Details

sample314.0ms

Algorithm

intervals

Results

32.0ms

602×

body

valid

simplify86.0ms

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: 12.0b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.0b	(* (* (* w w) r) r)
6.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.9b	(* (* w w) r)

rewrite53.0ms

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))
9.0ms	(* (* 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)
76.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
27.0ms	(* (* w w) r)

simplify109.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (92.0ms)

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

prune260.0ms

Filtered

131 candidates to 61 candidates (46.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 2.1b

Counts

132 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- 1.0 v) (* (* (* w w) r) r))
5.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
5.0b	(* (* (* w w) r) r)
8.9b	(* (* w w) r)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log` `add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
24×	`times-frac`
22×	`cbrt-undiv` `div-exp`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`pow1`
12×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`pow-prod-down`
6×	`associate-r` `associate-/l*`
4×	`div-inv` `associate-/l/` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`flip3--` `frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `flip--`
1×	`div-sub` `associate-/r/` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

11.0ms	(/ (- 1.0 v) (* (* (* w w) r) r))
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
7.0ms	(* (* (* w w) r) r)
6.0ms	(* (* w w) r)

series170.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- 1.0 v) (* (* (* w w) r) r))
70.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
31.0ms	(* (* (* w w) r) r)
18.0ms	(* (* w w) r)

simplify103.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	704	1271
1	4091	947
2	5003	943

prune303.0ms

Filtered

136 candidates to 76 candidates (55.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	135	9	144

Merged error: 0.1b

Counts

144 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
0.5b	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
5.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

4.0ms	(* (fabs (* w r)) (fabs (* w r)))
5.0ms	(/ 2.0 (* r r))
7.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
12.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
32.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
62.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	603	1212
1	3004	959
2	5001	953

prune363.0ms

Filtered

130 candidates to 83 candidates (63.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	129	10	139

Merged error: 0.0b

Counts

139 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (fabs (* w r)))
0.2b	(/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
5.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

400×	`times-frac`
234×	`add-sqr-sqrt` `*-un-lft-identity`
166×	`add-cube-cbrt`
68×	`associate-/r*`
37×	`add-exp-log` `add-cbrt-cube`
34×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/l*`
18×	`cbrt-undiv` `div-exp`
16×	`div-inv`
5×	`associate-/l/`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*r/` `flip--`
1×	`associate-/r/`

Counts

4 → 302

Calls

4 calls:

6.0ms	(/ (- 1.0 v) (fabs (* w r)))
9.0ms	(/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
17.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (- 1.0 v) (fabs (* w r)))
31.0ms	(/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r)))
28.0ms	(/ 2.0 (* r r))
55.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (fabs (* w r))))

simplify72.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1349	4490
1	5001	4055

prune808.0ms

Filtered

314 candidates to 204 candidates (65.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	314	10	324

Merged error: 0.0b

Counts

324 → 10

regimes201.0ms

Accuracy

0% (0.2b 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	26	16
1	26	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

884.0ms

17015×

body

valid