Details

Time bar (total: 10.0s)

sample299.0ms

Algorithm
intervals
Results
29.0ms551×body80valid

simplify848.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215029
358029
4260729
done500029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize19.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0b
(* (* (* w w) r) r)
7.4b
(* (* w w) r)

rewrite211.0ms

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:
79.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
85.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
29.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series212.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
73.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
32.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
02032751
16612663
236601923
done50001923

prune290.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 2.0 (* r r))
7.0b
(* (* (* w w) r) r)
7.2b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
7.4b
(* (* w w) r)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
22×times-frac
20×cbrt-undiv div-exp
18×pow1
17×add-sqr-sqrt
16×*-un-lft-identity
12×add-cube-cbrt
10×associate-/r*
9×pow-prod-down
6×associate-*r*
4×div-inv associate-/l* add-log-exp
2×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/ distribute-lft-out-- difference-of-squares
1×flip3-- associate-/r/ flip-- unswap-sqr
Counts
4 → 113
Calls
4 calls:
3.0ms
(/ 2.0 (* r r))
24.0ms
(* (* (* w w) r) r)
35.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
9.0ms
(* (* w w) r)

series147.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 2.0 (* r r))
34.0ms
(* (* (* w w) r) r)
67.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
22.0ms
(* (* w w) r)

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
02292255
17192182
238101636
done50001636

prune325.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.9b
(/ 2.0 (* r r))
7.0b
(* (* w (* w r)) r)
7.2b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log add-cbrt-cube
25×prod-exp cbrt-unprod
22×times-frac
20×cbrt-undiv div-exp
19×add-sqr-sqrt
17×*-un-lft-identity
15×pow1
13×add-cube-cbrt
10×associate-/r*
7×pow-prod-down
6×associate-*r*
4×associate-*r/ associate-*l* div-inv associate-/l* add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num *-commutative flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×associate-/r/ unswap-sqr
Counts
4 → 118
Calls
4 calls:
7.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms
(/ 2.0 (* r r))
17.0ms
(* (* w (* w r)) r)
28.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
23.0ms
(/ 2.0 (* r r))
33.0ms
(* (* w (* w r)) r)
70.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

simplify1.4s

Counts
130 → 130
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
02502353
17752282
242671734
done50001734

prune353.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.9b
(/ 2.0 (* r r))
7.2b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
16×add-cube-cbrt
13×pow1
12×cbrt-undiv div-exp
10×associate-/r*
8×prod-exp cbrt-unprod
6×associate-*r* associate-*l*
4×associate-*r/ div-inv associate-/l* add-log-exp
3×swap-sqr
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative flip-- associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×pow2 pow-plus associate-/r/ pow-sqr pow-prod-up
Counts
4 → 114
Calls
4 calls:
7.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))
12.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
13.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))
57.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

simplify909.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
02232188
16141901
229631540
done50001540

prune363.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
12731
done2731

end0.0ms

sample1.2s

Algorithm
intervals
Results
891.0ms16980×body80valid