Details

sample83.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

29.0ms	36×	body	1280	valid
18.0ms	181×	body	80	valid
12.0ms	26×	body	640	valid
4.0ms	12×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+ x (sin y))
5.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series22.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (sin y))
11.0ms	(+ (+ x (sin y)) (* z (cos y)))
6.0ms	(* z (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune69.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

5.0ms	(+ x (+ (sin y) (* z (cos y))))
4.0ms	(* z (cos y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (+ (sin y) (* z (cos y))))
6.0ms	(* z (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	155	198
1	545	177
2	1966	177
3	5002	177

prune49.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
24.0ms	(cbrt z)
21.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune89.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
22.0ms	(cbrt z)
33.0ms	(cbrt (cbrt z))
30.0ms	(cbrt (cbrt z))

simplify77.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	99	274
1	175	254
2	404	214
3	1393	206
4	5002	206

prune63.0ms

Filtered

49 candidates to 62 candidates (-26.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

regimes257.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

463.0ms	1000×	body	1280	valid
353.0ms	5602×	body	80	valid
229.0ms	821×	body	640	valid
71.0ms	378×	body	320	valid
26.0ms	199×	body	160	valid

Details

sample83.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite14.0ms

series22.0ms

simplify67.0ms

prune69.0ms

localize11.0ms

rewrite9.0ms

series18.0ms

simplify49.0ms

prune49.0ms

localize13.0ms

rewrite10.0ms

series92.0ms

simplify72.0ms

prune89.0ms

localize22.0ms

rewrite6.0ms

series105.0ms

simplify77.0ms

prune63.0ms

regimes257.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling