Details

Time bar (total: 27.7s)

sample273.0ms

Algorithm
intervals
Results
137.0ms256×body80valid
16.0ms256×pre80true

simplify2.0s

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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
0.1b
(pow (* -2 (log u1)) 0.5)
0.2b
(* (* 2 PI) u2)
0.4b
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
25×add-sqr-sqrt
24×prod-exp
16×*-un-lft-identity
14×add-cbrt-cube associate-*l* add-cube-cbrt
13×times-frac
12×pow1
10×pow-exp
8×div-exp associate-*r*
6×add-log-exp unswap-sqr
5×pow-to-exp cbrt-unprod sqr-pow
4×expm1-log1p-u rec-exp 1-exp pow-prod-down insert-posit16 log1p-expm1-u
3×pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ associate-*l/ flip-+ div-inv
Counts
4 → 110
Calls
4 calls:
81.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
5.0ms
(pow (* -2 (log u1)) 0.5)
14.0ms
(* (* 2 PI) u2)
18.0ms
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
661.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
372.0ms
(pow (* -2 (log u1)) 0.5)
61.0ms
(* (* 2 PI) u2)
1.0s
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))

simplify1.6s

Counts
122 → 122
Iterations
IterNodes
done2012
32012
21852
1595
0226

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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×expm1-log1p-u div-exp pow-prod-down pow-exp insert-posit16 log1p-expm1-u
3×pow-unpow associate-/r* associate-*r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 97
Calls
4 calls:
51.0ms
(+ (* (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
5.0ms
(pow (* -2 (log u1)) 0.5)
7.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
23.0ms
(* (* 2 PI) u2)

series1.9s

Counts
4 → 12
Calls
4 calls:
640.0ms
(+ (* (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
341.0ms
(pow (* -2 (log u1)) 0.5)
896.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
47.0ms
(* (* 2 PI) u2)

simplify1.3s

Counts
109 → 109
Iterations
IterNodes
done2002
32002
21523
1508
0208

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
15×times-frac add-exp-log
8×pow1 add-cbrt-cube
6×log-prod
5×associate-/l*
4×expm1-log1p-u exp-prod unpow-prod-down div-exp insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×associate-/r* associate-*r* associate-*l* exp-sum
2×pow-exp prod-exp log-pow
1×pow-to-exp cbrt-undiv clear-num frac-2neg rem-log-exp pow-prod-down *-commutative cbrt-unprod div-inv unswap-sqr rem-exp-log
Counts
4 → 95
Calls
4 calls:
2.0ms
(log (fma (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* 2 (* u2 PI))) 0.5))
15.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
12.0ms
(* u2 PI)
6.0ms
(exp (log (fma (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* 2 (* u2 PI))) 0.5)))

series2.3s

Counts
4 → 12
Calls
4 calls:
639.0ms
(log (fma (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* 2 (* u2 PI))) 0.5))
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
40.0ms
(* u2 PI)
617.0ms
(exp (log (fma (/ (pow (* -2 (log u1)) 0.5) 6) (cos (* 2 (* u2 PI))) 0.5)))

simplify1.1s

Counts
107 → 107
Iterations
IterNodes
done2000
32000
2981
1393
0204

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
36×add-sqr-sqrt
34×times-frac
33×prod-exp
25×*-un-lft-identity add-cube-cbrt
20×div-exp associate-*l* pow-exp
16×add-cbrt-cube
13×sqr-pow
10×pow-to-exp
9×pow1
8×unpow-prod-down associate-*r*
6×add-log-exp unswap-sqr
5×cbrt-unprod associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* pow-prod-down
2×cbrt-undiv *-commutative div-inv
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ associate-*l/ flip-+
Counts
4 → 141
Calls
4 calls:
53.0ms
(+ (* (* (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6) (pow (* -2 (log u1)) (/ 0.5 2))) (cos (* (* 2 PI) u2))) 0.5)
19.0ms
(* (* 2 PI) u2)
27.0ms
(* (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6) (pow (* -2 (log u1)) (/ 0.5 2)))
7.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 6)

series2.6s

Counts
4 → 12
Calls
4 calls:
657.0ms
(+ (* (* (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6) (pow (* -2 (log u1)) (/ 0.5 2))) (cos (* (* 2 PI) u2))) 0.5)
59.0ms
(* (* 2 PI) u2)
986.0ms
(* (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6) (pow (* -2 (log u1)) (/ 0.5 2)))
859.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 6)

simplify1.2s

Counts
153 → 153
Iterations
IterNodes
done2000
22000
1637
0254

prune1.8s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes630.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.5s8000×body80valid
353.0ms8000×pre80true