Details

Time bar (total: 25.8s)

sample98.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
5.0ms256×pre80true

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01819
13419
27119
315219
444019
5138519
done500019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite145.0ms

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:
77.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
18.0ms
(* (* 2.0 PI) u2)
36.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
655.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
383.0ms
(pow (* -2.0 (log u1)) 0.5)
46.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02031408
14991344
216551222
done50001191

prune549.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

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:
13.0ms
(pow (* -2.0 (log u1)) 0.5)
125.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
38.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
28.0ms
(* (* 2.0 PI) u2)

series2.9s

Counts
4 → 12
Calls
4 calls:
438.0ms
(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))
39.0ms
(* (* 2.0 PI) u2)

simplify1.9s

Counts
124 → 124
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02001773
14421551
214191422
done50001413

prune733.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
55.0ms
(+ (* (/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
13.0ms
(pow (* -2.0 (log u1)) 0.5)
34.0ms
(* (* 2.0 PI) u2)
29.0ms
(/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0)

series2.7s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ (* (/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
413.0ms
(pow (* -2.0 (log u1)) 0.5)
45.0ms
(* (* 2.0 PI) u2)
1.1s
(/ (* (pow (* -2.0 (log u1)) 0.5) 1.0) 6.0)

simplify1.4s

Counts
82 → 82
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01841163
14481116
21549981
done5000950

prune381.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ 1 (/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0)))
0.3b
(/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
36×times-frac
32×div-exp
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp
23×add-cbrt-cube
13×pow1
10×pow-exp
8×associate-/r*
7×cbrt-undiv
6×rec-exp 1-exp div-inv associate-/l*
5×pow-to-exp cbrt-unprod
4×pow-prod-down add-log-exp
3×pow-unpow associate-*r*
2×pow-pow frac-2neg clear-num
1×unpow-prod-down pow-flip associate-*l* associate-/r/ *-commutative inv-pow sqr-pow
Counts
4 → 124
Calls
4 calls:
6.0ms
(pow (* -2.0 (log u1)) 0.5)
23.0ms
(* (* 2.0 PI) u2)
29.0ms
(/ 1 (/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0)))
23.0ms
(/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0))

series2.6s

Counts
4 → 12
Calls
4 calls:
374.0ms
(pow (* -2.0 (log u1)) 0.5)
62.0ms
(* (* 2.0 PI) u2)
1.1s
(/ 1 (/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0)))
1.1s
(/ 6.0 (* (pow (* -2.0 (log u1)) 0.5) 1.0))

simplify1.6s

Counts
136 → 136
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02301930
15101722
215391498
done50011471

prune433.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12725
done2725

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s8000×body80valid
189.0ms8000×pre80true