Details

Time bar (total: 16.9s)

sample191.0ms

Algorithm
intervals
Results
146.0ms237×body10240exit
15.0ms201×body80valid
7.0ms27×body320valid
5.0ms15×body640valid
3.0ms19×body160valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.3b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite107.0ms

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:
9.0ms
(* wj (exp wj))
10.0ms
(* wj (exp wj))
27.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
60.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* wj (exp wj))
52.0ms
(* wj (exp wj))
76.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
60.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done2007
32007
21212
1386
0153

prune510.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- x (* (* 2 x) wj)) (* wj wj))
0.2b
(* (* 2 x) wj)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-+l+ sum-log insert-posit16
1×+-commutative sub-neg flip3-+ diff-log associate-*l* *-commutative associate-+l- flip-+
Counts
2 → 35
Calls
2 calls:
39.0ms
(+ (- x (* (* 2 x) wj)) (* wj wj))
28.0ms
(* (* 2 x) wj)

series83.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (- x (* (* 2 x) wj)) (* wj wj))
37.0ms
(* (* 2 x) wj)

simplify965.0ms

Counts
41 → 41
Iterations
IterNodes
done2022
32022
2799
1218
075

prune148.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
2×associate-+r+ sum-log sub-neg diff-log
1×+-commutative associate-+r- flip3-+ flip3-- associate-*r* *-commutative flip-+ flip-- distribute-lft-out
Counts
3 → 49
Calls
3 calls:
8.0ms
(- (* wj wj) (* 2 (* wj x)))
11.0ms
(+ x (- (* wj wj) (* 2 (* wj x))))
13.0ms
(* 2 (* wj x))

series139.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* wj wj) (* 2 (* wj x)))
47.0ms
(+ x (- (* wj wj) (* 2 (* wj x))))
38.0ms
(* 2 (* wj x))

simplify1.0s

Counts
58 → 58
Iterations
IterNodes
done2011
32011
2883
1239
087

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* wj (exp wj)) x))
0.5b
(cbrt (- (* wj (exp wj)) x))
0.6b
(* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj)))))
11.5b
(- wj (* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj))))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r*
32×times-frac
29×*-un-lft-identity
28×add-sqr-sqrt cbrt-div
23×add-cube-cbrt
22×cbrt-prod
16×frac-times add-exp-log
15×flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×distribute-rgt-out distribute-rgt1-in prod-exp cbrt-unprod add-log-exp
5×associate-*r/
4×insert-posit16
3×pow-prod-down unswap-sqr
2×cbrt-undiv pow1/3 div-exp associate-/r/
1×sub-neg flip3-+ diff-log associate-*l* *-commutative flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
14.0ms
(cbrt (- (* wj (exp wj)) x))
13.0ms
(cbrt (- (* wj (exp wj)) x))
236.0ms
(* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj)))))
8.0ms
(- wj (* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj))))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (- (* wj (exp wj)) x))
328.0ms
(cbrt (- (* wj (exp wj)) x))
66.0ms
(* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj)))))
89.0ms
(- wj (* (* (cbrt (- (* wj (exp wj)) x)) (cbrt (- (* wj (exp wj)) x))) (/ (cbrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj))))))

simplify916.0ms

Counts
129 → 129
Iterations
IterNodes
done2004
22004
1746
0243

prune529.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.4b

regimes123.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample7.9s

Algorithm
intervals
Results
6.3s7585×body10240exit
612.0ms6251×body80valid
272.0ms788×body320valid
257.0ms463×body640valid
98.0ms565×body160valid