Details

sample71.0ms

Algorithm

intervals

Results

27.0ms	61×	body	1280	valid
10.0ms	37×	body	640	valid
8.0ms	124×	body	80	valid
5.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	158	9
1	158	9

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))

rewrite14.0ms

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:

4.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
5.0ms	(* x (cos y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
8.0ms	(* x (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4868	402
1	4868	402

prune97.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite14.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series83.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
21.0ms	(cbrt (sin y))
19.0ms	(cbrt (sin y))
19.0ms	(cbrt (sin y))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune112.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	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:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series96.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
23.0ms	(cbrt z)
24.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5165	356

prune106.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos 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:

6.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
3.0ms	(cbrt (* x (cos y)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
24.0ms	(cbrt (* x (cos y)))
25.0ms	(cbrt (* x (cos y)))
24.0ms	(cbrt (* x (cos y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4991	438
1	4991	438

prune70.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

regimes347.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	18
1	58	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

698.0ms	1519×	body	1280	valid
345.0ms	1207×	body	640	valid
283.0ms	4295×	body	80	valid
123.0ms	644×	body	320	valid
46.0ms	335×	body	160	valid

Details

sample71.0ms

simplify9.0ms

prune4.0ms

localize10.0ms

rewrite14.0ms

series30.0ms

simplify49.0ms

prune97.0ms

localize14.0ms

rewrite14.0ms

series83.0ms

simplify56.0ms

prune112.0ms

localize14.0ms

rewrite12.0ms

series96.0ms

simplify51.0ms

prune106.0ms

localize14.0ms

rewrite14.0ms

series105.0ms

simplify50.0ms

prune70.0ms

regimes347.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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