Details

Time bar (total: 23.4s)

sample161.0ms

Algorithm
intervals
Results
119.0ms286×body10240exit
10.0ms202×body80valid
5.0ms28×body320valid
2.0ms12×body640valid
2.0ms17×body160valid

simplify837.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
4398
3109
248
120
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.5b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
16×times-frac add-cube-cbrt
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
5×associate-/r* distribute-rgt-out distribute-rgt1-in
3×associate-*r* associate-*l* associate-/l*
2×flip3-+ flip3-- div-sub associate-/r/ flip-+ flip-- difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 87
Calls
4 calls:
9.0ms
(* wj (exp wj))
7.0ms
(+ (exp wj) (* wj (exp wj)))
57.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
52.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* wj (exp wj))
65.0ms
(+ (exp wj) (* wj (exp wj)))
57.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
80.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.7s

Counts
99 → 99
Iterations
IterNodes
done5000
21670
1415
0163

prune562.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×associate-*r* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
19.0ms
(* -2 (* x wj))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* -2 (* x wj))

simplify2.6s

Counts
21 → 21
Iterations
IterNodes
done5000
31283
2311
188
035

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize94.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
0.5b
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
2.7b
(- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
28.2b
(/ (- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))))) (+ (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (+ wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))) (* wj wj)))

rewrite800.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
29×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×add-cbrt-cube cube-unmult add-exp-log associate-/l*
9×associate-/r*
6×associate-/r/ add-log-exp associate-/l/
5×difference-cubes
4×pow1 flip3-- flip--
3×cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 113
Calls
4 calls:
47.0ms
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
42.0ms
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
130.0ms
(- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
578.0ms
(/ (- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))))) (+ (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (+ wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))) (* wj wj)))

series1.0s

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
47.0ms
(/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))
506.0ms
(- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))))
436.0ms
(/ (- (* wj (* wj wj)) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj)))))) (+ (* (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))) (+ wj (/ (- (* (exp wj) wj) x) (+ (exp wj) (* (exp wj) wj))))) (* wj wj)))

simplify2.8s

Counts
125 → 125
Iterations
IterNodes
done5000
23297
1578
0192

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize95.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (* wj (exp wj)) 3)
0.4b
(+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))
5.0b
(- wj (/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x))))))
31.5b
(/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))))

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
17×difference-of-squares
13×*-un-lft-identity times-frac associate-/l* sqr-pow
12×add-cbrt-cube
11×add-exp-log add-log-exp
8×associate-/r/
7×pow1 flip3-+ add-cube-cbrt flip-+
5×unpow-prod-down cube-prod
4×frac-times
3×pow-unpow sum-log distribute-lft-out--
2×difference-cubes cbrt-undiv pow-pow flip3-- div-sub div-exp associate-*l/ pow-exp prod-exp associate-*r/ cbrt-unprod flip-- rem-cube-cbrt associate-/l/
1×cube-mult pow-to-exp +-commutative associate-+r+ clear-num associate-/r* sub-neg frac-2neg diff-log unpow3 pow-prod-down div-inv associate--r-
Counts
4 → 102
Calls
4 calls:
14.0ms
(pow (* wj (exp wj)) 3)
64.0ms
(+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))
155.0ms
(- wj (/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x))))))
195.0ms
(/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(pow (* wj (exp wj)) 3)
54.0ms
(+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))
154.0ms
(- wj (/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x))))))
131.0ms
(/ (- (pow (* wj (exp wj)) 3) (pow x 3)) (* (+ (exp wj) (* wj (exp wj))) (+ (* (* wj (exp wj)) (* wj (exp wj))) (+ (* x x) (* (* wj (exp wj)) x)))))

simplify3.4s

Counts
114 → 114
Iterations
IterNodes
done5002
24766
1715
0224

prune693.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes132.0ms

Accuracy

0% (1.3b remaining)

Error of 2.1b against oracle of 0.8b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample6.1s

Algorithm
intervals
Results
4.5s7750×body10240exit
805.0ms6220×body80valid
147.0ms836×body320valid
125.0ms465×body640valid
67.0ms548×body160valid