Details

sample89.0ms

Algorithm

intervals

Results

33.0ms	109×	body	1280	valid
16.0ms	83×	body	640	valid
13.0ms	283×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	17×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

prune3.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (sin y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/ (sin y) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ (sin y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5050	223

prune58.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 0.0b

Counts

31 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.2b	(/ y (sin y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

6.0ms	(/ 1 (/ y (sin y)))
4.0ms	(/ y (sin y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ 1 (/ y (sin y)))
6.0ms	(/ y (sin y))

simplify75.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4883	1001
1	4883	1001

prune106.0ms

Filtered

67 candidates to 109 candidates (-62.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (sin y) (/ 1 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

8.0ms

(* (sin y) (/ 1 y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (sin y) (/ 1 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5008	241

prune51.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	39	9	48

Merged error: 0.0b

Counts

48 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

13.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
23.0ms	(cbrt (/ (sin y) y))
26.0ms	(cbrt (/ (sin y) y))
24.0ms	(cbrt (/ (sin y) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4903	1647
1	4903	1647

prune150.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	156	9	165

Merged error: 0.0b

Counts

165 → 9

regimes291.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

984.0ms	3067×	body	1280	valid
512.0ms	2489×	body	640	valid
416.0ms	8473×	body	80	valid
179.0ms	1279×	body	320	valid
61.0ms	607×	body	160	valid

Details

sample89.0ms

simplify69.0ms

prune3.0ms

localize7.0ms

rewrite5.0ms

series4.0ms

simplify42.0ms

prune58.0ms

localize10.0ms

rewrite15.0ms

series10.0ms

simplify75.0ms

prune106.0ms

localize8.0ms

rewrite9.0ms

series4.0ms

simplify35.0ms

prune51.0ms

localize10.0ms

rewrite28.0ms

series104.0ms

simplify66.0ms

prune150.0ms

regimes291.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

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