Details

Time bar (total: 31.7s)

sample124.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
5.0ms256×pre80true

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5000
51408
4387
3148
272
135
018

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (cos (* 2.0 (* PI u2))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
25×add-sqr-sqrt
16×associate-*l*
15×*-un-lft-identity add-cube-cbrt
12×prod-exp
11×times-frac add-cbrt-cube
9×pow1
8×associate-*r*
6×pow-exp
5×unswap-sqr
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp pow-unpow cbrt-unprod
2×unpow-prod-down pow-pow pow-prod-down *-commutative
1×cbrt-undiv associate-*l/ fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
0.0ms
(fma (cos (* 2.0 (* PI u2))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 0.5)
5.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* PI u2)
20.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.0s

Counts
4 → 12
Calls
4 calls:
495.0ms
(fma (cos (* 2.0 (* PI u2))) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 0.5)
397.0ms
(pow (* -2.0 (log u1)) 0.5)
27.0ms
(* PI u2)
1.1s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify3.3s

Counts
104 → 104
Iterations
IterNodes
done5000
34988
21370
1468
0194

prune669.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (cos (* 2.0 (* PI u2))) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.3b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×*-un-lft-identity add-exp-log add-cube-cbrt
15×times-frac
9×pow1
8×add-cbrt-cube
5×unpow-prod-down associate-/l* sqr-pow
4×expm1-log1p-u div-exp pow-exp log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-*r* associate-*l* prod-exp
2×pow-to-exp pow-pow pow-prod-down
1×cbrt-undiv clear-num frac-2neg *-commutative cbrt-unprod fma-udef div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
0.0ms
(fma (cos (* 2.0 (* PI u2))) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
17.0ms
(* PI u2)
13.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series2.1s

Counts
4 → 12
Calls
4 calls:
576.0ms
(fma (cos (* 2.0 (* PI u2))) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) 0.5)
395.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* PI u2)
1.1s
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify2.7s

Counts
101 → 101
Iterations
IterNodes
done5004
33711
21086
1405
0186

prune870.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
75×add-sqr-sqrt
73×*-un-lft-identity add-cube-cbrt
49×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
13×add-cbrt-cube
10×pow1 pow-exp
6×prod-exp div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×clear-num pow-pow frac-2neg pow-prod-down
1×associate-/r/ *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
Counts
4 → 190
Calls
4 calls:
5.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* PI u2)
6.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
13.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series2.4s

Counts
4 → 12
Calls
4 calls:
374.0ms
(pow (* -2.0 (log u1)) 0.5)
28.0ms
(* PI u2)
1.1s
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
945.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify2.1s

Counts
202 → 202
Iterations
IterNodes
done5001
22138
1738
0302

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI u2)
0.3b
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
0.3b
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
428×add-exp-log
268×prod-exp
214×pow-exp
168×div-exp
94×pow-to-exp
84×rec-exp 1-exp
21×add-sqr-sqrt
18×add-cbrt-cube
14×*-un-lft-identity associate-*r* add-cube-cbrt
9×times-frac
8×pow1 unpow-prod-down
6×associate-*l* associate-/l*
4×expm1-log1p-u cbrt-undiv cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×div-inv pow-flip
2×clear-num associate-/r* frac-2neg pow-prod-down *-commutative inv-pow sqr-pow
Counts
4 → 260
Calls
4 calls:
10.0ms
(* PI u2)
56.0ms
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
47.0ms
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
22.0ms
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

series3.5s

Counts
4 → 12
Calls
4 calls:
22.0ms
(* PI u2)
1.0s
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
1.2s
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
1.2s
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

simplify2.2s

Counts
272 → 272
Iterations
IterNodes
done5011
21615
1738
0312

prune861.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes448.0ms

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
done25
125
019

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.4s8000×body80valid
639.0ms8000×pre80true