Details

Time bar (total: 5.6s)

sample375.0ms

Algorithm
intervals
Results
50.0ms576×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214
done500214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize20.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.9b
(* (* (* w w) r) r)
6.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.2b
(* (* w w) r)

rewrite477.0ms

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:
187.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
59.0ms
(* (* (* w w) r) r)
201.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
21.0ms
(* (* w w) r)

series227.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
35.0ms
(* (* (* w w) r) r)
74.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
30.0ms
(* (* w w) r)

simplify98.0ms

Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931
done5003931

prune273.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(/ 2.0 (* r r))
2.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite114.0ms

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))
41.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
53.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series144.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))
43.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
69.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify70.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05591085
12754841
25001821
done5001821

prune343.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (fabs (* w r)) 2)
0.4b
(/ 2.0 (* r r))
0.4b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.2b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
117×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
53×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
19×div-exp
17×unpow2 sqr-pow
9×cbrt-undiv associate-/l*
5×pow1 prod-exp div-inv
4×pow-to-exp pow-exp associate-/l/ add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×flip3-- associate-*r/ flip--
1×pow-pow div-sub associate-/r/
Counts
4 → 223
Calls
4 calls:
3.0ms
(pow (fabs (* w r)) 2)
8.0ms
(/ 2.0 (* r r))
21.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
33.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(pow (fabs (* w r)) 2)
24.0ms
(/ 2.0 (* r r))
37.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
67.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify101.0ms

Counts
235 → 235
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09712431
141942156
250012156
done50012156

prune686.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (fabs (* w r)))
0.3b
(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
0.4b
(/ 2.0 (* r r))
3.2b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
64×add-cbrt-cube
53×add-sqr-sqrt
46×div-exp
44×times-frac
38×*-un-lft-identity
34×prod-exp
30×add-cube-cbrt
25×cbrt-undiv
19×associate-*r*
18×cbrt-unprod
13×associate-*l*
7×pow1 rec-exp 1-exp associate-/l*
6×unswap-sqr
5×associate-/r* div-inv
4×associate-*r/ add-log-exp
3×frac-2neg clear-num associate-/r/ distribute-lft-out-- difference-of-squares
2×frac-times associate-*l/ associate-/l/
1×flip3-- pow-flip pow-prod-down *-commutative flip-- inv-pow
Counts
4 → 160
Calls
4 calls:
6.0ms
(/ 1 (fabs (* w r)))
41.0ms
(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
8.0ms
(/ 2.0 (* r r))
31.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1 (fabs (* w r)))
52.0ms
(* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r))))
25.0ms
(/ 2.0 (* r r))
69.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (* (/ 1 (fabs (* w r))) (/ (- 1.0 v) (fabs (* w r)))))

simplify100.0ms

Counts
172 → 172
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08271862
144441455
250011354
done50011354

prune404.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03117
13117
done3117

end0.0ms

sample1.4s

Algorithm
intervals
Results
878.0ms17085×body80valid