Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
10.0ms	42×	body	640	valid
7.0ms	133×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

13.0ms	(+ (* x (sin y)) (* z (cos y)))
5.0ms	(* x (sin y))
4.0ms	(* z (cos y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* x (sin y))
37.0ms	(* z (cos y))

simplify80.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	185	270
1	702	249
2	2218	249
3	5001	249

prune144.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize14.0ms

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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series480.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
103.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))

simplify117.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	131	478
1	525	405
2	3653	363
3	5001	357

prune272.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
101.0ms	(cbrt (cbrt (cos y)))

simplify182.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 4 (178.0ms)

Iter	Nodes	Cost
0	77	272
1	207	250
2	663	242
3	3549	242
4	5002	236

prune254.0ms

Filtered

59 candidates to 46 candidates (78.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
109.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify113.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	47	232
1	139	212
2	435	204
3	2152	204
4	5001	200

prune234.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

regimes168.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

597.0ms	1433×	body	1280	valid
320.0ms	1214×	body	640	valid
258.0ms	4435×	body	80	valid
106.0ms	584×	body	320	valid
40.0ms	334×	body	160	valid