Details

Time bar (total: 21.3s)

sample64.0ms

Algorithm
intervals
Results
42.0ms225×body10240exit
6.0ms216×body80valid
2.0ms19×body320valid
1.0ms7×body640valid
1.0ms16×body160valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (93.0ms)

IterNodesCost
0816
12115
25215
311315
425114
599112
6443112
done500012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b
(/ x (exp wj))
4.6b
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
177×add-sqr-sqrt
173×*-un-lft-identity
123×times-frac
90×prod-diff
87×add-cube-cbrt
36×difference-of-squares
25×distribute-lft-out
18×distribute-lft-out--
9×associate-/l*
8×associate-/r/
7×associate-/r* add-cbrt-cube
6×add-exp-log
5×div-inv add-log-exp
4×flip3-+ flip-+
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- associate-/l/
1×sub-neg diff-log associate--r-
Counts
3 → 193
Calls
3 calls:
27.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
3.0ms
(/ x (exp wj))
42.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series106.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (- wj (/ x (exp wj))) (+ 1 wj))
24.0ms
(/ x (exp wj))
47.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify1.5s

Counts
202 → 202
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03318699
18547901
231175817
done50005805

prune359.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* 2 (* wj x))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* 2 (* wj x))

simplify3.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
037166
189157
2290133
3944133
41934133
54554133
done5000133

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1 wj) (exp wj))
0.0b
(/ wj (+ 1 wj))
0.0b
(/ x (* (+ 1 wj) (exp wj)))
4.6b
(- wj (- (/ wj (+ 1 wj)) (/ x (* (+ 1 wj) (exp wj)))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
212×*-un-lft-identity
186×prod-diff
180×times-frac
164×associate--r+
156×add-sqr-sqrt
137×add-cube-cbrt
70×associate-/r/
46×associate-*l/
36×flip3-+ flip-+
32×distribute-lft-out
29×div-inv
13×add-cbrt-cube
11×add-exp-log
9×add-log-exp
7×difference-of-squares
6×pow1 distribute-rgt-out-- associate-/l* distribute-lft-out--
5×associate-/r*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×cbrt-undiv fma-neg diff-log div-exp associate-*r*
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×flip3-- pow-prod-down *-commutative flip-- associate--r- unswap-sqr
Counts
4 → 293
Calls
4 calls:
11.0ms
(* (+ 1 wj) (exp wj))
5.0ms
(/ wj (+ 1 wj))
6.0ms
(/ x (* (+ 1 wj) (exp wj)))
101.0ms
(- wj (- (/ wj (+ 1 wj)) (/ x (* (+ 1 wj) (exp wj)))))

series143.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ 1 wj) (exp wj))
20.0ms
(/ wj (+ 1 wj))
45.0ms
(/ x (* (+ 1 wj) (exp wj)))
44.0ms
(- wj (- (/ wj (+ 1 wj)) (/ x (* (+ 1 wj) (exp wj)))))

simplify1.9s

Counts
305 → 305
Iterations

Useful iterations: 2 (436.0ms)

IterNodesCost
05299219
113337703
244646642
done50006642

prune759.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ (pow wj 3) 1))
0.0b
(/ x (* (+ 1 wj) (exp wj)))
0.0b
(* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
4.6b
(- wj (- (* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))) (/ x (* (+ 1 wj) (exp wj)))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
41×add-sqr-sqrt
34×add-cube-cbrt
31×times-frac
21×prod-diff
18×associate-*l*
16×add-cbrt-cube
15×add-exp-log
13×associate--r+
11×associate-/r/
9×flip3-+ add-log-exp
8×associate-*l/ distribute-lft-out
6×pow1 flip-+ associate-/l*
5×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp associate-*r* log1p-expm1-u div-inv
3×distribute-rgt-out-- fma-neg diff-log prod-exp cbrt-unprod
2×distribute-rgt-in frac-times sub-neg frac-2neg distribute-lft-in associate-*r/ associate--l+ clear-num unswap-sqr
1×flip3-- pow-prod-down *-commutative flip-- distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 152
Calls
4 calls:
13.0ms
(/ wj (+ (pow wj 3) 1))
7.0ms
(/ x (* (+ 1 wj) (exp wj)))
55.0ms
(* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
75.0ms
(- wj (- (* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))) (/ x (* (+ 1 wj) (exp wj)))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ wj (+ (pow wj 3) 1))
40.0ms
(/ x (* (+ 1 wj) (exp wj)))
56.0ms
(* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj))))
84.0ms
(- wj (- (* (/ wj (+ (pow wj 3) 1)) (+ (* 1 1) (- (* wj wj) (* 1 wj)))) (/ x (* (+ 1 wj) (exp wj)))))

simplify2.8s

Counts
164 → 164
Iterations

Useful iterations: 2 (401.0ms)

IterNodesCost
03185357
19783830
244793153
done50003153

prune502.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01834
12532
23032
done3032

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s7745×body10240exit
186.0ms6321×body80valid
69.0ms754×body320valid
66.0ms457×body640valid
36.0ms540×body160valid