Details

sample300.0ms

Algorithm

intervals

Results

31.0ms

550×

body

valid

simplify84.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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: 15.5b

Counts

2 → 1

localize37.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.4b	(* (* (* w w) r) r)
9.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.9b	(* (* 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:

12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
16.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms	(* (* w w) r)

series220.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
32.0ms	(* (* (* w w) r) r)
78.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms	(* (* w w) r)

simplify108.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (92.0ms)

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

prune263.0ms

Filtered

131 candidates to 61 candidates (46.6%)

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: 3.3b

Counts

132 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* r r))
6.4b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
7.4b	(* (* (* w w) r) r)
11.9b	(* (* w w) r)

rewrite40.0ms

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:

4.0ms	(/ 2.0 (* r r))
15.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
8.0ms	(* (* (* w w) r) r)
6.0ms	(* (* w w) r)

series145.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 2.0 (* r r))
70.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
32.0ms	(* (* (* w w) r) r)
18.0ms	(* (* w w) r)

simplify100.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (89.0ms)

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

prune267.0ms

Filtered

120 candidates to 64 candidates (53.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	119	10	129

Merged error: 0.1b

Counts

129 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
6.4b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite31.0ms

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:

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

series136.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
62.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify80.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	599	1138
1	3030	904
2	5002	891

prune347.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	112	12	124
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	121	13	134

Merged error: 0.0b

Counts

134 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
6.4b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
37×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`associate-r` `associate-/l*`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
7×	`div-inv`
5×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r/` `flip--` `add-log-exp`
3×	`swap-sqr` `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` `associate-/l/` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

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

series135.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
24.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
59.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify98.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	807	1501
1	3892	1248
2	5002	1234

prune432.0ms

Filtered

173 candidates to 112 candidates (64.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	172	14	186

Merged error: 0.0b

Counts

186 → 14

regimes263.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

919.0ms

16915×

body

valid