Details

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.536011%

Guaranteed chance to sample good point: 66.877237%

Results

18.0ms	256×	body	80	valid
10.0ms	146×	body	80	invalid

simplify420.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	667	14
3	3125	14
4	5002	14

prune5.0ms

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: 13.4b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (* w w) r) r)
4.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.1b	(* (* w w) r)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

7.0ms	(* (* (* w w) r) r)
12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
16.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* w w) r)

series65.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (* w w) r) r)
25.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
23.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.0ms	(* (* w w) r)

simplify103.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	670	1303
1	3876	935
2	5003	931

prune169.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	9	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Merged error: 1.9b

Counts

132 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2.0 (* r r))
3.1b	(* (* w (* w r)) r)
4.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
6.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
55×	`prod-exp` `cbrt-unprod`
45×	`pow1`
30×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`cbrt-undiv` `div-exp`
9×	`add-cube-cbrt`
8×	`times-frac`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-l` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

4.0ms	(/ 2.0 (* r r))
6.0ms	(* (* w (* w r)) r)
12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
19.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 2.0 (* r r))
6.0ms	(* (* w (* w r)) r)
21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
22.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify112.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	734	1314
1	4440	942
2	5003	942

prune182.0ms

Filtered

64 candidates to 133 candidates (-107.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	9	133
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Merged error: 0.3b

Counts

142 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* w (* w r))
0.4b	(/ 2.0 (* r r))
3.1b	(* (* w (* w r)) r)
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log` `add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
23×	`pow1`
15×	`associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down`
10×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
8×	`times-frac`
5×	`associate-r/` `associate-l*`
4×	`add-log-exp`
3×	`flip3--` `-commutative` `flip--` `associate-/l`
2×	`frac-times` `associate-*l/` `associate-/r/` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

5.0ms	(* w (* w r))
4.0ms	(/ 2.0 (* r r))
6.0ms	(* (* w (* w r)) r)
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* w (* w r))
3.0ms	(/ 2.0 (* r r))
6.0ms	(* (* w (* w r)) r)
22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

simplify106.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	707	1003
1	4229	732
2	5001	732

prune157.0ms

Filtered

64 candidates to 119 candidates (-85.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Merged error: 0.1b

Counts

132 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* w r) (* w r)) (- 1.0 v))
0.3b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log` `add-cbrt-cube`
51×	`prod-exp` `cbrt-unprod`
48×	`pow1`
20×	`pow-prod-down`
17×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`times-frac`
12×	`associate-r`
10×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`associate-*r/`
4×	`flip3--` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*` `add-log-exp`
3×	`div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `pow-plus` `associate-l` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `swap-sqr`

Counts

4 → 139

Calls

4 calls:

11.0ms	(/ (* (* w r) (* w r)) (- 1.0 v))
6.0ms	(* (* w r) (* w r))
4.0ms	(/ 2.0 (* r r))
15.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* (* w r) (* w r)) (- 1.0 v))
6.0ms	(* (* w r) (* w r))
3.0ms	(/ 2.0 (* r r))
22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

simplify105.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	775	1330
1	4403	963
2	5002	963

prune133.0ms

Filtered

73 candidates to 151 candidates (-106.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Merged error: 0.1b

Counts

162 → 10

regimes329.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.536011%

Guaranteed chance to sample good point: 66.877237%

Results

561.0ms	8000×	body	80	valid
303.0ms	4395×	body	80	invalid

Details

sample2.6s

simplify420.0ms

prune5.0ms

localize29.0ms

rewrite49.0ms

series65.0ms

simplify103.0ms

prune169.0ms

localize17.0ms

rewrite46.0ms

series52.0ms

simplify112.0ms

prune182.0ms

localize18.0ms

rewrite38.0ms

series35.0ms

simplify106.0ms

prune157.0ms

localize19.0ms

rewrite43.0ms

series47.0ms

simplify105.0ms

prune133.0ms

regimes329.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.6s

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