Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	56×	body	1280	valid
8.0ms	33×	body	640	valid
7.0ms	131×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	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 (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
5.0ms	(* z (sin y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune137.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	47	10	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	10	58

Merged error: 0.0b

Counts

58 → 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))
4.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series458.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

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

prune263.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

4.0ms	(* z (sin y))
9.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series194.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (sin y))
36.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
23.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	294	422
1	1280	367
2	5001	350

prune250.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`unpow-prod-down`
15×	`add-exp-log` `associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unswap-sqr`
12×	`cbrt-prod`
9×	`associate-r`
7×	`pow1` `add-cbrt-cube` `sqr-pow`
6×	`prod-exp`
5×	`pow-exp`
4×	`unpow2` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `cbrt-unprod`
2×	`pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3`

Counts

4 → 93

Calls

4 calls:

4.0ms	(* z (sin y))
9.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series165.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (sin y))
6.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify45.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	313	604
1	1191	544
2	5001	496

prune316.0ms

Filtered

105 candidates to 71 candidates (67.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

regimes196.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

634.0ms	1497×	body	1280	valid
522.0ms	1267×	body	640	valid
235.0ms	4256×	body	80	valid
113.0ms	657×	body	320	valid
39.0ms	323×	body	160	valid