Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	32×	body	1280	valid
10.0ms	182×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

prune6.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

10.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (+ x (cos y)) (* z (sin y)))
40.0ms	(* z (sin y))

simplify67.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	165	254
1	572	238
2	2474	238
3	5002	238

prune82.0ms

Filtered

45 candidates to 30 candidates (33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Merged error: 0.0b

Counts

46 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 137

Calls

4 calls:

14.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
125.0ms	(cbrt (* z (sin y)))
125.0ms	(cbrt (* z (sin y)))
129.0ms	(cbrt (* z (sin y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	276	1247
1	986	1167
2	5001	1069

prune391.0ms

Filtered

149 candidates to 109 candidates (26.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	146	9	155

Merged error: 0.0b

Counts

155 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`*-commutative` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt z)
105.0ms	(cbrt (sin y))
126.0ms	(cbrt (* z (sin y)))
126.0ms	(cbrt (* z (sin y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	180	396
1	445	374
2	1527	352
3	5001	340

prune258.0ms

Filtered

74 candidates to 59 candidates (20.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin y)))
5.4b	(cbrt (* z (* (cbrt (sin y)) (cbrt (sin y)))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

99×	`cbrt-prod`
57×	`add-sqr-sqrt`
39×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unswap-sqr`
15×	`associate-l`
8×	`swap-sqr`
5×	`*-commutative`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 106

Calls

4 calls:

3.0ms	(cbrt (cbrt (sin y)))
20.0ms	(cbrt (* z (* (cbrt (sin y)) (cbrt (sin y)))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (cbrt (sin y)))
187.0ms	(cbrt (* z (* (cbrt (sin y)) (cbrt (sin y)))))
133.0ms	(cbrt (* z (sin y)))
130.0ms	(cbrt (* z (sin y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	369	1078
1	1073	1042
2	4339	997
3	5002	991

prune376.0ms

Filtered

118 candidates to 84 candidates (28.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	118	8	126

Merged error: 0b

Counts

126 → 8

regimes170.0ms

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	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

394.0ms	956×	body	1280	valid
296.0ms	5586×	body	80	valid
223.0ms	849×	body	640	valid
66.0ms	394×	body	320	valid
25.0ms	214×	body	160	valid
1.0ms	1×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5