Details

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results

18.0ms	42×	body	1280	valid
16.0ms	57×	body	640	valid
8.0ms	129×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune4.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune80.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune105.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.1b	(cbrt (* z (sin y)))
8.1b	(cbrt (* z (sin y)))
8.1b	(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
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` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	197	476
1	659	425
2	3240	368
3	5001	346

prune107.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(cbrt (sin y))
8.1b	(cbrt (* z (sin y)))
8.1b	(cbrt (* z (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
19.0ms	(cbrt (sin y))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	164	280
1	394	257
2	1344	218
3	5002	194

prune58.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

regimes222.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample4.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.382813%

Results

688.0ms	1517×	body	1280	valid
349.0ms	1249×	body	640	valid
297.0ms	4310×	body	80	valid
135.0ms	638×	body	320	valid
44.0ms	286×	body	160	valid

Details

sample2.2s

simplify4.0ms

prune4.0ms

localize10.0ms

rewrite12.0ms

series31.0ms

simplify59.0ms

prune80.0ms

localize13.0ms

rewrite11.0ms

series79.0ms

simplify106.0ms

prune105.0ms

localize13.0ms

rewrite16.0ms

series103.0ms

simplify93.0ms

prune107.0ms

localize17.0ms

rewrite8.0ms

series87.0ms

simplify47.0ms

prune58.0ms

regimes222.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.1s

Profiling