

sample836.0ms

Algorithm

intervals

Results

251.0ms	988×	body	1280	valid
194.0ms	5173×	body	80	valid
152.0ms	973×	body	640	valid
60.0ms	542×	body	320	valid
26.0ms	324×	body	160	valid