Details

Time bar (total: 20.3s)

sample220.0ms

Algorithm
intervals
Results
173.0ms248×body10240exit
17.0ms212×body80valid
7.0ms23×body320valid
5.0ms9×body640valid
2.0ms15×body160valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
62000
5796
4188
3102
248
120
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.5b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt
16×times-frac
10×add-cbrt-cube
8×pow1 add-exp-log
6×associate-*r* associate-*l* add-log-exp
5×associate-/r*
4×distribute-rgt-out distribute-rgt1-in insert-posit16
3×associate-/l*
2×flip3-- div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp flip-+ div-inv distribute-lft-out-- associate--r-
Counts
4 → 96
Calls
4 calls:
12.0ms
(* wj (exp wj))
8.0ms
(* wj (exp wj))
36.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
35.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* wj (exp wj))
53.0ms
(* wj (exp wj))
72.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
84.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done2007
32007
21212
1386
0153

prune870.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (* 2 x) wj))
0.0b
(+ (- x (* (* 2 x) wj)) (* wj wj))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×add-sqr-sqrt pow1 associate-+l+ sum-log sub-neg *-un-lft-identity add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16
1×+-commutative flip3-+ flip3-- associate-+l- flip-+ flip--
Counts
2 → 29
Calls
2 calls:
11.0ms
(- x (* (* 2 x) wj))
28.0ms
(+ (- x (* (* 2 x) wj)) (* wj wj))

series131.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(- x (* (* 2 x) wj))
50.0ms
(+ (- x (* (* 2 x) wj)) (* wj wj))

simplify965.0ms

Counts
35 → 35
Iterations
IterNodes
done2002
32002
2667
1178
061

prune210.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))) (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))))
0.8b
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
0.8b
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
0.8b
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
93.0ms
(* (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))) (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))))
12.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
9.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
9.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))

series1.5s

Counts
4 → 12
Calls
4 calls:
414.0ms
(* (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))) (cbrt (+ (- x (* (* 2 x) wj)) (* wj wj))))
359.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
351.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))
352.0ms
(cbrt (+ (- x (* (* 2 x) wj)) (* wj wj)))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done2003
32003
2821
1330
0142

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.5b
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
3.8b
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
13×add-cbrt-cube
10×add-exp-log add-cube-cbrt
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×associate-/r* times-frac
4×insert-posit16
3×prod-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-out div-exp pow-prod-down distribute-rgt1-in associate-/r/ *-commutative unswap-sqr
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log flip-+ div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
9.0ms
(* wj (exp wj))
8.0ms
(* wj (exp wj))
20.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
15.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* wj (exp wj))
39.0ms
(* wj (exp wj))
44.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
67.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify987.0ms

Counts
93 → 93
Iterations
IterNodes
done2009
32009
21009
1308
0119

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample8.4s

Algorithm
intervals
Results
6.7s7646×body10240exit
662.0ms6271×body80valid
284.0ms800×body320valid
212.0ms487×body640valid
131.0ms523×body160valid