Details

sample267.0ms

Algorithm

intervals

Results

234.0ms

506×

body

valid

simplify459.0ms

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: 12.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.6b	(* (* (* w w) r) r)
6.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.7b	(* (* w w) r)

rewrite50.0ms

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

series70.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.0ms	(* (* (* w w) r) r)
33.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.0ms	(* (* w w) r)

simplify102.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (89.0ms)

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

prune156.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 2.1b

Counts

132 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.7b	(/ 2.0 (* r r))
2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite34.0ms

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:

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
21.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	559	1085
1	2754	841
2	5001	823

prune199.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	111	13	124

Merged error: 0.0b

Counts

124 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.7b	(/ 2.0 (* r r))
4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac`
117×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
53×	`associate-/r*`
51×	`unpow-prod-down`
39×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`add-cbrt-cube`
19×	`div-exp`
17×	`unpow2` `sqr-pow`
9×	`cbrt-undiv` `associate-/l*`
5×	`pow1` `prod-exp` `div-inv`
4×	`pow-to-exp` `pow-exp` `associate-/l/` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-pow` `div-sub` `associate-/r/`

Counts

4 → 223

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
16.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.0ms	(pow (fabs (* w r)) 2)
3.0ms	(/ 2.0 (* r r))
20.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify105.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	971	2431
1	4166	2156
2	5001	2156

prune407.0ms

Filtered

136 candidates to 235 candidates (-72.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	226	9	235
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	236	12	248

Merged error: 0.0b

Counts

248 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
4.9b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
11.1b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
11.1b	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
218×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
120×	`add-cube-cbrt`
98×	`sqrt-prod`
90×	`unpow-prod-down`
88×	`associate-/r*`
52×	`add-exp-log`
48×	`distribute-lft-out--` `difference-of-squares`
30×	`unpow2` `sqr-pow`
28×	`div-exp` `add-cbrt-cube`
12×	`cbrt-undiv`
10×	`div-inv`
8×	`prod-exp`
6×	`pow1`
4×	`pow-to-exp` `associate-*r/` `pow-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `clear-num` `flip--` `associate-/l*`

Counts

4 → 348

Calls

4 calls:

15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
15.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
13.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
20.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
29.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
36.0ms	(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify126.0ms

Algorithm

egg-herbie

Counts

360 → 360

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1009	5344
1	4408	4834
2	5002	4834

prune1.1s

Filtered

214 candidates to 360 candidates (-68.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	360	12	372

Merged error: 0.0b

Counts

372 → 12

regimes401.0ms

Accuracy

0% (0.4b 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	29	26
1	29	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

16746×

body

valid

Details

sample267.0ms

simplify459.0ms

prune5.0ms

localize20.0ms

rewrite50.0ms

series70.0ms

simplify102.0ms

prune156.0ms

localize17.0ms

rewrite34.0ms

series41.0ms

simplify70.0ms

prune199.0ms

localize18.0ms

rewrite40.0ms

series42.0ms

simplify105.0ms

prune407.0ms

localize21.0ms

rewrite77.0ms

series107.0ms

simplify126.0ms

prune1.1s

regimes401.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

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