Details

Time bar (total: 26.4s)

sample224.0ms

Algorithm
intervals
Results
72.0ms256×body80valid
14.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done2005
62005
51509
4498
3162
274
137
018

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)
0.2b
(pow (* -2 (log u1)) 0.5)
0.3b
(* u2 (* 2 PI))
0.4b
(* (pow (* -2 (log u1)) 0.5) 1/6)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
12×pow1
11×add-sqr-sqrt add-cbrt-cube
9×prod-exp
8×*-un-lft-identity associate-*l* add-cube-cbrt
4×expm1-log1p-u associate-*r* pow-prod-down pow-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow sqr-pow
2×pow-to-exp unpow-prod-down pow-pow *-commutative unswap-sqr
1×fma-udef
Counts
4 → 78
Calls
4 calls:
0.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)
10.0ms
(pow (* -2 (log u1)) 0.5)
14.0ms
(* u2 (* 2 PI))
19.0ms
(* (pow (* -2 (log u1)) 0.5) 1/6)

series1.9s

Counts
4 → 12
Calls
4 calls:
484.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)
324.0ms
(pow (* -2 (log u1)) 0.5)
67.0ms
(* u2 (* 2 PI))
1.1s
(* (pow (* -2 (log u1)) 0.5) 1/6)

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done2005
32005
21102
1382
0160

prune633.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
19×prod-exp
17×add-sqr-sqrt
16×add-cbrt-cube
14×pow1
13×associate-*r*
11×*-un-lft-identity add-cube-cbrt
9×associate-*l*
8×sqrt-prod
7×cbrt-unprod
6×pow-exp
5×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow
Counts
4 → 98
Calls
4 calls:
11.0ms
(pow (* -2 (log u1)) 0.5)
59.0ms
(* (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6)) (sqrt 1/6))
26.0ms
(* u2 (* 2 PI))
13.0ms
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))

series2.7s

Counts
4 → 12
Calls
4 calls:
408.0ms
(pow (* -2 (log u1)) 0.5)
1.1s
(* (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6)) (sqrt 1/6))
60.0ms
(* u2 (* 2 PI))
1.1s
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done2000
32000
21203
1407
0165

prune672.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×add-exp-log
24×pow1
17×associate-*r* associate-*l*
15×*-un-lft-identity add-cbrt-cube add-cube-cbrt
14×prod-exp sqrt-prod
9×unswap-sqr
8×sqrt-pow1 pow1/2
6×pow-prod-down cbrt-unprod sqr-pow
5×pow-prod-up
4×expm1-log1p-u swap-sqr pow-exp *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×pow-sqr
2×pow-to-exp unpow-prod-down
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 124
Calls
4 calls:
19.0ms
(* u2 (* 2 PI))
30.0ms
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
26.0ms
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
57.0ms
(* (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))))

series3.2s

Counts
4 → 12
Calls
4 calls:
74.0ms
(* u2 (* 2 PI))
1.1s
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
1.0s
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
1.0s
(* (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))))

simplify1.3s

Counts
136 → 136
Iterations
IterNodes
done2001
32001
21000
1360
0162

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* u2 (* 2 PI))
0.3b
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
0.4b
(* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))))
0.4b
(* (sqrt (pow (* -2 (log u1)) 0.5)) (* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6)))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×associate-*l*
24×add-exp-log
23×sqrt-prod
18×pow1 add-cbrt-cube
14×*-un-lft-identity add-cube-cbrt
12×associate-*r* prod-exp
11×pow-prod-down
8×cbrt-unprod
7×unswap-sqr
5×pow1/2
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×sqrt-unprod
2×unpow-prod-down sqrt-pow1 pow-exp
1×pow-to-exp
Counts
4 → 113
Calls
4 calls:
27.0ms
(* u2 (* 2 PI))
15.0ms
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
39.0ms
(* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))))
123.0ms
(* (sqrt (pow (* -2 (log u1)) 0.5)) (* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6)))))

series3.2s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* u2 (* 2 PI))
1.1s
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
1.1s
(* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))))
1.0s
(* (sqrt (pow (* -2 (log u1)) 0.5)) (* (sqrt (sqrt 1/6)) (sqrt (* (pow (* -2 (log u1)) 0.5) (sqrt 1/6)))))

simplify1.2s

Counts
125 → 125
Iterations
IterNodes
done2000
32000
21338
1433
0195

prune958.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes471.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample3.6s

Algorithm
intervals
Results
3.0s8000×body80valid
385.0ms8000×pre80true