Details

Time bar (total: 21.2s)

sample148.0ms

Algorithm
intervals
Results
78.0ms542×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215229
365429
4344529
done500029

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize74.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.9b
(* (* w w) r)
8.2b
(* (* (* w w) r) r)

rewrite761.0ms

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:
292.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
319.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
38.0ms
(* (* w w) r)
99.0ms
(* (* (* w w) r) r)

series328.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
105.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
33.0ms
(* (* w w) r)
75.0ms
(* (* (* w w) r) r)

simplify3.7s

Counts
131 → 131
Iterations

Useful iterations: 2 (997.0ms)

IterNodesCost
02032751
16752663
249572017
done50002017

prune624.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.9b

localize60.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 2.0 (* r r))
6.4b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
7.9b
(* (* w w) r)
8.2b
(* (* (* w w) r) r)

rewrite273.0ms

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:
10.0ms
(/ 2.0 (* r r))
122.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
42.0ms
(* (* w w) r)
89.0ms
(* (* (* w w) r) r)

series199.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 2.0 (* r r))
102.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
21.0ms
(* (* w w) r)
46.0ms
(* (* (* w w) r) r)

simplify546.0ms

Counts
125 → 125
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
02292255
17472190
done50001702

prune813.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* w (* w r))
0.8b
(/ 2.0 (* r r))
6.4b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (pow (* w (* w r)) 1) r)))
8.2b
(* (pow (* w (* w r)) 1) r)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
37×add-cbrt-cube
35×prod-exp
28×div-exp
22×times-frac
20×add-sqr-sqrt
17×*-un-lft-identity
13×add-cube-cbrt
12×cbrt-undiv
10×pow1 associate-/r* cbrt-unprod
9×pow-exp
8×associate-*l*
4×associate-*r* pow-prod-down div-inv associate-/l* add-log-exp
3×pow-to-exp
2×frac-2neg associate-*r/ clear-num *-commutative associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
1×unpow-prod-down flip3-- associate-/r/ flip--
Counts
4 → 116
Calls
4 calls:
34.0ms
(* w (* w r))
16.0ms
(/ 2.0 (* r r))
68.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (pow (* w (* w r)) 1) r)))
27.0ms
(* (pow (* w (* w r)) 1) r)

series221.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* w (* w r))
47.0ms
(/ 2.0 (* r r))
106.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (pow (* w (* w r)) 1) r)))
39.0ms
(* (pow (* w (* w r)) 1) r)

simplify3.0s

Counts
128 → 128
Iterations

Useful iterations: 2 (975.0ms)

IterNodesCost
02442328
17432025
248791684
done50011684

prune797.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0 v) (pow (* w r) 2))
0.3b
(pow (* w r) 2)
0.8b
(/ 2.0 (* r r))
6.4b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (* w r) 2)))

rewrite554.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
82×add-sqr-sqrt *-un-lft-identity
53×add-exp-log
44×add-cube-cbrt
41×associate-/r*
24×div-exp
23×add-cbrt-cube
19×distribute-lft-out-- difference-of-squares
17×unpow-prod-down unpow2 sqr-pow
10×prod-exp
9×cbrt-undiv associate-/l*
8×pow-exp
7×pow1
5×div-inv
4×pow-to-exp associate-/l/ add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×flip3-- pow-pow associate-*r/ flip--
1×div-sub pow-prod-down associate-/r/
Counts
4 → 194
Calls
4 calls:
36.0ms
(/ (- 1.0 v) (pow (* w r) 2))
12.0ms
(pow (* w r) 2)
17.0ms
(/ 2.0 (* r r))
475.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (* w r) 2)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (- 1.0 v) (pow (* w r) 2))
50.0ms
(pow (* w r) 2)
51.0ms
(/ 2.0 (* r r))
81.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (* w r) 2)))

simplify550.0ms

Counts
206 → 206
Iterations

Useful iterations: done (540.0ms)

IterNodesCost
03143739
110033522
done50003195

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes492.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02429
13129
done3129

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.7s16935×body80valid