Details

sample6.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.82959%

Guaranteed chance to sample good point: 62.085215%

Results

18.0ms	256×	body	80	valid
6.0ms	84×	body	80	invalid

simplify445.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 11.2b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
4.6b	(* (* (* w w) r) r)
11.4b	(* (* w w) r)

rewrite51.0ms

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:

12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
17.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms	(* (* (* w w) r) r)
8.0ms	(* (* w w) r)

series74.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
24.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms	(* (* (* w w) r) r)
20.0ms	(* (* w w) r)

simplify105.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (91.0ms)

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

prune172.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Merged error: 1.9b

Counts

132 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

4.0ms	(/ 2.0 (* r r))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
13.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series46.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
23.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	559	1085
1	2754	841
2	5001	821

prune204.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	115	12	127

Merged error: 0.0b

Counts

127 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.3b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
0.9b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

924×	`times-frac`
381×	`add-sqr-sqrt` `*-un-lft-identity`
299×	`add-cube-cbrt`
171×	`unpow-prod-down`
119×	`add-exp-log`
101×	`associate-/r*`
83×	`associate-/r/`
82×	`associate-*r/` `div-exp`
57×	`unpow2` `sqr-pow`
48×	`div-inv`
41×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
17×	`associate-/l*`
16×	`cbrt-undiv`
13×	`pow-to-exp` `pow-exp` `prod-exp`
10×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`div-sub`
1×	`pow-flip` `pow-pow` `associate-/l/` `inv-pow`

Counts

4 → 588

Calls

4 calls:

12.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
5.0ms	(/ 2.0 (* r r))
2.0ms	(pow (fabs (* w r)) 2)
28.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms	(/ 2.0 (* r r))
4.0ms	(pow (fabs (* w r)) 2)
28.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify132.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2103	9954
1	5001	9025

prune1.2s

Filtered

294 candidates to 600 candidates (-104.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	594	6	600
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	602	10	612

Merged error: 0.0b

Counts

612 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.2b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.9b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

996×	`times-frac`
421×	`add-sqr-sqrt` `*-un-lft-identity`
339×	`add-cube-cbrt`
171×	`unpow-prod-down`
119×	`add-exp-log`
103×	`associate-/r*`
83×	`div-exp` `associate-/r/`
82×	`associate-*r/`
57×	`unpow2` `sqr-pow`
52×	`div-inv`
41×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
27×	`associate-/l*`
17×	`cbrt-undiv`
13×	`pow-to-exp` `pow-exp`
12×	`prod-exp`
10×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num`
2×	`div-sub` `cbrt-unprod` `associate-/l/`
1×	`pow-flip` `pow-pow` `inv-pow`

Counts

4 → 637

Calls

4 calls:

8.0ms	(/ (/ 2.0 r) r)
13.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (/ 2.0 r) r)
24.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
4.0ms	(pow (fabs (* w r)) 2)
28.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify139.0ms

Algorithm

egg-herbie

Counts

649 → 649

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2312	10319
1	5001	9464

prune1.5s

Filtered

339 candidates to 649 candidates (-91.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	646	3	649
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	646	13	659

Merged error: 0.0b

Counts

659 → 13

regimes394.0ms

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	31	15
1	31	15

end0.0ms

sample7.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.82959%

Guaranteed chance to sample good point: 62.085215%

Results

555.0ms	8000×	body	80	valid
185.0ms	2652×	body	80	invalid

Details

sample6.5s

simplify445.0ms

prune5.0ms

localize21.0ms

rewrite51.0ms

series74.0ms

simplify105.0ms

prune172.0ms

localize17.0ms

rewrite32.0ms

series46.0ms

simplify71.0ms

prune204.0ms

localize20.0ms

rewrite88.0ms

series60.0ms

simplify132.0ms

prune1.2s

localize20.0ms

rewrite90.0ms

series59.0ms

simplify139.0ms

prune1.5s

regimes394.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample7.6s

Profiling