Details

sample582.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

19.0ms	44×	body	1280	valid
11.0ms	39×	body	640	valid
9.0ms	143×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune4.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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)))
7.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (5.0ms)

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

prune88.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Merged error: 0.0b

Counts

58 → 9

localize16.0ms

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`
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))

series79.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune119.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

8.0ms	(* x (pow (pow (cos y) 2) 1/3))
9.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (pow (pow (cos y) 2) 1/3))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune154.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	7	9
Picked	1	0	1
Done	1	0	1
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

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

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
2.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	329	730
1	1306	650
2	5001	596

prune131.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

regimes307.0ms

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	17	10
1	17	10

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

652.0ms	1453×	body	1280	valid
359.0ms	1288×	body	640	valid
305.0ms	4358×	body	80	valid
124.0ms	638×	body	320	valid
36.0ms	263×	body	160	valid

Details

sample582.0ms

simplify4.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series28.0ms

simplify59.0ms

prune88.0ms

localize16.0ms

rewrite12.0ms

series79.0ms

simplify104.0ms

prune119.0ms

localize16.0ms

rewrite23.0ms

series49.0ms

simplify46.0ms

prune154.0ms

localize16.0ms

rewrite26.0ms

series29.0ms

simplify47.0ms

prune131.0ms

regimes307.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

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