Details

sample304.0ms

Algorithm

intervals

Results

42.0ms

592×

body

valid

simplify83.0ms

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: 12.5b

Counts

2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.8b	(* (* (* w w) r) r)
10.8b	(* (* 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))
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)

series220.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
72.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
39.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify110.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (93.0ms)

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

prune269.0ms

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: 2.5b

Counts

132 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.7b	(/ 2.0 (* r r))
3.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite37.0ms

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	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
9.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
14.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series131.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
42.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
57.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify74.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (63.0ms)

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

prune335.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	106	11	117
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	112	14	126

Merged error: 0.0b

Counts

126 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.3b	(pow (fabs (* w r)) 2)
0.7b	(/ 2.0 (* r r))
4.4b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
82×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
48×	`add-cube-cbrt`
45×	`associate-/r*`
36×	`add-exp-log`
33×	`unpow-prod-down`
23×	`add-cbrt-cube`
16×	`div-exp` `distribute-lft-out--` `difference-of-squares`
11×	`unpow2` `sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
6×	`prod-exp`
4×	`associate-r/` `cbrt-unprod` `div-inv` `associate-/l` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-r` `associate-l` `pow-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `flip--` `associate-/l/`
1×	`pow-pow` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

5.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
7.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
60.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify101.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	981	1829
1	4302	1614
2	5002	1614

prune509.0ms

Filtered

189 candidates to 112 candidates (59.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	180	9	189
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	190	13	203

Merged error: 0.0b

Counts

203 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.3b	(pow (fabs (* w r)) 2)
0.7b	(/ 2.0 (* r r))
4.4b	(/ (- 0.375 (* 0.25 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

335×	`times-frac`
232×	`add-sqr-sqrt` `*-un-lft-identity`
150×	`add-cube-cbrt`
81×	`unpow-prod-down`
53×	`associate-/r*`
41×	`distribute-lft-out--` `difference-of-squares`
27×	`unpow2` `sqr-pow`
25×	`add-exp-log`
16×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `frac-2neg` `pow-exp` `clear-num`
2×	`flip3--` `div-sub` `flip--`
1×	`pow-pow` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 308

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))
17.0ms	(/ (- 0.375 (* 0.25 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
8.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
59.0ms	(/ (- 0.375 (* 0.25 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify72.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1260	4209
1	5001	3868

prune767.0ms

Filtered

320 candidates to 184 candidates (57.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	313	7	320
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	321	12	333

Merged error: 0.0b

Counts

333 → 12

regimes239.0ms

Accuracy

0% (0.3b 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	31	14
1	31	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

17217×

body

valid