Details

sample304.0ms

Algorithm

intervals

Results

37.0ms

543×

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

prune6.0ms

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: 11.3b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.1b	(* (* (* w w) r) r)
10.7b	(* (* 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)
9.0ms	(* (* w w) r)

series223.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
70.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
41.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify108.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (94.0ms)

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

prune254.0ms

Filtered

131 candidates to 61 candidates (46.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 2.8b

Counts

132 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
2.8b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.5b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite33.0ms

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)))
5.0ms	(/ 2.0 (* r 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))

series136.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (fabs (* w r)) (fabs (* w r)))
27.0ms	(/ 2.0 (* r r))
39.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
62.0ms	(/ (* (* 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 (62.0ms)

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

prune320.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	108	9	117
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	114	11	125

Merged error: 0.3b

Counts

125 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
0.6b	(/ 2.0 (* r r))
4.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite40.0ms

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))
19.0ms	(* (* 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))
8.0ms	(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)))

simplify97.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	788	1794
1	3601	1581
2	5002	1581

prune532.0ms

Filtered

194 candidates to 118 candidates (60.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	185	9	194
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	193	12	205

Merged error: 0.0b

Counts

205 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.3b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
4.5b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite44.0ms

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:

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

series136.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (/ 2.0 r) r)
41.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
8.0ms	(pow (fabs (* w r)) 2)
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify116.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	998	2157
1	4526	1925
2	5002	1925

prune604.0ms

Filtered

243 candidates to 152 candidates (62.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	241	2	243
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	242	13	255

Merged error: 0.0b

Counts

255 → 13

regimes259.0ms

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	28	14
1	28	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

17017×

body

valid