Details

Time bar (total: 23.9s)

sample202.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
9.0ms256×pre80true

simplify1.6s

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize89.0ms

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

rewrite196.0ms

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:
82.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
23.0ms
(pow (* -2.0 (log u1)) 0.5)
35.0ms
(* (* 2.0 PI) u2)
50.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
634.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
378.0ms
(pow (* -2.0 (log u1)) 0.5)
49.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.1s

Counts
99 → 99

prune491.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
0.2b
(/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)
0.3b
(* (* 2.0 PI) u2)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×add-exp-log
13×pow-unpow
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×associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow div-inv
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+
Counts
4 → 94
Calls
4 calls:
74.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
10.0ms
(/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)
25.0ms
(* (* 2.0 PI) u2)

series2.3s

Counts
4 → 12
Calls
4 calls:
695.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
502.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
1.1s
(/ (pow (* -2.0 (log u1)) (/ 1.0 2.0)) 6.0)
41.0ms
(* (* 2.0 PI) u2)

simplify1.0s

Counts
106 → 106

prune603.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite229.0ms

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:
16.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
104.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
33.0ms
(* (* 2.0 PI) u2)
66.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0)))

series2.7s

Counts
4 → 12
Calls
4 calls:
400.0ms
(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))))
50.0ms
(* (* 2.0 PI) u2)
1.1s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) (/ 1.0 2.0)))

simplify988.0ms

Counts
134 → 134

prune730.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
0.2b
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
0.2b
(/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0)))
0.3b
(* (* 2.0 PI) u2)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
78×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 pow-unpow
10×pow-exp
8×prod-exp
7×div-inv
6×associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
16.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
41.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
11.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0)))
18.0ms
(* (* 2.0 PI) u2)

series3.3s

Counts
4 → 12
Calls
4 calls:
404.0ms
(pow (* -2.0 (log u1)) (/ 1.0 2.0))
1.2s
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0))))
1.6s
(/ 6.0 (pow (* -2.0 (log u1)) (/ 1.0 2.0)))
52.0ms
(* (* 2.0 PI) u2)

simplify1.3s

Counts
204 → 204

prune866.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes683.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.5s8000×body80valid
234.0ms8000×pre80true