Details

Time bar (total: 26.6s)

sample317.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
41.0ms256×pre80true

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
53198
4477
3155
271
134
018

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite174.0ms

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:
93.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
25.0ms
(* (* 2.0 PI) u2)
39.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
682.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
388.0ms
(pow (* -2.0 (log u1)) 0.5)
47.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
done5000
22644
1557
0206

prune747.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt add-exp-log
30×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
22×associate-*l*
20×times-frac associate-*r*
19×prod-exp
16×add-cbrt-cube
14×pow1
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*r/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*l/
Counts
4 → 112
Calls
4 calls:
5.0ms
(pow (* (log u1) -2.0) 0.5)
60.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* (log u1) -2.0) 0.5) (sqrt (/ 1.0 6.0))))
20.0ms
(* (pow (* (log u1) -2.0) 0.5) (sqrt (/ 1.0 6.0)))
13.0ms
(* (* 2.0 PI) u2)

series2.7s

Counts
4 → 12
Calls
4 calls:
421.0ms
(pow (* (log u1) -2.0) 0.5)
1.3s
(* (sqrt (/ 1.0 6.0)) (* (pow (* (log u1) -2.0) 0.5) (sqrt (/ 1.0 6.0))))
973.0ms
(* (pow (* (log u1) -2.0) 0.5) (sqrt (/ 1.0 6.0)))
52.0ms
(* (* 2.0 PI) u2)

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done5001
22371
1528
0226

prune848.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) u2)
0.3b
(* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))
0.4b
(* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))))
0.5b
(/ (- (* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))) (* 0.5 0.5)) (- (* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))) 0.5))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
235×add-exp-log
160×prod-exp
67×add-cbrt-cube
39×cbrt-unprod
29×div-exp
26×pow-exp
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
13×pow-to-exp
11×associate-*l*
9×pow1 times-frac
8×cbrt-undiv
6×associate-*l/
5×associate-*r* associate-*r/
4×add-log-exp
3×associate-/r* pow-prod-down *-commutative associate-/l* sqr-pow
2×unpow-prod-down flip3-- associate-/r/ flip-- unswap-sqr associate-/l/
1×frac-times clear-num frac-2neg div-sub div-inv
Counts
4 → 149
Calls
4 calls:
13.0ms
(* (* 2.0 PI) u2)
121.0ms
(* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))
498.0ms
(* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))))
1.0s
(/ (- (* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))) (* 0.5 0.5)) (- (* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))) 0.5))

series2.7s

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* 2.0 PI) u2)
979.0ms
(* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))
601.0ms
(* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))))
1.1s
(/ (- (* (pow (* (log u1) -2.0) (* 0.5 2)) (* (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2))))) (* 0.5 0.5)) (- (* (pow (* (log u1) -2.0) 0.5) (* (/ 1.0 6.0) (cos (* (* 2.0 PI) u2)))) 0.5))

simplify650.0ms

Counts
161 → 161
Iterations
IterNodes
done5000
11062
0361

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.3b
(* (* 2.0 PI) u2)
0.3b
(* (/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.3b
(/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
59×prod-exp
25×div-exp
24×pow-exp
23×add-cbrt-cube
20×add-sqr-sqrt
17×*-un-lft-identity add-cube-cbrt
15×times-frac
13×pow-unpow
12×pow-to-exp pow1
8×associate-*r* associate-*l* cbrt-unprod
4×cbrt-undiv pow-prod-down add-log-exp
3×associate-/r* div-inv sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×clear-num frac-2neg associate-*l/ associate-/l*
Counts
4 → 119
Calls
4 calls:
12.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
27.0ms
(* (* 2.0 PI) u2)
53.0ms
(* (/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
23.0ms
(/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0)

series2.5s

Counts
4 → 12
Calls
4 calls:
393.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
68.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
1000.0ms
(/ (* (pow (* (log u1) -2.0) (/ 0.5 2)) 1.0) 6.0)

simplify1.6s

Counts
131 → 131
Iterations
IterNodes
done5001
23176
1620
0228

prune871.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes797.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s8000×body80valid
187.0ms8000×pre80true