Details

analyze293.0ms

Algorithm: search

sample61.0ms

Algorithm

intervals

Results

25.0ms	56×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	137×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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

series31.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))
9.0ms	(* x (sin y))

simplify72.0ms

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

prune95.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

localize14.0ms

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))

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))

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

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

prune122.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
19.0ms	(cbrt (cos y))
26.0ms	(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	236	416
1	1087	359
2	5001	345

prune136.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	77	11	88

Merged error: 0.0b

Counts

88 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `prod-exp` `add-cbrt-cube`
6×	`unpow-prod-down` `associate-r`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/3` `cbrt-unprod`
2×	`pow-to-exp` `pow-pow` `pow-exp`
1×	`associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

8.0ms	(* (* z (pow (cbrt (cos y)) 2)) (cbrt (cos y)))
3.0ms	(pow (cbrt (cos y)) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series67.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* z (pow (cbrt (cos y)) 2)) (cbrt (cos y)))
24.0ms	(pow (cbrt (cos y)) 2)
17.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	239	398
1	1020	318
2	5002	295

prune85.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

regimes253.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

analyze278.0ms

Algorithm: search

sample1.7s

Algorithm

intervals

Results

707.0ms	1562×	body	1280	valid
363.0ms	1242×	body	640	valid
309.0ms	4291×	body	80	valid
118.0ms	601×	body	320	valid
47.0ms	304×	body	160	valid

Details

analyze293.0ms

sample61.0ms

simplify4.0ms

prune4.0ms

localize9.0ms

rewrite16.0ms

series31.0ms

simplify72.0ms

prune95.0ms

localize14.0ms

rewrite12.0ms

series79.0ms

simplify106.0ms

prune122.0ms

localize14.0ms

rewrite15.0ms

series55.0ms

simplify40.0ms

prune136.0ms

localize14.0ms

rewrite15.0ms

series67.0ms

simplify41.0ms

prune85.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze278.0ms

sample1.7s

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