Details

Time bar (total: 16.9s)

sample118.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
7.0ms256×pre80true

simplify81.0ms

Counts
1 → 1

prune76.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

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))

rewrite186.0ms

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:
93.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
26.0ms
(pow (* -2.0 (log u1)) 0.5)
33.0ms
(* (* 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:
725.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
432.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
1.2s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify66.0ms

Counts
99 → 99

prune454.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
34×add-exp-log
33×associate-*l*
30×sqrt-prod
29×add-cube-cbrt *-un-lft-identity times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
13×pow-unpow
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 *-commutative div-inv
2×unpow-prod-down pow-pow
1×frac-times associate-*r/
Counts
4 → 122
Calls
4 calls:
10.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
101.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
35.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0)))
18.0ms
(* (* 2.0 PI) u2)

series2.7s

Counts
4 → 12
Calls
4 calls:
429.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
1.1s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
1.1s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0)))
38.0ms
(* (* 2.0 PI) u2)

simplify72.0ms

Counts
134 → 134

prune855.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×pow-unpow
12×pow1 times-frac
9×prod-exp
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow div-inv
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ associate-/l* sqr-pow
Counts
4 → 80
Calls
4 calls:
52.0ms
(+ (* (/ (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
14.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
36.0ms
(* (* 2.0 PI) u2)
22.0ms
(/ (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0) 6.0)

series2.9s

Counts
4 → 12
Calls
4 calls:
1.2s
(+ (* (/ (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
480.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
63.0ms
(* (* 2.0 PI) u2)
1.2s
(/ (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0) 6.0)

simplify70.0ms

Counts
92 → 92

prune416.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
45×times-frac
32×div-exp
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×prod-exp
23×add-cbrt-cube
13×pow1 pow-unpow
10×pow-exp
8×associate-/r*
7×cbrt-undiv div-inv
6×rec-exp 1-exp associate-/l*
5×pow-to-exp cbrt-unprod
4×pow-prod-down add-log-exp
3×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 → 134
Calls
4 calls:
13.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
36.0ms
(* (* 2.0 PI) u2)
56.0ms
(/ 1 (/ 6.0 (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0)))
12.0ms
(/ 6.0 (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0))

series2.8s

Counts
4 → 12
Calls
4 calls:
392.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
56.0ms
(* (* 2.0 PI) u2)
1.2s
(/ 1 (/ 6.0 (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0)))
1.2s
(/ 6.0 (* (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 1.0))

simplify90.0ms

Counts
146 → 146

prune583.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes338.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify80.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s8000×body80valid
348.0ms8000×pre80true