Details

Time bar (total: 36.1s)

sample887.0ms

Algorithm
intervals
Results
89.0ms256×body80valid
19.0ms256×pre80true

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
51509
4498
3162
274
137
018

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
0.1b
(pow (* -2 (log u1)) 0.5)
0.2b
(/ (pow (* -2 (log u1)) 0.5) 6)
0.3b
(* u2 (* 2 PI))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-*l* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv clear-num frac-2neg associate-*r* *-commutative fma-udef div-inv
Counts
4 → 93
Calls
4 calls:
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
5.0ms
(pow (* -2 (log u1)) 0.5)
8.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
16.0ms
(* u2 (* 2 PI))

series2.0s

Counts
4 → 12
Calls
4 calls:
473.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
473.0ms
(pow (* -2 (log u1)) 0.5)
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
46.0ms
(* u2 (* 2 PI))

simplify3.1s

Counts
105 → 105
Iterations
IterNodes
done5088
34506
21192
1417
0189

prune804.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cos (* (* PI 2) u2)) 1/6)
0.1b
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5)
0.3b
(* (* PI 2) u2)
0.4b
(fma (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5) (* (cos (* (* PI 2) u2)) 1/6) 0.5)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
16×pow-exp
13×prod-exp
12×pow1
11×add-cbrt-cube
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow-to-exp
6×associate-*r*
5×pow-prod-down
4×expm1-log1p-u associate-*l* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow *-commutative
1×unpow-prod-down fma-udef unswap-sqr sqr-pow
Counts
4 → 81
Calls
4 calls:
53.0ms
(* (cos (* (* PI 2) u2)) 1/6)
24.0ms
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5)
25.0ms
(* (* PI 2) u2)
0.0ms
(fma (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5) (* (cos (* (* PI 2) u2)) 1/6) 0.5)

series2.1s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cos (* (* PI 2) u2)) 1/6)
1.3s
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5)
43.0ms
(* (* PI 2) u2)
684.0ms
(fma (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2 1.0)) 0.5) (* (cos (* (* PI 2) u2)) 1/6) 0.5)

simplify2.8s

Counts
93 → 93
Iterations
IterNodes
done5000
21408
1535
0213

prune668.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2 (log u1)) (/ 0.5 2))
0.2b
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
0.3b
(* u2 (* 2 PI))
0.3b
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
209×times-frac
96×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 247
Calls
4 calls:
12.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
10.0ms
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
15.0ms
(* u2 (* 2 PI))
18.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))

series2.6s

Counts
4 → 12
Calls
4 calls:
384.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
1.1s
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
43.0ms
(* u2 (* 2 PI))
986.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))

simplify2.8s

Counts
259 → 259
Iterations
IterNodes
done5003
23737
11093
0420

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* u2 (* 2 PI))
0.3b
(/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))))
0.5b
(cbrt (/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)))))
0.5b
(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
317×add-exp-log
141×prod-exp
140×div-exp
116×pow-exp
103×times-frac
58×pow-to-exp
51×add-sqr-sqrt
47×*-un-lft-identity add-cube-cbrt
40×cbrt-prod
23×sqr-pow
20×add-cbrt-cube
19×unpow-prod-down
13×div-inv
9×pow1
8×associate-*l*
7×associate-/r*
6×associate-*r*
5×cbrt-undiv swap-sqr cbrt-unprod associate-/l*
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×associate-/r/ *-commutative
1×pow2 cbrt-div clear-num frac-2neg pow1/3 pow-sqr pow-prod-up
Counts
4 → 260
Calls
4 calls:
20.0ms
(* u2 (* 2 PI))
27.0ms
(/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))))
19.0ms
(cbrt (/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)))))
33.0ms
(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))

series3.7s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* u2 (* 2 PI))
1.1s
(/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))))
1.6s
(cbrt (/ (pow (* -2 (log u1)) 0.5) (/ 216 (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)))))
978.0ms
(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))

simplify3.6s

Counts
272 → 272
Iterations
IterNodes
done5122
22603
1906
0401

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes509.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.3s8000×body80valid
396.0ms8000×pre80true