Details

sample356.0ms

Algorithm

intervals

Results

37.0ms

549×

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: 11.4b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.7b	(* (* (* w w) r) r)
9.9b	(* (* w w) r)

rewrite54.0ms

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))
18.0ms	(/ (* (* 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:

84.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
73.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
32.0ms	(* (* (* w w) r) r)
35.0ms	(* (* w w) r)

simplify103.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (90.0ms)

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

prune263.0ms

Filtered

131 candidates to 61 candidates (46.6%)

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: 1.4b

Counts

132 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
2.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.0b	(/ (* (* 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))

series143.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
39.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
72.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (62.0ms)

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

prune336.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	112	17	129

Merged error: 0.0b

Counts

129 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.3b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
5.5b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite44.0ms

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:

8.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
4.0ms	(/ 2.0 (* r r))
2.0ms	(pow (fabs (* w r)) 2)
18.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
23.0ms	(/ 2.0 (* r r))
8.0ms	(pow (fabs (* w r)) 2)
60.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify107.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (22.0ms)

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

prune593.0ms

Filtered

235 candidates to 137 candidates (58.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	229	6	235
Fresh	9	7	16
Picked	1	0	1
Done	0	0	0
Total	239	13	252

Merged error: 0.0b

Counts

252 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.2b	(/ (/ 2.0 r) r)
0.4b	(pow (fabs (* w r)) 2)
5.5b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 272

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
18.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
24.0ms	(/ (/ 2.0 r) r)
7.0ms	(pow (fabs (* w r)) 2)
59.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1180	2794
1	5001	2504

prune670.0ms

Filtered

284 candidates to 171 candidates (60.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	281	3	284
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	281	16	297

Merged error: 0.0b

Counts

297 → 16

regimes294.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

17183×

body

valid

Details

sample356.0ms

simplify86.0ms

prune5.0ms

localize20.0ms

rewrite54.0ms

series225.0ms

simplify103.0ms

prune263.0ms

localize20.0ms

rewrite36.0ms

series143.0ms

simplify75.0ms

prune336.0ms

localize18.0ms

rewrite44.0ms

series124.0ms

simplify107.0ms

prune593.0ms

localize19.0ms

rewrite47.0ms

series122.0ms

simplify56.0ms

prune670.0ms

regimes294.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling