Details

sample315.0ms

Algorithm

intervals

Results

38.0ms

550×

body

valid

simplify85.0ms

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: 11.1b

Counts

2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.7b	(* (* (* w w) r) r)
6.3b	(* (* 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))
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)

series225.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
71.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
40.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

simplify108.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (91.0ms)

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

prune265.0ms

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: 1.9b

Counts

132 → 9

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))))
4.7b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite36.0ms

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))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
9.0ms	(* (* 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))

series134.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
43.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
59.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify73.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (62.0ms)

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

prune331.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Merged error: 0.3b

Counts

126 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
4.4b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite41.0ms

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:

5.0ms	(/ 2.0 (* r r))
2.0ms	(pow (fabs (* w r)) 2)
8.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
16.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 2.0 (* r r))
8.0ms	(pow (fabs (* w r)) 2)
32.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
62.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify104.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	971	2431
1	4194	2156
2	5001	2156

prune625.0ms

Filtered

235 candidates to 137 candidates (58.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	227	8	235
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	236	14	250

Merged error: 0.1b

Counts

250 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1.0 v))
0.3b	(/ (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v))) (fabs (* w r)))
0.3b	(/ (cbrt (- 1.0 v)) (fabs (* w r)))
4.5b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v))) (fabs (* w r))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
38×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
25×	`cbrt-prod` `add-cbrt-cube`
16×	`cbrt-div`
13×	`cbrt-undiv` `div-exp` `associate-/r*`
12×	`associate-/l/`
10×	`associate-/l*`
9×	`flip3--` `flip--`
6×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `frac-times` `associate-*r/` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-*l/`
1×	`pow1/3` `associate-/r/`

Counts

4 → 133

Calls

4 calls:

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

series742.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- 1.0 v))
178.0ms	(/ (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v))) (fabs (* w r)))
164.0ms	(/ (cbrt (- 1.0 v)) (fabs (* w r)))
303.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v))) (fabs (* w r))))

simplify88.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	840	1828
1	3437	1620
2	5003	1599

prune537.0ms

Filtered

145 candidates to 114 candidates (78.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	145	14	159

Merged error: 0.1b

Counts

159 → 14

regimes284.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	23
1	29	23

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

17062×

body

valid