Details

Time bar (total: 29.6s)

sample214.0ms

Algorithm
intervals
Results
68.0ms256×body80valid
6.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
53177
4483
3159
272
135
018

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
65×add-sqr-sqrt
63×*-un-lft-identity add-cube-cbrt
29×add-exp-log
15×unpow-prod-down sqr-pow
13×associate-/r*
12×div-exp
11×add-cbrt-cube
9×pow1
7×div-inv
6×pow-exp
5×associate-/l*
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×pow-to-exp cbrt-undiv pow-unpow associate-*r* associate-*l*
2×pow-pow pow-prod-down
1×clear-num frac-2neg associate-/r/ *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 155
Calls
4 calls:
0.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
5.0ms
(pow (* -2.0 (log u1)) 0.5)
18.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
8.0ms
(* PI u2)

series2.2s

Counts
4 → 12
Calls
4 calls:
657.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
441.0ms
(pow (* -2.0 (log u1)) 0.5)
1.0s
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
36.0ms
(* PI u2)

simplify2.3s

Counts
167 → 167
Iterations
IterNodes
done5000
23876
1811
0322

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0))) (cos (* 2.0 (* PI u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* PI u2)
0.4b
(* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
78×times-frac
68×add-sqr-sqrt
47×*-un-lft-identity associate-*r*
43×add-cube-cbrt
37×prod-exp
28×div-exp
16×pow-exp
15×add-cbrt-cube
11×unswap-sqr
9×pow1
8×pow-to-exp rec-exp 1-exp associate-*l*
7×sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv pow-unpow
2×unpow-prod-down pow-pow pow-prod-down *-commutative
1×associate-*r/ associate-/r/ un-div-inv fma-udef
Counts
4 → 151
Calls
4 calls:
0.0ms
(fma (* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0))) (cos (* 2.0 (* PI u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
10.0ms
(* PI u2)
59.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0)))

series2.2s

Counts
4 → 12
Calls
4 calls:
664.0ms
(fma (* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0))) (cos (* 2.0 (* PI u2))) 0.5)
366.0ms
(pow (* -2.0 (log u1)) 0.5)
34.0ms
(* PI u2)
1.1s
(* (pow (* -2.0 (log u1)) 0.5) (/ 1 (/ 6.0 1.0)))

simplify1.0s

Counts
163 → 163
Iterations
IterNodes
done5000
1867
0308

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0)))) (sqrt (/ 1 (/ 6.0 1.0))))
0.2b
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0))))
0.3b
(* PI u2)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
108×add-sqr-sqrt
98×sqrt-prod
97×associate-*r*
84×*-un-lft-identity
80×add-cube-cbrt
31×add-exp-log
17×prod-exp
13×add-cbrt-cube unswap-sqr
11×pow1
9×associate-*l*
8×div-inv sqr-pow
6×pow-exp
5×sqrt-div cbrt-unprod
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow pow-prod-down *-commutative
2×unpow-prod-down pow-pow associate-/r/
1×frac-times associate-*l/
Counts
4 → 188
Calls
4 calls:
8.0ms
(pow (* -2.0 (log u1)) 0.5)
89.0ms
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0)))) (sqrt (/ 1 (/ 6.0 1.0))))
75.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0))))
11.0ms
(* PI u2)

series2.5s

Counts
4 → 12
Calls
4 calls:
364.0ms
(pow (* -2.0 (log u1)) 0.5)
1.2s
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0)))) (sqrt (/ 1 (/ 6.0 1.0))))
964.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1 (/ 6.0 1.0))))
36.0ms
(* PI u2)

simplify2.6s

Counts
200 → 200
Iterations
IterNodes
done5001
23756
1835
0346

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
730×add-exp-log
348×div-exp
331×prod-exp
210×times-frac
115×associate-*r*
109×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
72×rec-exp 1-exp
68×pow-exp
56×cbrt-prod add-cbrt-cube
34×pow-to-exp
27×cbrt-undiv cbrt-unprod
25×sqr-pow
22×unpow-prod-down
9×pow1
7×unswap-sqr
6×frac-times associate-*l/ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×un-div-inv
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 351
Calls
4 calls:
129.0ms
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)

series1.3s

Counts
4 → 6
Calls
4 calls:
1.3s
(* (* (/ 1 (cbrt 6.0)) (/ 1 (cbrt 6.0))) (/ (pow (* -2.0 (log u1)) 0.5) (/ (cbrt 6.0) 1.0)))
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)

simplify1.8s

Counts
357 → 357
Iterations
IterNodes
done5001
12231
0538

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes486.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s8000×body80valid
246.0ms8000×pre80true