Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
10.0ms	35×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.2b	(* x (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* x (sin y)) (* z (cos y)))
34.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune128.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize13.0ms

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))

rewrite14.0ms

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))

series438.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune225.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

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 x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series733.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt x) (cbrt x))
172.0ms	(cbrt x)
181.0ms	(cbrt x)
178.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune233.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite16.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series397.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune202.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	86	12	98

Merged error: 0.0b

Counts

98 → 12

regimes149.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

634.0ms	1461×	body	1280	valid
357.0ms	1260×	body	640	valid
260.0ms	4324×	body	80	valid
115.0ms	622×	body	320	valid
43.0ms	333×	body	160	valid

Details

sample55.0ms

simplify4.0ms

prune2.0ms

localize9.0ms

rewrite13.0ms

series149.0ms

simplify71.0ms

prune128.0ms

localize13.0ms

rewrite14.0ms

series438.0ms

simplify103.0ms

prune225.0ms

localize13.0ms

rewrite10.0ms

series733.0ms

simplify89.0ms

prune233.0ms

localize13.0ms

rewrite16.0ms

series397.0ms

simplify99.0ms

prune202.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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