Details

analyze2.4s

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 37.920615%

Guaranteed chance to sample good point: 62.085215%

sample40.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
6.0ms	81×	body	80	invalid

simplify453.0ms

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: 15.2b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.7b	(* (* (* w w) r) r)
8.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.7b	(* (* w w) r)

rewrite52.0ms

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:

13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
17.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* w w) r)

series73.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
25.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
20.0ms	(* (* w w) r)

simplify102.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (88.0ms)

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

prune182.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Merged error: 2.4b

Counts

132 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
6.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
6.7b	(* (* (* w w) r) r)
8.7b	(* (* w w) r)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log` `add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
23×	`pow1`
17×	`associate-r`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow-prod-down`
10×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
8×	`times-frac`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `associate-l` `-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` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(/ 2.0 (* r r))
16.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
7.0ms	(* (* (* w w) r) r)
6.0ms	(* (* w w) r)

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 2.0 (* r r))
25.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
7.0ms	(* (* (* w w) r) r)
4.0ms	(* (* w w) r)

simplify97.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	707	1007
1	3970	740
2	5001	736

prune175.0ms

Filtered

63 candidates to 120 candidates (-90.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	119	13	132

Merged error: 0.1b

Counts

132 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
6.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
6.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
3.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
23.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify79.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	599	1138
1	3030	904
2	5001	889

prune233.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	125	12	137

Merged error: 0.0b

Counts

137 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fabs (* w r)) (- 1.0 v))
0.3b	(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
0.3b	(/ 2.0 (* r r))
6.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
37×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
18×	`pow1`
16×	`prod-exp` `cbrt-unprod`
9×	`associate-*r/` `pow-prod-down`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
4×	`flip3--` `associate-l` `associate-/r/` `flip--` `add-log-exp`
3×	`div-inv`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

5.0ms	(/ (fabs (* w r)) (- 1.0 v))
10.0ms	(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
4.0ms	(/ 2.0 (* r r))
12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (fabs (* w r)) (- 1.0 v))
15.0ms	(* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v)))
3.0ms	(/ 2.0 (* r r))
25.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (/ (fabs (* w r)) (- 1.0 v))))

simplify78.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	651	1399
1	2988	1144
2	5001	1131

prune194.0ms

Filtered

96 candidates to 141 candidates (-46.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	141	12	153

Merged error: 0.0b

Counts

153 → 12

regimes378.0ms

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	28	16
1	28	16

end0.0ms

analyze2.2s

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 37.920615%

Guaranteed chance to sample good point: 62.085215%

sample914.0ms

Algorithm

intervals

Results

528.0ms	8000×	body	80	valid
165.0ms	2504×	body	80	invalid

Details

analyze2.4s

sample40.0ms

simplify453.0ms

prune5.0ms

localize20.0ms

rewrite52.0ms

series73.0ms

simplify102.0ms

prune182.0ms

localize18.0ms

rewrite38.0ms

series38.0ms

simplify97.0ms

prune175.0ms

localize17.0ms

rewrite33.0ms

series45.0ms

simplify79.0ms

prune233.0ms

localize18.0ms

rewrite37.0ms

series53.0ms

simplify78.0ms

prune194.0ms

regimes378.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.2s

sample914.0ms

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