Details

Time bar (total: 10.5s)

sample308.0ms

Algorithm
intervals
Results
31.0ms563×body80valid

simplify987.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215029
357629
4256129
done500029

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (* w w) r) r)
5.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.3b
(* (* 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:
24.0ms
(* (* (* w w) r) r)
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
88.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series211.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* (* w w) r) r)
82.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
72.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms
(* (* w w) r)

simplify1.2s

Counts
131 → 131
Iterations

Useful iterations: 2 (351.0ms)

IterNodesCost
02032751
16512663
233041923
done50001923

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* r r))
2.7b
(* (* w (* w r)) r)
5.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
6.4b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite154.0ms

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))
18.0ms
(* (* w (* w r)) r)
59.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
66.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series206.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 2.0 (* r r))
33.0ms
(* (* w (* w r)) r)
82.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
67.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: 2 (342.0ms)

IterNodesCost
02302773
17282687
236071939
done50001939

prune296.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (* (* w (* w r)) r))
0.2b
(/ 2.0 (* r r))
2.7b
(* (* w (* w r)) r)
4.7b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
30×prod-exp cbrt-unprod
27×times-frac
24×cbrt-undiv div-exp
21×add-sqr-sqrt *-un-lft-identity
13×pow1 add-cube-cbrt
11×associate-/r*
9×associate-/l*
6×pow-prod-down
5×div-inv
4×associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×frac-2neg associate-*r* clear-num
2×flip3-- associate-*r/ flip--
1×div-sub associate-*l* associate-/r/ *-commutative
Counts
4 → 126
Calls
4 calls:
23.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
3.0ms
(/ 2.0 (* r r))
19.0ms
(* (* w (* w r)) r)
28.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
24.0ms
(/ 2.0 (* r r))
31.0ms
(* (* w (* w r)) r)
70.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

simplify1.2s

Counts
138 → 138
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
02442700
17622620
239291960
done50011960

prune365.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 r) r)
0.2b
(/ (- 1.0 v) (* (* w (* w r)) r))
2.7b
(* (* w (* w r)) r)
4.7b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
77×add-exp-log add-cbrt-cube
61×add-sqr-sqrt *-un-lft-identity
53×add-cube-cbrt
29×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
19×associate-/l*
13×pow1 associate-/r*
9×div-inv
6×pow-prod-down
5×associate-/l/
4×distribute-lft-out-- add-log-exp difference-of-squares
3×frac-2neg associate-*r* clear-num
2×flip3-- associate-*r/ flip--
1×div-sub associate-*l* associate-/r/ *-commutative
Counts
4 → 175
Calls
4 calls:
6.0ms
(/ (/ 2.0 r) r)
23.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
18.0ms
(* (* w (* w r)) r)
28.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (/ 2.0 r) r)
51.0ms
(/ (- 1.0 v) (* (* w (* w r)) r))
36.0ms
(* (* w (* w r)) r)
66.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* w (* w r)) r)))

simplify1.5s

Counts
187 → 187
Iterations

Useful iterations: 2 (598.0ms)

IterNodesCost
03383377
19753251
245752565
done50002565

prune497.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
12631
done2631

end0.0ms

sample1.2s

Algorithm
intervals
Results
888.0ms17132×body80valid