Details

Time bar (total: 18.3s)

sample436.0ms

Algorithm
intervals
Results
282.0ms541×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02229
15129
215229
365429
4344529
done500029

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize59.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.0b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.0b
(* (* (* w w) r) r)
11.2b
(* (* w w) r)

rewrite839.0ms

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:
352.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
310.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
117.0ms
(* (* (* w w) r) r)
44.0ms
(* (* w w) r)

series314.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
94.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
54.0ms
(* (* (* w w) r) r)
40.0ms
(* (* w w) r)

simplify515.0ms

Counts
131 → 131
Iterations

Useful iterations: done (506.0ms)

IterNodesCost
02032751
16782663
done50002019

prune511.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* r r))
4.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
6.0b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
6.0b
(* (* w (* w r)) r)

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
55×prod-exp cbrt-unprod
45×pow1
30×pow-prod-down
13×add-sqr-sqrt *-un-lft-identity
11×cbrt-undiv div-exp
9×add-cube-cbrt
8×times-frac
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l/ associate-/l* add-log-exp
3×flip3-- flip--
2×frac-2neg associate-*l* clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
8.0ms
(/ 2.0 (* r r))
208.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
226.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))
91.0ms
(* (* w (* w r)) r)

series337.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 2.0 (* r r))
122.0ms
(* (* 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))
60.0ms
(* (* w (* w r)) r)

simplify566.0ms

Counts
133 → 133
Iterations

Useful iterations: done (560.0ms)

IterNodesCost
02302773
17502687
done50012039

prune543.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.4b
(/ 2.0 (* r r))
5.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
6.0b
(* (* w (* w r)) r)

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log add-cbrt-cube
37×prod-exp cbrt-unprod
23×pow1
15×associate-*r*
12×add-sqr-sqrt *-un-lft-identity pow-prod-down
10×cbrt-undiv add-cube-cbrt div-exp
8×times-frac
5×associate-*r/ associate-*l*
4×add-log-exp
3×flip3-- *-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
Counts
4 → 107
Calls
4 calls:
33.0ms
(* w (* w r))
17.0ms
(/ 2.0 (* r r))
259.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
71.0ms
(* (* w (* w r)) r)

series204.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* w (* w r))
44.0ms
(/ 2.0 (* r r))
94.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))
41.0ms
(* (* w (* w r)) r)

simplify523.0ms

Counts
119 → 119
Iterations

Useful iterations: done (519.0ms)

IterNodesCost
02252122
17272057
done50001583

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v))
0.4b
(/ 2.0 (* r r))
0.4b
(* (fabs (* r w)) (fabs (* r w)))
5.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
20×*-un-lft-identity
16×pow1
14×add-cube-cbrt associate-*r* prod-exp cbrt-unprod
13×times-frac
8×cbrt-undiv div-exp
6×associate-/r*
5×associate-*r/
4×flip3-- associate-*l* pow-prod-down associate-/r/ flip-- associate-/l* add-log-exp
3×swap-sqr div-inv distribute-lft-out-- difference-of-squares
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 112
Calls
4 calls:
17.0ms
(/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v))
8.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* r w)) (fabs (* r w)))
95.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v))
35.0ms
(/ 2.0 (* r r))
16.0ms
(* (fabs (* r w)) (fabs (* r w)))
130.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* r w)) (fabs (* r w))) (- 1.0 v)))

simplify3.3s

Counts
124 → 124
Iterations

Useful iterations: 2 (667.0ms)

IterNodesCost
02172377
16522238
248101816
done50001816

prune574.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes217.0ms

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
02231
12731
done2731

end0.0ms

sample4.5s

Algorithm
intervals
Results
3.6s17008×body80valid