Details

Time bar (total: 10.8s)

sample319.0ms

Algorithm
intervals
Results
31.0ms568×body80valid

simplify1.8s

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: 11.6b

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.5b
(* (* (* w w) r) r)
5.1b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.4b
(* (* w w) r)

rewrite206.0ms

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))
24.0ms
(* (* (* w w) r) r)
87.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0ms
(* (* w w) r)

series219.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
36.0ms
(* (* (* w w) r) r)
69.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
29.0ms
(* (* w w) r)

simplify1.2s

Counts
131 → 131
Iterations

Useful iterations: 2 (449.0ms)

IterNodesCost
02032751
16512663
232851923
done50001923

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 2.0 (* r r))
3.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
4.5b
(* (* w (* w r)) r)
5.1b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

rewrite149.0ms

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))
57.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r))
20.0ms
(* (* w (* w r)) r)
63.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

series213.0ms

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))
31.0ms
(* (* w (* w r)) r)
70.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* w (* w r)) r)) (- 1.0 v))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: 2 (367.0ms)

IterNodesCost
02302773
17282687
235631939
done50001939

prune306.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (* w (* w r)) r) (- 1.0 v))
0.7b
(/ 2.0 (* r r))
4.5b
(* (* w (* w r)) r)
5.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
18×pow1
17×add-sqr-sqrt *-un-lft-identity
14×cbrt-undiv div-exp associate-*r*
13×times-frac
11×add-cube-cbrt
9×pow-prod-down
6×associate-/r*
5×associate-*r/
4×flip3-- associate-/r/ flip-- associate-/l* add-log-exp
3×div-inv distribute-lft-out-- difference-of-squares
2×frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative
Counts
4 → 120
Calls
4 calls:
21.0ms
(/ (* (* w (* w r)) r) (- 1.0 v))
3.0ms
(/ 2.0 (* r r))
17.0ms
(* (* w (* w r)) r)
63.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (* (* w (* w r)) r) (- 1.0 v))
27.0ms
(/ 2.0 (* r r))
32.0ms
(* (* w (* w r)) r)
72.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* w (* w r)) r) (- 1.0 v)))

simplify1.3s

Counts
132 → 132
Iterations

Useful iterations: 2 (442.0ms)

IterNodesCost
02462599
17662513
240061873
done50011873

prune360.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.7b
(/ 2.0 (* r r))
5.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite38.0ms

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:
6.0ms
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))
22.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))
62.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify915.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (339.0ms)

IterNodesCost
02152377
15872011
225071613
done50011613

prune376.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.4b 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
02542
13142
done3142

end0.0ms

sample1.3s

Algorithm
intervals
Results
900.0ms16998×body80valid