Details

sample57.0ms

Algorithm

intervals

Results

22.0ms	43×	body	2560	valid
11.0ms	41×	body	1280	valid
8.0ms	48×	body	640	valid
4.0ms	30×	body	320	valid
3.0ms	83×	body	80	valid
2.0ms	11×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	28	8

prune2.0ms

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: 29.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.3b	(- 1.0 (cos x))
12.4b	(/ (- 1.0 (cos x)) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/l*`
4×	`add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

2 → 42

Calls

2 calls:

3.0ms	(- 1.0 (cos x))
7.0ms	(/ (- 1.0 (cos x)) (* x x))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- 1.0 (cos x))
6.0ms	(/ (- 1.0 (cos x)) (* x x))

simplify31.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5441	441

prune91.0ms

Filtered

34 candidates to 48 candidates (-41.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	39	9	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	9	49

Merged error: 0.1b

Counts

49 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 (cos x)))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (cos x)))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))

series31.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (- 1.0 (cos x)))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))

simplify37.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5133	529

prune134.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Merged error: 0.1b

Counts

78 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (exp (cbrt (- 1.0 (cos x)))))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`log-pow`
8×	`exp-prod`
7×	`add-cube-cbrt`
5×	`pow1` `cbrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `flip--`
1×	`rem-log-exp`

Counts

4 → 62

Calls

4 calls:

4.0ms	(log (exp (cbrt (- 1.0 (cos x)))))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))

series31.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(log (exp (cbrt (- 1.0 (cos x)))))
5.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4909	530
1	4909	530

prune164.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	73	10	83

Merged error: 0.1b

Counts

83 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))
1.3b	(- 1.0 (cos x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))

simplify30.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4962	504
1	4962	504

prune181.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	67	11	78

Merged error: 0.1b

Counts

78 → 11

regimes142.0ms

Accuracy

98.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 31.1b

bsearch35.0ms

Steps

Iters	Range		Point
10	0.009091900342010817	66730311810763.45	0.03112348777583602
9	-60.40944958396893	-2.7804654585538832e-05	-0.033986447814389004

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	67
1	44	67

end0.0ms

sample1.9s

Algorithm

intervals

Results

849.0ms	1625×	body	2560	valid
356.0ms	1305×	body	1280	valid
240.0ms	1411×	body	640	valid
116.0ms	937×	body	320	valid
91.0ms	2263×	body	80	valid
40.0ms	459×	body	160	valid

Details

sample57.0ms

simplify3.0ms

prune2.0ms

localize7.0ms

rewrite11.0ms

series9.0ms

simplify31.0ms

prune91.0ms

localize9.0ms

rewrite14.0ms

series31.0ms

simplify37.0ms

prune134.0ms

localize13.0ms

rewrite16.0ms

series31.0ms

simplify51.0ms

prune164.0ms

localize17.0ms

rewrite15.0ms

series12.0ms

simplify30.0ms

prune181.0ms

regimes142.0ms

bsearch35.0ms

simplify1.0ms

end0.0ms

sample1.9s

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