Details

sample46.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	181×	body	80	valid
8.0ms	30×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	8×	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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ 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)))
7.0ms	(* z (cos y))

simplify64.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	192
1	605	176
2	2510	176
3	5001	176

prune53.0ms

Filtered

37 candidates to 26 candidates (29.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize15.0ms

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))

series77.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

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

prune90.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite15.0ms

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 (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
23.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	183	458
1	597	407
2	2879	365
3	5002	343

prune88.0ms

Filtered

70 candidates to 53 candidates (24.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	70	6	76

Merged error: 0b

Counts

76 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (cbrt (* z (cos y))))
0.6b	(cbrt (cbrt (* z (cos y))))
0.6b	(cbrt (cbrt (* z (cos y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (cbrt (* z (cos y))))
2.0ms	(cbrt (cbrt (* z (cos y))))
2.0ms	(cbrt (cbrt (* z (cos y))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (* z (cos y)))
26.0ms	(cbrt (cbrt (* z (cos y))))
25.0ms	(cbrt (cbrt (* z (cos y))))
28.0ms	(cbrt (cbrt (* z (cos y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	127	421
1	288	387
2	966	354
3	5001	327

prune65.0ms

Filtered

57 candidates to 49 candidates (14.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	57	6	63

Merged error: 0b

Counts

63 → 6

regimes244.0ms

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

sample1.3s

Algorithm

intervals

Results

400.0ms	945×	body	1280	valid
312.0ms	5632×	body	80	valid
227.0ms	804×	body	640	valid
79.0ms	417×	body	320	valid
25.0ms	202×	body	160	valid

Details

sample46.0ms

simplify5.0ms

prune4.0ms

localize9.0ms

rewrite11.0ms

series18.0ms

simplify64.0ms

prune53.0ms

localize15.0ms

rewrite11.0ms

series77.0ms

simplify108.0ms

prune90.0ms

localize13.0ms

rewrite15.0ms

series99.0ms

simplify87.0ms

prune88.0ms

localize19.0ms

rewrite9.0ms

series103.0ms

simplify38.0ms

prune65.0ms

regimes244.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling