Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
12.0ms	169×	body	80	valid
7.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

3.0ms	(+ x (sin y))
10.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (sin y))
46.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	198	267
1	692	251
2	2521	251
3	5002	251

prune145.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize13.0ms

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))

rewrite12.0ms

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

series482.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify114.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (108.0ms)

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

prune269.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize23.0ms

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)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
102.0ms	(cbrt (cbrt (cos y)))

simplify185.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 4 (181.0ms)

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

prune246.0ms

Filtered

59 candidates to 46 candidates (78.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize23.0ms

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))

series612.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
104.0ms	(cbrt (cos y))

simplify112.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (108.0ms)

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

prune215.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

regimes153.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

380.0ms	920×	body	1280	valid
302.0ms	5695×	body	80	valid
206.0ms	780×	body	640	valid
64.0ms	380×	body	320	valid
26.0ms	225×	body	160	valid