Details

Time bar (total: 18.0s)

sample189.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
8.0ms256×pre80true

simplify79.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize63.0ms

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)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite126.0ms

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:
66.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
11.0ms
(pow (* -2.0 (log u1)) 0.5)
18.0ms
(* (* 2.0 PI) u2)
26.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.4s

Counts
4 → 12
Calls
4 calls:
705.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
446.0ms
(pow (* -2.0 (log u1)) 0.5)
41.0ms
(* (* 2.0 PI) u2)
1.2s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify88.0ms

Counts
99 → 99

prune433.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.2b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1
11×add-cbrt-cube
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
62.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
21.0ms
(pow (* -2.0 (log u1)) 0.5)
34.0ms
(* (* 2.0 PI) u2)
18.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series2.3s

Counts
4 → 12
Calls
4 calls:
633.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
416.0ms
(pow (* -2.0 (log u1)) 0.5)
51.0ms
(* (* 2.0 PI) u2)
1.2s
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify49.0ms

Counts
96 → 96

prune613.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.3b
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 182
Calls
4 calls:
21.0ms
(pow (* -2.0 (log u1)) 0.5)
35.0ms
(* (* 2.0 PI) u2)
32.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
16.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

series2.9s

Counts
4 → 12
Calls
4 calls:
512.0ms
(pow (* -2.0 (log u1)) 0.5)
65.0ms
(* (* 2.0 PI) u2)
1.1s
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
1.2s
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

simplify124.0ms

Counts
194 → 194

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite663.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
33×prod-exp
32×pow-exp
14×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
4×associate-*l* pow-prod-down cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 85
Calls
4 calls:
582.0ms
(+ (* (* 1.0 (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))) (cos (* (* 2.0 PI) u2))) 0.5)
18.0ms
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
29.0ms
(* (* 2.0 PI) u2)
27.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))

series3.2s

Counts
4 → 12
Calls
4 calls:
704.0ms
(+ (* (* 1.0 (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))) (cos (* (* 2.0 PI) u2))) 0.5)
1.3s
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
69.0ms
(* (* 2.0 PI) u2)
1.1s
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))

simplify74.0ms

Counts
97 → 97

prune432.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes578.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify186.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s8000×body80valid
243.0ms8000×pre80true