Details

Time bar (total: 10.1s)

sample338.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
4.0ms256×pre80true

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019
done50019

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:
0.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
14.0ms
(pow (* -2.0 (log u1)) 0.5)
17.0ms
(* (* 2.0 PI) u2)
25.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
456.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
254.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
684.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify49.0ms

Counts
104 → 104
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0456686
11839619
25001619
done5001619

prune345.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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)
17.0ms
(* (* 2.0 PI) u2)
9.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
459.0ms
(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)
38.0ms
(* (* 2.0 PI) u2)
676.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify46.0ms

Counts
101 → 101
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0387666
11508612
25001612
done5001612

prune342.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
43×add-sqr-sqrt times-frac
34×prod-exp
32×add-cube-cbrt *-un-lft-identity
22×associate-*r* pow-exp
20×div-exp
16×add-cbrt-cube
14×sqr-pow
13×pow-unpow
12×pow1
11×pow-to-exp
9×unpow-prod-down
6×associate-*l* unswap-sqr
5×cbrt-unprod associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×cbrt-undiv pow-pow *-commutative
1×frac-2neg associate-*r/ clear-num
Counts
4 → 152
Calls
4 calls:
10.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
17.0ms
(* (* 2.0 PI) u2)
9.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0)
24.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
258.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
31.0ms
(* (* 2.0 PI) u2)
672.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0)
676.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0))

simplify64.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05901459
123271221
250011200
done50011200

prune524.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3)))
0.6b
(cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3))
0.7b
(pow (pow (* -2.0 (log u1)) 0.5) 3)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
44×cbrt-prod
25×unpow-prod-down
22×add-cube-cbrt *-un-lft-identity associate-*r*
19×cube-prod
18×add-exp-log
16×times-frac
15×sqr-pow
14×associate-*l* unswap-sqr
13×add-cbrt-cube
11×pow1
6×pow-exp prod-exp
5×cbrt-unprod
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×cube-mult pow-unpow unpow3
2×pow-to-exp *-commutative
1×cbrt-undiv pow-pow pow1/3 div-exp associate-*l/ rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
17.0ms
(* (* 2.0 PI) u2)
37.0ms
(* (/ 1.0 6.0) (cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3)))
4.0ms
(cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3))
6.0ms
(pow (pow (* -2.0 (log u1)) 0.5) 3)

series1.7s

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 2.0 PI) u2)
682.0ms
(* (/ 1.0 6.0) (cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3)))
664.0ms
(cbrt (pow (pow (* -2.0 (log u1)) 0.5) 3))
307.0ms
(pow (pow (* -2.0 (log u1)) 0.5) 3)

simplify70.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06221065
125511019
250011003
done50011003

prune443.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes322.0ms

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

sample940.0ms

Algorithm
intervals
Results
631.0ms8000×body80valid
116.0ms8000×pre80true