Details

Time bar (total: 30.4s)

sample92.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
5.0ms256×pre80true

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01819
13419
27119
315219
444019
5138519
done500019

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
108.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
7.0ms
(pow (* -2.0 (log u1)) 0.5)
36.0ms
(* (* 2.0 PI) u2)
38.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.3s

Counts
4 → 12
Calls
4 calls:
749.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
407.0ms
(pow (* -2.0 (log u1)) 0.5)
67.0ms
(* (* 2.0 PI) u2)
1.1s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.5s

Counts
99 → 99
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02031408
14991344
216551222
done50001191

prune532.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*l/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
8.0ms
(pow (* -2.0 (log u1)) 0.5)
91.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
34.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
36.0ms
(* (* 2.0 PI) u2)

series2.8s

Counts
4 → 12
Calls
4 calls:
416.0ms
(pow (* -2.0 (log u1)) 0.5)
1.2s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
1.1s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
55.0ms
(* (* 2.0 PI) u2)

simplify2.1s

Counts
124 → 124
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02001773
14421551
214191422
done50001413

prune801.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
0.2b
(* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
163×add-exp-log
150×prod-exp
118×pow-exp
58×pow-to-exp
11×add-sqr-sqrt add-cbrt-cube
10×pow1
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-log-exp
5×pow-prod-down
4×associate-*l* cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 127
Calls
4 calls:
122.0ms
(+ (* (* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
59.0ms
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
46.0ms
(* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5))
27.0ms
(* (* 2.0 PI) u2)

series4.8s

Counts
4 → 12
Calls
4 calls:
721.0ms
(+ (* (* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
1.9s
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
2.1s
(* 0.16666666666666666 (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5))
67.0ms
(* (* 2.0 PI) u2)

simplify1.5s

Counts
139 → 139
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02462869
16042635
217172397
done50012368

prune561.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b
(pow (pow (- (log u1)) 1.0) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.4b
(* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
185×add-exp-log
173×prod-exp
136×pow-exp
63×pow-to-exp
56×unpow-prod-down
23×associate-*r*
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-cbrt-cube
13×pow1
8×distribute-lft-neg-in distribute-rgt-neg-in
6×cbrt-unprod add-log-exp
4×log-pow sqr-pow
3×pow-unpow pow-prod-down
2×neg-mul-1 associate-*l* *-commutative
1×+-commutative pow-pow flip3-+ sum-log flip-+
Counts
4 → 157
Calls
4 calls:
177.0ms
(+ (* (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
12.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
39.0ms
(* (* 2.0 PI) u2)
114.0ms
(* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5))

series3.1s

Counts
4 → 12
Calls
4 calls:
657.0ms
(+ (* (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
712.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
35.0ms
(* (* 2.0 PI) u2)
1.7s
(* (* 0.16666666666666666 (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5)) (pow (pow (- (log u1)) 1.0) 0.5))

simplify1.6s

Counts
169 → 169
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02713461
16963160
222542928
done50002768

prune650.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes603.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02428
13128
done3128

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s8000×body80valid
250.0ms8000×pre80true