Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	35×	body	1280	valid
6.0ms	160×	body	80	valid
5.0ms	31×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	15×	body	160	valid

simplify7.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (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-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune122.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 182

Calls

3 calls:

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

series100.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	576	1226
1	2906	1067
2	5001	946

prune247.0ms

Filtered

191 candidates to 120 candidates (62.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	191	7	198

Merged error: 0b

Counts

198 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 483

Calls

3 calls:

42.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
3.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
12.0ms	(/ 1 (sin y))
24.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

492 → 492

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1784	4470
1	5001	3847

prune640.0ms

Filtered

492 candidates to 262 candidates (53.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	492	7	499

Merged error: 0b

Counts

499 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
6.6b	(cbrt (* x (/ (sin y) y)))
6.6b	(cbrt (* x (/ (sin y) y)))
6.6b	(cbrt (* x (/ (sin y) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
119.0ms	(cbrt (* x (/ (sin y) y)))
113.0ms	(cbrt (* x (/ (sin y) y)))
118.0ms	(cbrt (* x (/ (sin y) y)))

simplify140.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	210	616
1	834	549
2	4674	504
3	5001	504

prune175.0ms

Filtered

84 candidates to 69 candidates (82.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes122.0ms

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

sample912.0ms

Algorithm

intervals

Results

262.0ms	967×	body	1280	valid
205.0ms	5079×	body	80	valid
184.0ms	1041×	body	640	valid
80.0ms	587×	body	320	valid
28.0ms	326×	body	160	valid