Details

sample54.0ms

Algorithm

intervals

Results

23.0ms	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

simplify4.0ms

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

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune138.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize18.0ms

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))

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`
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))

series460.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

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

prune262.0ms

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	3	7	10
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 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))

rewrite19.0ms

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))

series200.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (sin y))
36.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
106.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

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

prune244.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 0b

Counts

94 → 11

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))

rewrite22.0ms

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))
8.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (sin y))
5.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (36.0ms)

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

prune303.0ms

Filtered

105 candidates to 71 candidates (67.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	106	10	116

Merged error: 0b

Counts

116 → 10

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	15
1	23	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

657.0ms	1497×	body	1280	valid
334.0ms	1267×	body	640	valid
238.0ms	4256×	body	80	valid
115.0ms	657×	body	320	valid
40.0ms	323×	body	160	valid