Details

Time bar (total: 20.5s)

sample139.0ms

Algorithm
intervals
Results
94.0ms253×body10240exit
11.0ms209×body80valid
4.0ms19×body640valid
2.0ms16×body320valid
2.0ms16×body160valid

simplify544.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
5.0b
(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
89×times-frac
85×*-un-lft-identity
30×difference-of-squares
19×add-cube-cbrt
13×distribute-lft-out
11×associate-/l*
10×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l/
2×pow1 flip3-+ div-sub associate-/r/ flip-+
1×cbrt-undiv +-commutative clear-num associate-+r- sum-log frac-2neg flip3-- div-exp frac-sub div-inv flip--
Counts
2 → 90
Calls
2 calls:
140.0ms
(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
170.0ms
(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj))
86.0ms
(+ wj (/ (- (/ x (exp wj)) (/ wj 1)) (+ 1 wj)))

simplify830.0ms

Counts
96 → 96
Iterations
IterNodes
done5000
21669
1443
0173

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity
2×associate-+r+ sum-log
1×add-sqr-sqrt pow1 +-commutative associate-+r- sub-neg flip3-+ add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-+ distribute-lft-out
Counts
1 → 16
Calls
1 calls:
49.0ms
(+ x (- (pow wj 2) (* x (* wj 2))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (- (pow wj 2) (* x (* wj 2))))

simplify3.1s

Counts
19 → 19
Iterations
IterNodes
done5001
34162
2417
1106
039

prune120.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* wj (- wj (* 2 x))))) (cbrt (+ x (* wj (- wj (* 2 x))))))
0.6b
(cbrt (+ x (* wj (- wj (* 2 x)))))
0.6b
(cbrt (+ x (* wj (- wj (* 2 x)))))
0.6b
(cbrt (+ x (* wj (- wj (* 2 x)))))

rewrite49.0ms

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 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 → 87
Calls
4 calls:
36.0ms
(* (cbrt (+ x (* wj (- wj (* 2 x))))) (cbrt (+ x (* wj (- wj (* 2 x))))))
5.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))
3.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))
3.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
470.0ms
(* (cbrt (+ x (* wj (- wj (* 2 x))))) (cbrt (+ x (* wj (- wj (* 2 x))))))
468.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))
457.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))
403.0ms
(cbrt (+ x (* wj (- wj (* 2 x)))))

simplify761.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
2995
1327
0139

prune656.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1))
0.0b
(* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
5.0b
(+ wj (* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
58×times-frac
30×associate-*l*
27×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
10×add-cbrt-cube add-exp-log
9×distribute-lft-out--
6×associate-/l*
5×pow1 flip3-+ flip-+ add-log-exp
4×associate-/r* associate-*r* associate-/r/
2×distribute-rgt-in frac-times cbrt-undiv associate-+r+ distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-- div-sub pow-prod-down associate-*l/ *-commutative flip--
Counts
3 → 120
Calls
3 calls:
69.0ms
(/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1))
168.0ms
(* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
19.0ms
(+ wj (* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))))

series491.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1))
141.0ms
(* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
235.0ms
(+ wj (* (/ (- (/ x (exp wj)) wj) (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))))

simplify2.9s

Counts
129 → 129
Iterations
IterNodes
done5001
24912
1773
0205

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes121.0ms

Accuracy

66.6% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.2b

bsearch59.0ms

Steps
ItersRangePoint
8
3.4680268680189636e-18
1.2432560295212927e-15
4.306602228527943e-16

simplify6.0ms

Iterations
IterNodes
done43
343
241
137
027

end0.0ms

sample6.6s

Algorithm
intervals
Results
5.1s7674×body10240exit
474.0ms6244×body80valid
179.0ms464×body640valid
143.0ms779×body320valid
74.0ms575×body160valid