Details

sample58.0ms

Algorithm

intervals

Results

20.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	143×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.0ms

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

localize10.0ms

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))

rewrite12.0ms

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

series211.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify73.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

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

prune93.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.1b

Counts

57 → 10

localize13.0ms

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))

rewrite11.0ms

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:

5.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series77.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))

simplify102.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

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

prune128.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	81	14	95

Merged error: 0.0b

Counts

95 → 14

localize15.0ms

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

rewrite14.0ms

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
25.0ms	(cbrt (pow (cos y) 2))
17.0ms	(cbrt (cos y))

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

prune144.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	5	7	12
Picked	1	0	1
Done	0	1	1
Total	80	12	92

Merged error: 0.0b

Counts

92 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`log-pow`
11×	`exp-prod`
9×	`unpow-prod-down`
6×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 68

Calls

4 calls:

2.0ms	(pow (cos y) 2)
4.0ms	(log (exp (cbrt (pow (cos y) 2))))
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (cos y) 2)
25.0ms	(log (exp (cbrt (pow (cos y) 2))))
24.0ms	(cbrt (pow (cos y) 2))
19.0ms	(cbrt (cos y))

simplify77.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	189	357
1	578	312
2	2100	303
3	5001	302

prune123.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	80	12	92

Merged error: 0.0b

Counts

92 → 12

regimes267.0ms

Accuracy

0% (0.3b 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	19	12
1	19	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

651.0ms	1488×	body	1280	valid
367.0ms	1320×	body	640	valid
261.0ms	4265×	body	80	valid
114.0ms	606×	body	320	valid
46.0ms	321×	body	160	valid

Details

sample58.0ms

simplify3.0ms

prune4.0ms

localize10.0ms

rewrite12.0ms

series211.0ms

simplify73.0ms

prune93.0ms

localize13.0ms

rewrite11.0ms

series77.0ms

simplify102.0ms

prune128.0ms

localize15.0ms

rewrite14.0ms

series54.0ms

simplify40.0ms

prune144.0ms

localize18.0ms

rewrite12.0ms

series71.0ms

simplify77.0ms

prune123.0ms

regimes267.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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