Details

Time bar (total: 31.5s)

sample115.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
5.0ms256×pre80true

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5000
51534
4385
3145
269
134
018

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize59.0ms

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

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×*-un-lft-identity add-cbrt-cube associate-*l* prod-exp add-cube-cbrt
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 sum-log flip3-+ associate-*l/ flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
69.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms
(pow (* -2.0 (log u1)) 0.5)
14.0ms
(* (* 2.0 PI) u2)
37.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
728.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
402.0ms
(pow (* -2.0 (log u1)) 0.5)
39.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.8s

Counts
99 → 99
Iterations
IterNodes
done5001
21834
1555
0206

prune788.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow associate-/r* times-frac associate-*r*
2×pow-to-exp cbrt-undiv pow-pow
1×+-commutative clear-num sum-log unpow-prod-down frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
44.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms
(pow (* -2.0 (log u1)) 0.5)
14.0ms
(* (* 2.0 PI) u2)
26.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series2.2s

Counts
4 → 12
Calls
4 calls:
619.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
406.0ms
(pow (* -2.0 (log u1)) 0.5)
67.0ms
(* (* 2.0 PI) u2)
1.1s
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify1.9s

Counts
82 → 82
Iterations
IterNodes
done5000
21734
1520
0187

prune659.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
34×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×div-exp
12×pow1
6×pow-exp prod-exp div-inv associate-/l*
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-to-exp pow-unpow associate-*r* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 170
Calls
4 calls:
10.0ms
(pow (* -2.0 (log u1)) 0.5)
14.0ms
(* (* 2.0 PI) u2)
6.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
14.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series2.8s

Counts
4 → 12
Calls
4 calls:
398.0ms
(pow (* -2.0 (log u1)) 0.5)
52.0ms
(* (* 2.0 PI) u2)
1.3s
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
1.1s
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify2.3s

Counts
182 → 182
Iterations
IterNodes
done5001
22638
1829
0313

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
150×prod-exp
116×pow-exp
94×div-exp
56×pow-to-exp
30×rec-exp 1-exp
21×add-cbrt-cube
18×add-sqr-sqrt
14×associate-*r*
13×*-un-lft-identity add-cube-cbrt
10×pow1
9×times-frac
8×unpow-prod-down
6×cbrt-unprod associate-/l*
4×cbrt-undiv associate-*l* pow-prod-down add-log-exp
3×div-inv unswap-sqr
2×clear-num associate-/r* frac-2neg *-commutative pow-flip sqr-pow
1×inv-pow
Counts
4 → 182
Calls
4 calls:
16.0ms
(* (* 2.0 PI) u2)
26.0ms
(/ 1.0 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
54.0ms
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
29.0ms
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

series3.9s

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* 2.0 PI) u2)
1.0s
(/ 1.0 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
1.6s
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
1.2s
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

simplify2.5s

Counts
194 → 194
Iterations
IterNodes
done5002
21714
1662
0285

prune866.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes799.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s8000×body80valid
277.0ms8000×pre80true