Details

Time bar (total: 31.4s)

sample155.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
10.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
63468
51272
4432
3156
269
134
018

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
0.1b
(pow (* -2 (log u1)) 0.5)
0.2b
(* u2 (* 2 PI))
0.3b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
16×associate-*l*
14×*-un-lft-identity add-cbrt-cube prod-exp add-cube-cbrt
12×pow1
11×times-frac
6×associate-*r* pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down insert-posit16 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 → 91
Calls
4 calls:
24.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
10.0ms
(pow (* -2 (log u1)) 0.5)
25.0ms
(* u2 (* 2 PI))
56.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
648.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
322.0ms
(pow (* -2 (log u1)) 0.5)
37.0ms
(* u2 (* 2 PI))
518.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

simplify3.1s

Counts
103 → 103
Iterations
IterNodes
35585
21563
1506
0205

prune975.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
0.2b
(* u2 (* 2 PI))
0.2b
(* u2 (* 2 PI))
0.3b
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l*
36×add-exp-log
34×add-sqr-sqrt
30×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube prod-exp
20×times-frac
16×pow1
10×cbrt-unprod
8×associate-*r*
7×pow-prod-down
6×unswap-sqr
5×sqrt-div
4×associate-*l/ pow-exp *-commutative insert-posit16 add-log-exp sqr-pow
2×pow-to-exp div-inv
1×frac-times unpow-prod-down associate-*r/
Counts
4 → 117
Calls
4 calls:
54.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
14.0ms
(* u2 (* 2 PI))
13.0ms
(* u2 (* 2 PI))
22.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

series1.3s

Counts
4 → 12
Calls
4 calls:
628.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
38.0ms
(* u2 (* 2 PI))
83.0ms
(* u2 (* 2 PI))
563.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
35399
21479
1472
0203

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ 1 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
0.2b
(* u2 (* 2 PI))
0.2b
(* u2 (* 2 PI))
0.3b
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l*
36×add-exp-log
34×add-sqr-sqrt
30×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube prod-exp
20×times-frac
16×pow1
10×cbrt-unprod
8×associate-*r*
7×pow-prod-down
6×unswap-sqr
5×sqrt-div
4×associate-*l/ pow-exp *-commutative insert-posit16 add-log-exp sqr-pow
2×pow-to-exp div-inv
1×frac-times unpow-prod-down associate-*r/
Counts
4 → 117
Calls
4 calls:
58.0ms
(* (sqrt (/ 1 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
22.0ms
(* u2 (* 2 PI))
18.0ms
(* u2 (* 2 PI))
17.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

series1.2s

Counts
4 → 12
Calls
4 calls:
533.0ms
(* (sqrt (/ 1 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
38.0ms
(* u2 (* 2 PI))
39.0ms
(* u2 (* 2 PI))
595.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))

simplify3.2s

Counts
129 → 129
Iterations
IterNodes
35215
21390
1499
0231

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
0.3b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
0.5b
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
0.5b
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
424×add-exp-log
281×prod-exp
81×div-exp
80×pow-exp
52×add-cbrt-cube
45×add-sqr-sqrt
40×pow-to-exp
34×times-frac
29×*-un-lft-identity add-cube-cbrt
27×associate-*l*
25×cbrt-unprod
11×pow1 associate-*r*
9×cbrt-undiv
8×unswap-sqr
7×associate-*l/
6×sqr-pow
4×insert-posit16 associate-/l* add-log-exp difference-of-squares
3×associate-/r* *-commutative div-inv
2×unpow-prod-down flip3-- associate-/r/ flip-- associate-/l/
1×pow2 frac-times clear-num frac-2neg pow-plus div-sub swap-sqr pow-prod-down associate-*r/ pow-sqr pow-prod-up
Counts
4 → 231
Calls
4 calls:
45.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
23.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
34.0ms
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
143.0ms
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))

series2.3s

Counts
4 → 12
Calls
4 calls:
442.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
432.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
912.0ms
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
524.0ms
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))

simplify1.3s

Counts
243 → 243
Iterations
IterNodes
22769
1856
0332

prune2.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

simplify10.0ms

Iterations
IterNodes
231
131
023

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.2s8000×body80valid
853.0ms8000×pre80true