Details

sample690.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

20.0ms	44×	body	1280	valid
10.0ms	34×	body	640	valid
10.0ms	145×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	9×	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

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (cos 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 (sin y)) (* z (cos y)))
4.0ms	(* x (sin y))
4.0ms	(* z (cos y))

series32.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
8.0ms	(* z (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune76.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

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))

rewrite15.0ms

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))
3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify107.0ms

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

prune102.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (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	(* x (sin y))
9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (sin y))
7.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
18.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	297	419
1	1306	364
2	5002	350

prune117.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (pow (cos y) 6))
0.3b	(cbrt (cos y))
0.5b	(pow (cos y) 6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

9.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms	(cbrt (pow (cos y) 6))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 6)

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
3.0ms	(cbrt (pow (cos y) 6))
17.0ms	(cbrt (cos y))
9.0ms	(pow (cos y) 6)

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	254	468
1	1095	416
2	5001	391

prune108.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes178.0ms

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	19	11
1	19	11

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

688.0ms	1483×	body	1280	valid
350.0ms	1247×	body	640	valid
290.0ms	4311×	body	80	valid
127.0ms	647×	body	320	valid
42.0ms	312×	body	160	valid

Details

sample690.0ms

simplify4.0ms

prune4.0ms

localize13.0ms

rewrite13.0ms

series32.0ms

simplify70.0ms

prune76.0ms

localize13.0ms

rewrite15.0ms

series78.0ms

simplify107.0ms

prune102.0ms

localize19.0ms

rewrite18.0ms

series35.0ms

simplify44.0ms

prune117.0ms

localize17.0ms

rewrite17.0ms

series36.0ms

simplify38.0ms

prune108.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

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