Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	54×	body	1280	valid
11.0ms	39×	body	640	valid
8.0ms	131×	body	80	valid
4.0ms	17×	body	320	valid
2.0ms	15×	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

prune8.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* x (sin y))
7.0ms	(* z (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (5.0ms)

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

prune91.0ms

Filtered

56 candidates to 40 candidates (28.6%)

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: 0.0b

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))

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:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
19.0ms	(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

prune116.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))
4.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))
17.0ms	(cbrt (cbrt (cos y)))
22.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	109	297
1	287	267
2	925	256
3	5002	256

prune95.0ms

Filtered

57 candidates to 46 candidates (19.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	57	10	67

Merged error: 0.0b

Counts

67 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
9.1b	(cbrt (* x (sin y)))
9.1b	(cbrt (* x (sin y)))
9.1b	(cbrt (* x (sin y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
22.0ms	(cbrt (* x (sin y)))
25.0ms	(cbrt (* x (sin y)))
23.0ms	(cbrt (* x (sin y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	196	476
1	665	424
2	3243	382
3	5001	361

prune78.0ms

Filtered

70 candidates to 53 candidates (24.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	68	12	80

Merged error: 0.0b

Counts

80 → 12

regimes254.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

692.0ms	1546×	body	1280	valid
323.0ms	1165×	body	640	valid
267.0ms	4360×	body	80	valid
123.0ms	611×	body	320	valid
42.0ms	318×	body	160	valid

Details

sample62.0ms

simplify3.0ms

prune8.0ms

localize10.0ms

rewrite12.0ms

series28.0ms

simplify69.0ms

prune91.0ms

localize13.0ms

rewrite12.0ms

series79.0ms

simplify104.0ms

prune116.0ms

localize17.0ms

rewrite9.0ms

series72.0ms

simplify42.0ms

prune95.0ms

localize14.0ms

rewrite14.0ms

series102.0ms

simplify92.0ms

prune78.0ms

regimes254.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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