Details

Time bar (total: 24.5s)

sample480.0ms

Algorithm
intervals
Results
244.0ms551×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.7b
(* (* (* w w) r) r)
9.2b
(* (* w w) r)

rewrite685.0ms

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:
272.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
283.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
84.0ms
(* (* (* w w) r) r)
38.0ms
(* (* w w) r)

series291.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
99.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
35.0ms
(* (* (* w w) r) r)
40.0ms
(* (* w w) r)

simplify1.9s

Counts
131 → 131
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02032751
15932663
229741923
done50011915

prune464.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
3.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite201.0ms

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:
14.0ms
(* (fabs (* w r)) (fabs (* w r)))
17.0ms
(/ 2.0 (* r r))
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
81.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series201.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (fabs (* w r)) (fabs (* w r)))
36.0ms
(/ 2.0 (* r r))
59.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
95.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.1s

Counts
117 → 117
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01982324
15171954
221211521
done50001515

prune636.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
3.1b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
11.2b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
11.2b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite190.0ms

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:
51.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
39.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
41.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
26.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series976.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* 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)))
396.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
360.0ms
(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 (857.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune2.5s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
3.1b
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
11.2b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
11.3b
(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite670.0ms

Algorithm
rewrite-expression-head
Rules
761×times-frac
459×add-sqr-sqrt
445×*-un-lft-identity
285×add-cube-cbrt
186×sqrt-prod
151×unpow-prod-down
88×associate-/r*
80×distribute-lft-out-- difference-of-squares
51×unpow2 sqr-pow
38×add-exp-log
21×div-exp add-cbrt-cube
14×div-inv
9×cbrt-undiv
7×rem-sqrt-square
6×pow1
4×prod-exp associate-/r/ associate-/l/ associate-/l* add-log-exp
3×pow-to-exp pow-exp
2×flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-*r/ clear-num flip-- cbrt-unprod
1×div-sub
Counts
4 → 526
Calls
4 calls:
62.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
66.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
449.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
38.0ms
(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
88.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
354.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
299.0ms
(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.4s

Counts
538 → 538
Iterations

Useful iterations: done (1.3s)

IterNodesCost
080617145
1180415908
done500114717

prune3.3s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes435.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02549
12949
done2949

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.9s16985×body80valid