Details

Time bar (total: 24.5s)

sample184.0ms

Algorithm
intervals
Results
41.0ms538×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize46.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.6b
(* (* (* w w) r) r)
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.7b
(* (* w w) r)

rewrite735.0ms

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:
290.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
84.0ms
(* (* (* w w) r) r)
313.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
40.0ms
(* (* w w) r)

series358.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
52.0ms
(* (* (* w w) r) r)
108.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
36.0ms
(* (* w w) r)

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02032751
15932663
229841923
done50001915

prune453.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite162.0ms

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:
13.0ms
(/ 2.0 (* r r))
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
61.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
74.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series204.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 2.0 (* r r))
12.0ms
(* (fabs (* w r)) (fabs (* w r)))
51.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
85.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.3s

Counts
117 → 117
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01982324
15181954
221081521
done50001515

prune550.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
10.5b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
10.5b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
416×times-frac
218×add-sqr-sqrt
216×*-un-lft-identity
120×add-cube-cbrt
98×sqrt-prod
90×unpow-prod-down
88×associate-/r*
52×add-exp-log
48×distribute-lft-out-- difference-of-squares
30×unpow2 sqr-pow
28×div-exp add-cbrt-cube
12×cbrt-undiv
10×div-inv
8×prod-exp
6×pow1
4×pow-to-exp associate-*r/ pow-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
2×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num flip-- associate-/l*
Counts
4 → 348
Calls
4 calls:
65.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
64.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
58.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
51.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series920.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
128.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
363.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
339.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.8s

Counts
360 → 360
Iterations

Useful iterations: 2 (869.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune2.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (fabs (* w r)) 2)
0.4b
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (fabs (* w r)))) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))))
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
10.5b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite824.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
150×add-sqr-sqrt
149×*-un-lft-identity
98×sqrt-prod
85×add-cube-cbrt
63×unpow-prod-down
52×associate-*r*
44×associate-/r*
34×add-exp-log
32×distribute-lft-out-- difference-of-squares
21×add-cbrt-cube unpow2 sqr-pow
14×div-exp
11×pow1
7×prod-exp div-inv
6×cbrt-undiv
5×sqrt-div cbrt-unprod
4×add-log-exp
3×pow-to-exp pow-unpow associate-*r/ pow-prod-down associate-*l/ pow-exp associate-/r/
2×associate-/l/
1×frac-times rem-sqrt-square flip3-- pow-pow frac-2neg sqrt-pow1 pow1/2 associate-*l* clear-num *-commutative flip-- associate-/l*
Counts
4 → 262
Calls
4 calls:
6.0ms
(pow (fabs (* w r)) 2)
253.0ms
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (fabs (* w r)))) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))))
492.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
55.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (fabs (* w r)) 2)
301.0ms
(* (* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (fabs (fabs (* w r)))) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))))
123.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
359.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify2.6s

Counts
274 → 274
Iterations

Useful iterations: done (2.6s)

IterNodesCost
04918138
112617434
241516865
done50006822

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes351.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02635
13235
done3235

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.1s17002×body80valid