Details

sample361.0ms

Algorithm

intervals

Results

40.0ms

573×

body

valid

simplify84.0ms

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: 12.4b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* 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))
5.0b	(* (* (* w w) r) r)
10.6b	(* (* 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:

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)

series223.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* 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))
32.0ms	(* (* (* w w) r) r)
36.0ms	(* (* 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

prune251.0ms

Filtered

131 candidates to 61 candidates (46.6%)

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: 1.7b

Counts

132 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
3.2b	(* (* 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))

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:

3.0ms	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
12.0ms	(* (* 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))

series132.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))
43.0ms	(* (* 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))

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

prune329.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	110	7	117
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	113	11	124

Merged error: 0.0b

Counts

124 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.3b	(pow (fabs (* w r)) 2)
0.5b	(/ 2.0 (* r r))
4.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`prod-exp`
12×	`unpow2` `sqr-pow`
11×	`div-exp` `associate-/l*`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
7.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify95.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	788	1794
1	3591	1581
2	5003	1581

prune532.0ms

Filtered

194 candidates to 118 candidates (60.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	195	10	205

Merged error: 0.0b

Counts

205 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(pow (fabs (* w r)) 2)
4.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
122×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
21×	`associate-/l*`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`div-exp` `prod-exp` `unpow2` `sqr-pow`
10×	`pow1`
8×	`associate-/r*`
7×	`div-inv`
6×	`cbrt-undiv` `cbrt-unprod`
5×	`associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 231

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
20.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
24.0ms	(/ (/ 2.0 r) r)
8.0ms	(pow (fabs (* w r)) 2)
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify117.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	998	2157
1	4526	1925
2	5001	1925

prune613.0ms

Filtered

243 candidates to 151 candidates (62.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	243	10	253

Merged error: 0.0b

Counts

253 → 10

regimes224.0ms

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	28	14
1	28	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

17441×

body

valid

Details

sample361.0ms

simplify84.0ms

prune5.0ms

localize19.0ms

rewrite52.0ms

series223.0ms

simplify103.0ms

prune251.0ms

localize17.0ms

rewrite37.0ms

series132.0ms

simplify73.0ms

prune329.0ms

localize18.0ms

rewrite39.0ms

series136.0ms

simplify95.0ms

prune532.0ms

localize17.0ms

rewrite46.0ms

series132.0ms

simplify117.0ms

prune613.0ms

regimes224.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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