Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 82.003873%

Results

16.0ms	36×	body	1280	valid
8.0ms	164×	body	80	valid
6.0ms	29×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	11×	body	80	invalid
0.0ms	3×	body	320	invalid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	640	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 3.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* 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×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

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

series27.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5002	420

prune107.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.1b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
11.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	480	667
1	2656	552
2	5001	539

prune102.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
3.0b	(* x (/ (/ (sin y) y) z))

rewrite30.0ms

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

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
13.0ms	(* x (/ (/ (sin y) y) z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune146.0ms

Filtered

136 candidates to 171 candidates (-25.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	172	7	179

Merged error: 0b

Counts

179 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* x (/ (sin y) y)) z)
14.1b	(cbrt (/ (* x (/ (sin y) y)) z))
14.1b	(cbrt (/ (* x (/ (sin y) y)) z))
14.1b	(cbrt (/ (* x (/ (sin y) y)) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/l/` `associate-/l`

Counts

4 → 72

Calls

4 calls:

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (* x (/ (sin y) y)) z)
34.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
32.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
32.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	290	698
1	1228	629
2	5002	578

prune89.0ms

Filtered

74 candidates to 84 candidates (-13.5%)

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

regimes561.0ms

Accuracy

91.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 82.003873%

Results

285.0ms	935×	body	1280	valid
278.0ms	5292×	body	80	valid
203.0ms	973×	body	640	valid
76.0ms	525×	body	320	valid
28.0ms	275×	body	160	valid
20.0ms	377×	body	80	invalid
10.0ms	53×	body	640	invalid
6.0ms	41×	body	320	invalid
3.0ms	33×	body	160	invalid
3.0ms	9×	body	1280	invalid

Details

sample1.3s

simplify9.0ms

prune3.0ms

localize7.0ms

rewrite19.0ms

series27.0ms

simplify44.0ms

prune107.0ms

localize8.0ms

rewrite25.0ms

series28.0ms

simplify64.0ms

prune102.0ms

localize7.0ms

rewrite30.0ms

series27.0ms

simplify68.0ms

prune146.0ms

localize12.0ms

rewrite22.0ms

series112.0ms

simplify35.0ms

prune89.0ms

regimes561.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling