Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	29×	body	1280	valid
0.0hr	160×	body	80	valid
0.0hr	35×	body	640	valid
0.0hr	22×	body	320	valid
0.0hr	10×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune0.0hr

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: 0.2b

Counts

2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

0.0hr	(* x (/ (sin y) y))
0.0hr	(/ (sin y) y)

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(* x (/ (sin y) y))
0.0hr	(/ (sin y) y)

simplify0.0hr

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5001	289

prune0.0hr

Filtered

65 candidates to 48 candidates (26.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize0.0hr

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

0.0hr	(* x (* (sin y) (/ 1 y)))
0.0hr	(* (sin y) (/ 1 y))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(* x (* (sin y) (/ 1 y)))
0.0hr	(* (sin y) (/ 1 y))

simplify0.0hr

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	282	337
1	1251	269
2	5001	252

prune0.0hr

Filtered

66 candidates to 41 candidates (37.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))

rewrite0.0hr

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:

0.0hr	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.0hr	(cbrt (/ (sin y) y))
0.0hr	(cbrt (/ (sin y) y))
0.0hr	(cbrt (/ (sin y) y))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.0hr	(cbrt (/ (sin y) y))
0.0hr	(cbrt (/ (sin y) y))
0.0hr	(cbrt (/ (sin y) y))

simplify0.0hr

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	300	1399
1	1062	1348
2	5001	1289

prune0.0hr

Filtered

156 candidates to 126 candidates (19.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	156	7	163

Merged error: 0.0b

Counts

163 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite0.0hr

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:

0.0hr	(* (cbrt (sin y)) (cbrt (sin y)))
0.0hr	(cbrt (sin y))
0.0hr	(cbrt (sin y))
0.0hr	(cbrt (sin y))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (cbrt (sin y)) (cbrt (sin y)))
0.0hr	(cbrt (sin y))
0.0hr	(cbrt (sin y))
0.0hr	(cbrt (sin y))

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	403
3	5002	397

prune0.0hr

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

regimes0.0hr

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	973×	body	1280	valid
0.0hr	5165×	body	80	valid
0.0hr	1004×	body	640	valid
0.0hr	555×	body	320	valid
0.0hr	303×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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