Details

sample963.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 85.601849%

Results

8.0ms	170×	body	80	valid
8.0ms	28×	body	1280	valid
6.0ms	28×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	4×	body	320	invalid
0.0ms	8×	body	80	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	160	invalid

simplify8.0ms

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: 0.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.8b	(/ (* x (/ (sin y) y)) z)

rewrite32.0ms

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:

12.0ms	(* x (/ (sin y) y))
6.0ms	(/ (sin y) y)
8.0ms	(/ (* x (/ (sin y) y)) z)

series34.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
16.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

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

prune110.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.8b	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
13×	`add-cbrt-cube`
9×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
17.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

series88.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (/ (sin y) y))
22.0ms	(cbrt (/ (sin y) y))
25.0ms	(cbrt (/ (sin y) y))
18.0ms	(/ (* (* x (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (cbrt (/ (sin y) y))) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	371	1011
1	1602	838
2	5001	777

prune128.0ms

Filtered

92 candidates to 110 candidates (-19.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0b

Counts

117 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.2b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite24.0ms

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:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
10.0ms	(* (* 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))

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

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

prune98.0ms

Filtered

72 candidates to 114 candidates (-58.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0b

Counts

122 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.8b	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
22.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

series72.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
18.0ms	(/ (* x (* (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)))) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	634	1222
1	3511	807
2	5001	650

prune72.0ms

Filtered

54 candidates to 89 candidates (-64.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	89	8	97

Merged error: 0b

Counts

97 → 8

regimes340.0ms

Accuracy

0% (3.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.288818%

Guaranteed chance to sample good point: 85.601849%

Results

299.0ms	985×	body	1280	valid
269.0ms	5181×	body	80	valid
219.0ms	1047×	body	640	valid
77.0ms	502×	body	320	valid
33.0ms	285×	body	160	valid
22.0ms	424×	body	80	invalid
10.0ms	46×	body	320	invalid
10.0ms	49×	body	640	invalid
4.0ms	36×	body	160	invalid
3.0ms	10×	body	1280	invalid

Details

sample963.0ms

simplify8.0ms

prune3.0ms

localize7.0ms

rewrite32.0ms

series34.0ms

simplify48.0ms

prune110.0ms

localize11.0ms

rewrite27.0ms

series88.0ms

simplify51.0ms

prune128.0ms

localize8.0ms

rewrite24.0ms

series28.0ms

simplify63.0ms

prune98.0ms

localize15.0ms

rewrite30.0ms

series72.0ms

simplify82.0ms

prune72.0ms

regimes340.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling