Details

Time bar (total: 10.7s)

sample348.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
4.0ms256×pre80true

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110
done500110

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
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 flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
56.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
16.0ms
(* (* 2.0 PI) u2)
26.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
469.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
269.0ms
(pow (* -2.0 (log u1)) 0.5)
40.0ms
(* (* 2.0 PI) u2)
686.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify58.0ms

Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656
done5001656

prune320.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
46.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
11.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
16.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
461.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
265.0ms
(pow (* -2.0 (log u1)) 0.5)
703.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
34.0ms
(* (* 2.0 PI) u2)

simplify52.0ms

Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0438710
11838655
25001655
done5001655

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.2b
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 182
Calls
4 calls:
6.0ms
(pow (* -2.0 (log u1)) 0.5)
14.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
7.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
20.0ms
(* (* 2.0 PI) u2)

series1.8s

Counts
4 → 12
Calls
4 calls:
264.0ms
(pow (* -2.0 (log u1)) 0.5)
694.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
754.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
40.0ms
(* (* 2.0 PI) u2)

simplify68.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06551612
128781461
250021360
done50021360

prune448.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.2b
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.3b
(* (* 2.0 PI) u2)
0.4b
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
209×times-frac
96×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
76×add-exp-log
43×unpow-prod-down sqr-pow
40×div-exp
24×associate-/r*
22×pow-exp
16×add-cbrt-cube
14×prod-exp
13×pow-unpow
12×pow1
11×pow-to-exp
9×div-inv
8×associate-/l*
4×cbrt-undiv pow-prod-down add-log-exp
3×associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 235
Calls
4 calls:
7.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
7.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
16.0ms
(* (* 2.0 PI) u2)
22.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

series1.8s

Counts
4 → 12
Calls
4 calls:
275.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
777.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
42.0ms
(* (* 2.0 PI) u2)
710.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

simplify141.0ms

Counts
247 → 247
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
09243466
148103207
250023102
done50023102

prune801.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410
done2410

end0.0ms

sample959.0ms

Algorithm
intervals
Results
641.0ms8000×body80valid
119.0ms8000×pre80true