Details

sample59.0ms

Algorithm

intervals

Results

22.0ms	41×	body	2560	valid
12.0ms	41×	body	1280	valid
7.0ms	45×	body	640	valid
5.0ms	36×	body	320	valid
3.0ms	70×	body	80	valid
2.0ms	23×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	28	8

prune7.0ms

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: 30.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.1b	(- 1.0 (cos x))
13.1b	(/ (- 1.0 (cos x)) (* x x))

rewrite13.0ms

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:

4.0ms	(- 1.0 (cos x))
8.0ms	(/ (- 1.0 (cos x)) (* x x))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify27.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5433	441

prune106.0ms

Filtered

34 candidates to 48 candidates (-41.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	37	11	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	11	49

Merged error: 0.2b

Counts

49 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 (cos x)))
2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))

rewrite17.0ms

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

series33.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (- 1.0 (cos x)))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))
3.0ms	(- 1.0 (cos x))

simplify34.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5378	529

prune164.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	68	12	80

Merged error: 0.1b

Counts

80 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))
2.3b	(log (exp (- 1.0 (cos x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

4.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))
6.0ms	(log (exp (- 1.0 (cos x))))

series13.0ms

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	(log (exp (- 1.0 (cos x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4921	520
1	4921	520

prune184.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	75	11	86

Merged error: 0.1b

Counts

86 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))
2.1b	(- 1.0 (cos x))
2.3b	(log (exp (- 1.0 (cos x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

4.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))
4.0ms	(- 1.0 (cos x))
6.0ms	(log (exp (- 1.0 (cos x))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4921	520
1	4921	520

prune171.0ms

Filtered

52 candidates to 74 candidates (-42.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Merged error: 0.1b

Counts

85 → 11

regimes81.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 31.4b

bsearch30.0ms

Steps

Iters	Range		Point
9	0.009971872296741319	901.3230478674768	0.0342323272118313
7	-0.0552767792151412	-0.0004813576712207844	-0.03453332244767238

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	70
1	52	70

end0.0ms

sample1.9s

Algorithm

intervals

Results

860.0ms	1637×	body	2560	valid
359.0ms	1266×	body	1280	valid
253.0ms	1449×	body	640	valid
112.0ms	912×	body	320	valid
94.0ms	2278×	body	80	valid
39.0ms	458×	body	160	valid

Details

sample59.0ms

simplify2.0ms

prune7.0ms

localize7.0ms

rewrite13.0ms

series10.0ms

simplify27.0ms

prune106.0ms

localize10.0ms

rewrite17.0ms

series33.0ms

simplify34.0ms

prune164.0ms

localize14.0ms

rewrite20.0ms

series13.0ms

simplify50.0ms

prune184.0ms

localize19.0ms

rewrite20.0ms

series16.0ms

simplify50.0ms

prune171.0ms

regimes81.0ms

bsearch30.0ms

simplify1.0ms

end0.0ms

sample1.9s

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