Details

Time bar (total: 13.6s)

sample390.0ms

Algorithm
intervals
Results
51.0ms546×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b
(* (* (* w w) r) r)
6.0b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.8b
(* (* w w) r)

rewrite440.0ms

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:
175.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
54.0ms
(* (* (* w w) r) r)
183.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
20.0ms
(* (* w w) r)

series224.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* 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))
27.0ms
(* (* w w) r)

simplify1.2s

Counts
131 → 131
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02032751
15932663
229841923
done50001915

prune283.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
3.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.0b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite105.0ms

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)))
8.0ms
(/ 2.0 (* r r))
38.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
49.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series143.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))
45.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
64.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify857.0ms

Counts
117 → 117
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
01982324
15171954
221211521
done50001515

prune337.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))
12.4b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
12.4b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite133.0ms

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:
32.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
30.0ms
(/ (* 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))))
24.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
68.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
244.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))
251.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.1s

Counts
360 → 360
Iterations

Useful iterations: 2 (506.0ms)

IterNodesCost
038910156
19769380
229988574
done50018574

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (fabs (fabs (* w r)))))
3.9b
(sqrt (* (fabs (fabs (* w r))) 0.125))
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
12.4b
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
111×add-sqr-sqrt
110×*-un-lft-identity
62×add-cube-cbrt
51×sqrt-prod
45×unpow-prod-down
44×associate-/r*
28×add-exp-log
24×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube
15×unpow2 sqr-pow
14×div-exp
11×pow1
6×cbrt-undiv
5×sqrt-pow1 div-inv
4×prod-exp add-log-exp
3×pow1/2
2×pow-to-exp sqrt-div associate-*r/ pow-prod-down pow-exp associate-/r/ cbrt-unprod associate-/l/
1×rem-sqrt-square flip3-- frac-2neg associate-*l/ clear-num flip-- associate-/l*
Counts
4 → 197
Calls
4 calls:
11.0ms
(sqrt (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (fabs (fabs (* w r)))))
3.0ms
(sqrt (* (fabs (fabs (* w r))) 0.125))
34.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
25.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(sqrt (* (/ (- 3.0 (* 2.0 v)) (- 1.0 v)) (fabs (fabs (* w r)))))
36.0ms
(sqrt (* (fabs (fabs (* w r))) 0.125))
68.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))
250.0ms
(sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2))))

simplify1.3s

Counts
209 → 209
Iterations

Useful iterations: 2 (580.0ms)

IterNodesCost
04405600
110925176
233554714
done50004714

prune974.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02549
12949
done2949

end0.0ms

sample1.4s

Algorithm
intervals
Results
943.0ms17113×body80valid