Details

Time bar (total: 53.2s)

sample164.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
7.0ms256×pre80true

simplify6.5s

Counts
1 → 1
Iterations
IterNodes
done5000
51534
4385
3145
269
134
018

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize110.0ms

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))

rewrite212.0ms

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 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:
96.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
17.0ms
(pow (* -2.0 (log u1)) 0.5)
29.0ms
(* (* 2.0 PI) u2)
57.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series3.3s

Counts
4 → 12
Calls
4 calls:
1.0s
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
573.0ms
(pow (* -2.0 (log u1)) 0.5)
41.0ms
(* (* 2.0 PI) u2)
1.6s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify3.9s

Counts
103 → 103
Iterations
IterNodes
done5001
21821
1558
0210

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod insert-posit16
3×pow-unpow associate-/r* times-frac associate-*r*
2×pow-to-exp cbrt-undiv pow-pow
1×+-commutative clear-num sum-log unpow-prod-down frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 74
Calls
4 calls:
87.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
41.0ms
(* (* 2.0 PI) u2)
18.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series3.1s

Counts
4 → 12
Calls
4 calls:
1.2s
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
497.0ms
(pow (* -2.0 (log u1)) 0.5)
59.0ms
(* (* 2.0 PI) u2)
1.3s
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify3.6s

Counts
86 → 86
Iterations
IterNodes
done5003
21741
1526
0191

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.5 (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666)))
0.1b
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
0.3b
(* (* 2.0 u2) PI)
0.3b
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
66×prod-exp
48×pow-exp
21×pow-to-exp
14×add-cbrt-cube
10×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-*l* cbrt-unprod add-log-exp
4×associate-*r* pow-prod-down insert-posit16
3×pow-unpow
2×unpow-prod-down pow-pow *-commutative sqr-pow
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 98
Calls
4 calls:
27.0ms
(+ 0.5 (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666)))
39.0ms
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
26.0ms
(* (* 2.0 u2) PI)
149.0ms
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666))

series4.3s

Counts
4 → 12
Calls
4 calls:
1.1s
(+ 0.5 (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666)))
2.0s
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
52.0ms
(* (* 2.0 u2) PI)
1.1s
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* (cos (* (* 2.0 u2) PI)) 0.16666666666666666))

simplify5.9s

Counts
110 → 110
Iterations
IterNodes
done5000
21791
1595
0219

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.5b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
0.5b
(cbrt (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

rewrite739.0ms

Algorithm
rewrite-expression-head
Rules
422×add-exp-log
281×prod-exp
80×div-exp pow-exp
50×add-cbrt-cube
40×pow-to-exp
36×add-sqr-sqrt
27×associate-*l*
25×cbrt-unprod
24×associate-*l/
22×times-frac
20×*-un-lft-identity add-cube-cbrt
11×pow1 associate-*r*
8×cbrt-undiv unswap-sqr
7×cbrt-div
6×frac-times sqr-pow
4×associate-*r/ insert-posit16 add-log-exp
3×*-commutative
2×unpow-prod-down div-inv
1×cbrt-prod pow2 pow-plus pow1/3 swap-sqr pow3 pow-prod-down pow-sqr pow-prod-up rem-cbrt-cube
Counts
4 → 212
Calls
4 calls:
38.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
50.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
149.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
462.0ms
(cbrt (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

series6.3s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
1.6s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
1.6s
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
1.6s
(cbrt (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

simplify4.2s

Counts
224 → 224
Iterations
IterNodes
done5000
21448
1512
0223

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes2.0s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s8000×body80valid
230.0ms8000×pre80true