Details

Time bar (total: 18.0s)

sample203.0ms

Algorithm
intervals
Results
46.0ms532×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02229
15129
215229
365429
4344529
done500029

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize51.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.9b
(* (* (* w w) r) r)
8.3b
(* (* w w) r)
8.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

rewrite747.0ms

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:
275.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
88.0ms
(* (* (* w w) r) r)
23.0ms
(* (* w w) r)
352.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

series315.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
58.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)
96.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

simplify3.6s

Counts
131 → 131
Iterations

Useful iterations: 2 (923.0ms)

IterNodesCost
02032751
16732663
248452027
done50002027

prune491.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* r r))
4.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
6.9b
(* (* (* w w) r) r)
8.3b
(* (* w w) r)

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
23×pow1
17×associate-*r*
13×add-sqr-sqrt
12×*-un-lft-identity pow-prod-down
10×cbrt-undiv add-cube-cbrt div-exp
8×times-frac
5×associate-*r/
4×add-log-exp
3×flip3-- associate-*l* *-commutative flip-- associate-/l*
2×frac-times associate-*l/ associate-/r/ div-inv
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 108
Calls
4 calls:
10.0ms
(/ 2.0 (* r r))
269.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
78.0ms
(* (* (* w w) r) r)
27.0ms
(* (* w w) r)

series256.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ 2.0 (* r r))
117.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
56.0ms
(* (* (* w w) r) r)
34.0ms
(* (* w w) r)

simplify452.0ms

Counts
120 → 120
Iterations

Useful iterations: done (445.0ms)

IterNodesCost
02242131
17332064
done50001580

prune537.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(/ 2.0 (* r r))
4.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
6.9b
(* (* w (* w r)) r)

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log add-cbrt-cube
35×prod-exp cbrt-unprod
20×pow1
17×associate-*r*
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×cbrt-undiv div-exp pow-prod-down
8×times-frac
7×associate-*r/
5×associate-*l*
4×flip3-- flip-- add-log-exp
3×*-commutative associate-/l*
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ associate-/r/ div-inv
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 113
Calls
4 calls:
18.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms
(/ 2.0 (* r r))
223.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
68.0ms
(* (* w (* w r)) r)

series261.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
30.0ms
(/ 2.0 (* r r))
107.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
37.0ms
(* (* w (* w r)) r)

simplify597.0ms

Counts
125 → 125
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
02382229
17592164
done50001698

prune691.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(/ 2.0 (* r r))
0.4b
(* (* w r) (* w r))
4.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log add-cbrt-cube
50×pow1
44×prod-exp cbrt-unprod
21×pow-prod-down
15×associate-*r*
14×add-sqr-sqrt
12×cbrt-undiv *-un-lft-identity div-exp
10×add-cube-cbrt
8×times-frac
7×associate-*r/
5×associate-*l*
4×flip3-- pow-sqr pow-prod-up flip-- add-log-exp
3×*-commutative associate-/l*
2×distribute-rgt-in frac-times sub-neg distribute-lft-in pow-plus associate-*l/ associate-/r/ div-inv
1×pow2 frac-2neg swap-sqr clear-num associate-/r* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 130
Calls
4 calls:
19.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
9.0ms
(/ 2.0 (* r r))
54.0ms
(* (* w r) (* w r))
158.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
55.0ms
(/ 2.0 (* r r))
57.0ms
(* (* w r) (* w r))
116.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w r) (* w r)) (- 1.0 v)))

simplify510.0ms

Counts
142 → 142
Iterations

Useful iterations: done (504.0ms)

IterNodesCost
02342441
17762329
done50001789

prune580.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02127
12527
done2527

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.4s17176×body80valid