Details

sample890.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.109253%

Results

18.0ms	32×	body	1280	valid
11.0ms	185×	body	80	valid
5.0ms	19×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

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

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: 0.0b

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:

3.0ms	(+ x (sin y))
6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (sin y))
11.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* 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

prune70.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

5.0ms	(+ x (+ (sin y) (* z (cos y))))
3.0ms	(+ (sin y) (* z (cos y)))
4.0ms	(* z (cos y))

series27.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (+ (sin y) (* z (cos y))))
10.0ms	(+ (sin y) (* z (cos y)))
6.0ms	(* z (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	215	281
1	788	265
2	2606	265
3	5001	265

prune56.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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))

series76.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune90.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Merged error: 0b

Counts

90 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
25.0ms	(cbrt (pow (cos y) 2))
18.0ms	(cbrt (cos y))

simplify36.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	236	416
1	1087	359
2	5001	345

prune86.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

regimes179.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.109253%

Results

465.0ms	1002×	body	1280	valid
373.0ms	5563×	body	80	valid
248.0ms	828×	body	640	valid
80.0ms	409×	body	320	valid
29.0ms	198×	body	160	valid

Details

sample890.0ms

simplify6.0ms

prune4.0ms

localize9.0ms

rewrite14.0ms

series23.0ms

simplify67.0ms

prune70.0ms

localize9.0ms

rewrite13.0ms

series27.0ms

simplify69.0ms

prune56.0ms

localize12.0ms

rewrite11.0ms

series76.0ms

simplify100.0ms

prune90.0ms

localize14.0ms

rewrite14.0ms

series53.0ms

simplify36.0ms

prune86.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling