Details

Time bar (total: 25.2s)

sample250.0ms

Algorithm
intervals
Results
84.0ms551×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize49.0ms

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)

rewrite729.0ms

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:
285.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
330.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
85.0ms
(* (* (* w w) r) r)
22.0ms
(* (* w w) r)

series327.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
108.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
44.0ms
(* (* (* w w) r) r)
44.0ms
(* (* w w) r)

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02032751
15932663
229741923
done50011915

prune526.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.0b

localize22.0ms

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))

rewrite165.0ms

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:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
16.0ms
(/ 2.0 (* r r))
77.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
60.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series226.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (fabs (* w r)) (fabs (* w r)))
49.0ms
(/ 2.0 (* r r))
68.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
92.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01982324
15171954
221211521
done50001515

prune668.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))))

rewrite213.0ms

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:
42.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
46.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
30.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
45.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series960.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
112.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
376.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
362.0ms
(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 (821.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune2.6s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))))

rewrite268.0ms

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:
52.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
55.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
34.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
68.0ms
(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series1.3s

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
120.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
781.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
288.0ms
(sqrt (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.3s

Counts
538 → 538
Iterations

Useful iterations: done (1.2s)

IterNodesCost
080617145
1180415908
done500114717

prune3.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes457.0ms

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

sample3.4s

Algorithm
intervals
Results
2.6s16985×body80valid