Details

sample310.0ms

Algorithm

intervals

Results

38.0ms

570×

body

valid

simplify87.0ms

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: 13.0b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.5b	(* (* (* w w) r) r)
7.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0b	(* (* w w) r)

rewrite55.0ms

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:

14.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
18.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0ms	(* (* w w) r)

series222.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
32.0ms	(* (* (* w w) r) r)
78.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
26.0ms	(* (* w w) r)

simplify109.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (93.0ms)

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

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: 2.9b

Counts

132 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))
3.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite34.0ms

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))

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))

simplify77.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (65.0ms)

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

prune343.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Merged error: 0.0b

Counts

126 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
3.8b	(* (* 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)
5.0ms	(/ 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:

42.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
8.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
61.0ms	(* (* 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 (20.0ms)

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

prune549.0ms

Filtered

194 candidates to 118 candidates (60.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	186	8	194
Fresh	9	5	14
Picked	1	0	1
Done	0	0	0
Total	196	13	209

Merged error: 0.0b

Counts

209 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.4b	(pow (fabs (* w r)) 2)
3.8b	(* (* 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:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
17.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
25.0ms	(/ (/ 2.0 r) r)
8.0ms	(pow (fabs (* w r)) 2)
61.0ms	(* (* 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 (25.0ms)

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

prune620.0ms

Filtered

243 candidates to 152 candidates (62.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	242	14	256

Merged error: 0.0b

Counts

256 → 14

regimes276.0ms

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

17045×

body

valid

Details

sample310.0ms

simplify87.0ms

prune5.0ms

localize35.0ms

rewrite55.0ms

series222.0ms

simplify109.0ms

prune265.0ms

localize18.0ms

rewrite34.0ms

series136.0ms

simplify77.0ms

prune343.0ms

localize19.0ms

rewrite39.0ms

series136.0ms

simplify97.0ms

prune549.0ms

localize19.0ms

rewrite44.0ms

series135.0ms

simplify117.0ms

prune620.0ms

regimes276.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling