Details

Time bar (total: 12.1s)

sample304.0ms

Algorithm
intervals
Results
31.0ms577×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215029
357629
4256129
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.2b
(* (* (* w w) r) r)
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.8b
(* (* w w) r)

rewrite227.0ms

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:
86.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
28.0ms
(* (* (* w w) r) r)
95.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series216.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
32.0ms
(* (* (* w w) r) r)
74.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
26.0ms
(* (* w w) r)

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: 2 (500.0ms)

IterNodesCost
02032751
16552663
232911923
done50001923

prune279.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 2.0 (* r r))
4.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
4.2b
(* (* w (* w r)) r)
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite162.0ms

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:
3.0ms
(/ 2.0 (* r r))
65.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
19.0ms
(* (* w (* w r)) r)
68.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series212.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 2.0 (* r r))
83.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
30.0ms
(* (* w (* w r)) r)
70.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify1.4s

Counts
133 → 133
Iterations

Useful iterations: 2 (407.0ms)

IterNodesCost
02302773
17282687
236671939
done50001939

prune319.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.7b
(/ 2.0 (* r r))
4.2b
(* (* w (* w r)) r)
4.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

rewrite103.0ms

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:
6.0ms
(* w (* w r))
3.0ms
(/ 2.0 (* r r))
19.0ms
(* (* w (* w r)) r)
69.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* w (* w r))
23.0ms
(/ 2.0 (* r r))
31.0ms
(* (* w (* w r)) r)
72.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

simplify1.4s

Counts
119 → 119
Iterations

Useful iterations: 2 (409.0ms)

IterNodesCost
02252122
17032057
236131511
done50001511

prune318.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (* (* w r) (* w r)) 1) (- 1.0 v))
0.4b
(* (* w r) (* w r))
0.7b
(/ 2.0 (* r r))
4.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (* (* w r) (* w r)) 1) (- 1.0 v)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
57×prod-exp
53×times-frac
51×add-sqr-sqrt *-un-lft-identity
48×pow1
35×add-cbrt-cube
32×associate-*r*
29×add-cube-cbrt
23×div-exp
20×pow-prod-down
15×pow-exp cbrt-unprod
11×unpow-prod-down distribute-lft-out-- difference-of-squares sqr-pow
8×associate-/l*
6×associate-/r*
5×cbrt-undiv associate-*r/
4×flip3-- associate-/r/ pow-sqr pow-prod-up flip-- add-log-exp
3×pow-to-exp div-inv
2×frac-times frac-2neg pow-plus associate-*l* associate-*l/ clear-num *-commutative
1×pow2 swap-sqr
Counts
4 → 177
Calls
4 calls:
9.0ms
(/ (pow (* (* w r) (* w r)) 1) (- 1.0 v))
14.0ms
(* (* w r) (* w r))
3.0ms
(/ 2.0 (* r r))
26.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (* (* w r) (* w r)) 1) (- 1.0 v)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (pow (* (* w r) (* w r)) 1) (- 1.0 v))
32.0ms
(* (* w r) (* w r))
24.0ms
(/ 2.0 (* r r))
74.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (* (* w r) (* w r)) 1) (- 1.0 v)))

simplify1.4s

Counts
189 → 189
Iterations

Useful iterations: 2 (573.0ms)

IterNodesCost
02943703
18193089
238692433
done50002433

prune537.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes173.0ms

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: done (2.0ms)

IterNodesCost
02331
13031
done3029

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s17383×body80valid