Details

sample40.0ms

Algorithm

intervals

Results

9.0ms	31×	body	1280	valid
9.0ms	191×	body	80	valid
6.0ms	30×	body	640	valid
4.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

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: 3.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.3b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune189.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.3b	(* x (/ (/ (sin y) y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
18.0ms	(* x (/ (/ (sin y) y) z))

series124.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (/ (sin y) y) z)
24.0ms	(/ (sin y) y)
69.0ms	(* x (/ (/ (sin y) y) z))

simplify73.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	616	1200
1	2881	1122
2	5002	1122

prune545.0ms

Filtered

177 candidates to 143 candidates (80.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	178	9	187

Merged error: 0b

Counts

187 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (/ (sin y) y) (/ 1 z))
2.3b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 122

Calls

3 calls:

4.0ms	(/ (sin y) y)
11.0ms	(* (/ (sin y) y) (/ 1 z))
10.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (sin y) y)
35.0ms	(* (/ (sin y) y) (/ 1 z))
64.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	542	796
1	2405	660
2	5001	636

prune204.0ms

Filtered

131 candidates to 85 candidates (64.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	131	9	140

Merged error: 0b

Counts

140 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(/ x (/ z (/ (sin y) y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

6.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
15.0ms	(/ x (/ z (/ (sin y) y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ z (/ (sin y) y))
24.0ms	(/ (sin y) y)
79.0ms	(/ x (/ z (/ (sin y) y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1117	2974
1	5001	2852

prune674.0ms

Filtered

308 candidates to 264 candidates (85.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	308	9	317

Merged error: 0b

Counts

317 → 9

regimes228.0ms

Accuracy

87.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	17
1	30	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

286.0ms	5934×	body	80	valid
282.0ms	934×	body	1280	valid
209.0ms	998×	body	640	valid
84.0ms	535×	body	320	valid
29.0ms	286×	body	160	valid