Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	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 (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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r` `unswap-sqr`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

13.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* x (cos y)) (* z (sin y)))
41.0ms	(* x (cos y))
37.0ms	(* z (sin y))

simplify62.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	192	338
1	664	317
2	2069	317
3	5001	317

prune168.0ms

Filtered

65 candidates to 44 candidates (67.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

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))

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))
1.0ms	(cbrt (cos y))

series471.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify106.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (100.0ms)

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

prune283.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	87	11	98

Merged error: 0.0b

Counts

98 → 11

localize18.0ms

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)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

4.0ms	(* z (sin y))
23.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series200.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (sin y))
43.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	459	909
1	1868	785
2	5001	756

prune434.0ms

Filtered

127 candidates to 85 candidates (66.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`cbrt-prod`
27×	`associate-l` `unswap-sqr`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-cbrt-cube`
12×	`unpow-prod-down`
10×	`pow1` `add-exp-log` `cbrt-unprod`
6×	`unpow2` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`pow1/3` `*-commutative`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series320.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))
160.0ms	(cbrt (pow (cos y) 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	362	863
1	1573	745
2	5001	711

prune371.0ms

Filtered

117 candidates to 79 candidates (67.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	117	10	127

Merged error: 0.0b

Counts

127 → 10

regimes137.0ms

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	17	10
1	17	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

644.0ms	1433×	body	1280	valid
340.0ms	1213×	body	640	valid
272.0ms	4439×	body	80	valid
109.0ms	585×	body	320	valid
44.0ms	330×	body	160	valid