Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	26×	body	1280	valid
11.0ms	185×	body	80	valid
8.0ms	29×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	4×	body	160	valid

simplify22.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin 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`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (+ x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	156	201
1	579	185
2	2660	185
3	5001	185

prune79.0ms

Filtered

38 candidates to 26 candidates (68.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite14.0ms

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

series493.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
120.0ms	(cbrt (* z (sin y)))
114.0ms	(cbrt (* z (sin y)))
117.0ms	(cbrt (* z (sin y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	190	460
1	631	409
2	3021	358
3	5002	336

prune189.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite12.0ms

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 (sin y))
1.0ms	(cbrt z)
3.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
185.0ms	(cbrt z)
119.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify145.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune183.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
6.4b	(cbrt (* z (sin y)))
6.4b	(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 (sin y))
1.0ms	(cbrt z)
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
179.0ms	(cbrt z)
124.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune160.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

regimes144.0ms

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

sample1.3s

Algorithm

intervals

Results

421.0ms	955×	body	1280	valid
313.0ms	5631×	body	80	valid
225.0ms	790×	body	640	valid
75.0ms	413×	body	320	valid
27.0ms	211×	body	160	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