Details

Time bar (total: 29.1s)

sample167.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
8.0ms256×pre80true

simplify2.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite149.0ms

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:
84.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
8.0ms
(pow (* -2.0 (log u1)) 0.5)
22.0ms
(* (* 2.0 PI) u2)
29.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.6s

Counts
4 → 12
Calls
4 calls:
993.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
423.0ms
(pow (* -2.0 (log u1)) 0.5)
61.0ms
(* (* 2.0 PI) u2)
1.2s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.7s

Counts
99 → 99
Iterations
IterNodes
done5000
22644
1557
0206

prune750.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×times-frac
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×pow-unpow associate-/r* associate-*r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
74.0ms
(+ (* (* 1.0 (/ (pow (* (log u1) -2.0) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
10.0ms
(pow (* (log u1) -2.0) 0.5)
20.0ms
(* (* 2.0 PI) u2)
11.0ms
(/ (pow (* (log u1) -2.0) 0.5) 6.0)

series2.3s

Counts
4 → 12
Calls
4 calls:
661.0ms
(+ (* (* 1.0 (/ (pow (* (log u1) -2.0) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
423.0ms
(pow (* (log u1) -2.0) 0.5)
71.0ms
(* (* 2.0 PI) u2)
1.1s
(/ (pow (* (log u1) -2.0) 0.5) 6.0)

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
done5000
22326
1500
0200

prune730.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt add-exp-log
33×associate-*l*
30×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
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 pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
9.0ms
(pow (* -2.0 (log u1)) 0.5)
27.0ms
(* (* 2.0 PI) u2)
85.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
22.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

series2.9s

Counts
4 → 12
Calls
4 calls:
452.0ms
(pow (* -2.0 (log u1)) 0.5)
47.0ms
(* (* 2.0 PI) u2)
1.2s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
1.2s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify1.6s

Counts
124 → 124
Iterations
IterNodes
done5001
22129
1485
0200

prune976.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
33×prod-exp
32×pow-exp
14×pow-to-exp
11×add-sqr-sqrt add-cbrt-cube
10×pow1
8×*-un-lft-identity add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 85
Calls
4 calls:
38.0ms
(+ (* (* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666) (cos (* (* 2.0 PI) u2))) 0.5)
11.0ms
(pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5)
21.0ms
(* (* 2.0 PI) u2)
20.0ms
(* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666)

series3.3s

Counts
4 → 12
Calls
4 calls:
701.0ms
(+ (* (* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666) (cos (* (* 2.0 PI) u2))) 0.5)
1.5s
(pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5)
66.0ms
(* (* 2.0 PI) u2)
1.0s
(* (pow (* (pow -2.0 1.0) (pow (log u1) 1.0)) 0.5) 0.16666666666666666)

simplify2.8s

Counts
97 → 97
Iterations
IterNodes
done5000
22299
1565
0209

prune685.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes889.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8000×body80valid
788.0ms8000×pre80true