Details

Time bar (total: 12.5s)

sample354.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
4.0ms256×pre80true

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019
done50019

prune32.0ms

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
(fma (* (/ 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))

rewrite62.0ms

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
5×cbrt-unprod
4×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv associate-*l/ fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
12.0ms
(pow (* -2.0 (log u1)) 0.5)
18.0ms
(* (* 2.0 PI) u2)
26.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
461.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
261.0ms
(pow (* -2.0 (log u1)) 0.5)
33.0ms
(* (* 2.0 PI) u2)
688.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify51.0ms

Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619
done5001619

prune352.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* 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)

rewrite38.0ms

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
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×expm1-log1p-u div-exp pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv
Counts
4 → 89
Calls
4 calls:
0.0ms
(fma (* 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)
9.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
17.0ms
(* (* 2.0 PI) u2)

series1.4s

Counts
4 → 12
Calls
4 calls:
455.0ms
(fma (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)) 0.5)
261.0ms
(pow (* -2.0 (log u1)) 0.5)
688.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
34.0ms
(* (* 2.0 PI) u2)

simplify45.0ms

Counts
101 → 101
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0387666
11508612
25001612
done5001612

prune349.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite67.0ms

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 expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 243
Calls
4 calls:
8.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
8.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
17.0ms
(* (* 2.0 PI) u2)
20.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

series1.7s

Counts
4 → 12
Calls
4 calls:
258.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
749.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
32.0ms
(* (* 2.0 PI) u2)
680.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

simplify139.0ms

Counts
255 → 255
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
09403516
148553257
250013152
done50013152

prune870.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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)) (log1p (expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))))
0.5b
(expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
25×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
9×pow1
8×unpow-prod-down div-exp associate-/r* associate-/l* sqr-pow
5×prod-exp log1p-expm1-u
4×expm1-log1p-u pow-exp add-log-exp
3×associate-*r* pow-prod-down cbrt-unprod
2×cbrt-undiv pow-to-exp frac-2neg clear-num div-inv
1×expm1-log1p associate-*l* *-commutative expm1-udef
Counts
4 → 111
Calls
4 calls:
8.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
17.0ms
(* (* 2.0 PI) u2)
9.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (log1p (expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))))
1.0ms
(expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

series3.4s

Counts
4 → 12
Calls
4 calls:
772.0ms
(/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2)))
32.0ms
(* (* 2.0 PI) u2)
1.7s
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) (log1p (expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))))
836.0ms
(expm1 (/ 6.0 (pow (* -2.0 (log u1)) (/ 0.5 2))))

simplify48.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04401378
116491207
250021193
done50021193

prune611.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219
done219

end0.0ms

sample990.0ms

Algorithm
intervals
Results
671.0ms8000×body80valid
118.0ms8000×pre80true