Details

Time bar (total: 25.7s)

sample352.0ms

Algorithm
intervals
Results
177.0ms545×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.3b
(* (* (* w w) r) r)
11.8b
(* (* w w) r)

rewrite808.0ms

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:
313.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
317.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
130.0ms
(* (* (* w w) r) r)
32.0ms
(* (* w w) r)

series359.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
123.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
42.0ms
(* (* (* w w) r) r)
45.0ms
(* (* w w) r)

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02032751
15932663
229741923
done50011915

prune869.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite176.0ms

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:
16.0ms
(/ 2.0 (* r r))
14.0ms
(* (fabs (* w r)) (fabs (* w r)))
53.0ms
(* (* 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))

series228.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 2.0 (* r r))
9.0ms
(* (fabs (* w r)) (fabs (* w r)))
66.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
110.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.2s

Counts
117 → 117
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01982324
15181954
221081521
done50001515

prune530.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite255.0ms

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:
63.0ms
(/ (* 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)))
45.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
50.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series946.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
119.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
344.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
368.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.7s

Counts
360 → 360
Iterations

Useful iterations: 2 (767.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
8.0b
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
11.3b
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
11.3b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
325×times-frac
191×add-sqr-sqrt
190×*-un-lft-identity
118×add-cube-cbrt
63×associate-/r*
50×sqrt-prod
45×unpow-prod-down
36×distribute-lft-out-- difference-of-squares
33×add-exp-log
21×add-cbrt-cube
17×div-exp
15×unpow2 sqr-pow
11×pow1
10×div-inv
9×cbrt-undiv
4×sqrt-pow1 prod-exp associate-/l/ associate-/l* add-log-exp
3×associate-*r/ pow-prod-down associate-/r/
2×pow-to-exp flip3-- frac-2neg pow1/2 sqrt-div pow-exp clear-num flip-- cbrt-unprod
1×rem-sqrt-square div-sub
Counts
4 → 284
Calls
4 calls:
60.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
53.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
28.0ms
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
36.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
85.0ms
(/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))
312.0ms
(sqrt (* (* 0.125 (fabs (* w r))) (/ (- 3.0 (* 2.0 v)) (/ (- 1.0 v) (fabs (* w r))))))
344.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify3.1s

Counts
296 → 296
Iterations

Useful iterations: 2 (1.8s)

IterNodesCost
05628268
114507642
249017095
done50007095

prune2.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03158
14058
done4058

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.1s17198×body80valid