Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 69.911504%

Results

17.0ms	58×	body	1280	invalid
14.0ms	42×	body	1280	valid
10.0ms	49×	body	640	valid
8.0ms	41×	body	640	invalid
8.0ms	80×	body	80	invalid
7.0ms	130×	body	80	valid
4.0ms	26×	body	320	valid
4.0ms	26×	body	320	invalid
1.0ms	9×	body	160	invalid
1.0ms	9×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	500	4
6	1427	4
7	4640	4
8	5001	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))

series41.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
14.0ms	(/ (sinh y) y)
20.0ms	(* (sin x) (/ (sinh y) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune92.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(pow (/ (sinh y) y) 3)
0.2b	(cbrt (pow (/ (sinh y) y) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

4.0ms	(/ (sinh y) y)
15.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
5.0ms	(pow (/ (sinh y) y) 3)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))

series65.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (sinh y) y)
22.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
17.0ms	(pow (/ (sinh y) y) 3)
12.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	595	1154
1	2882	1049
2	5001	1028

prune149.0ms

Filtered

108 candidates to 185 candidates (-71.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	185	3	188

Merged error: 0b

Counts

188 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite20.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 64

Calls

4 calls:

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
44.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
46.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
44.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	309	782
1	973	674
2	4483	590
3	5001	583

prune80.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.6b	(/ (* (sin x) (sinh y)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series43.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
19.0ms	(/ (* (sin x) (sinh y)) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5002	255

prune47.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 69.911504%

Results

513.0ms	1502×	body	1280	valid
458.0ms	1537×	body	1280	invalid
262.0ms	1315×	body	640	invalid
257.0ms	1267×	body	640	valid
241.0ms	4312×	body	80	valid
132.0ms	2366×	body	80	invalid
91.0ms	638×	body	320	invalid
90.0ms	609×	body	320	valid
31.0ms	305×	body	160	invalid
31.0ms	310×	body	160	valid

Details

sample1.3s

simplify74.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series41.0ms

simplify38.0ms

prune92.0ms

localize9.0ms

rewrite34.0ms

series65.0ms

simplify79.0ms

prune149.0ms

localize11.0ms

rewrite20.0ms

series199.0ms

simplify122.0ms

prune80.0ms

localize8.0ms

rewrite11.0ms

series43.0ms

simplify35.0ms

prune47.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

Profiling