Details

Time bar (total: 28.3s)

sample137.0ms

Algorithm
intervals
Results
46.0ms256×body80valid
9.0ms256×pre80true

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01819
13419
27119
315219
444019
5138519
done500019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 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))

rewrite238.0ms

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 add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
118.0ms
(+ (* (* (/ 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)
37.0ms
(* (* 2.0 PI) u2)
62.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
658.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
400.0ms
(pow (* -2.0 (log u1)) 0.5)
70.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.5s

Counts
99 → 99
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02031408
14991344
216551222
done50001191

prune579.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*l/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
12.0ms
(pow (* -2.0 (log u1)) 0.5)
112.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
46.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
29.0ms
(* (* 2.0 PI) u2)

series2.7s

Counts
4 → 12
Calls
4 calls:
378.0ms
(pow (* -2.0 (log u1)) 0.5)
1.2s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
1.1s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
46.0ms
(* (* 2.0 PI) u2)

simplify2.6s

Counts
124 → 124
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02001773
14421551
214191422
done50001413

prune692.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (sqrt 1) (* (/ 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))

rewrite259.0ms

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 add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
176.0ms
(+ (* (* (sqrt 1) (* (/ 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)
34.0ms
(* (* 2.0 PI) u2)
34.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
687.0ms
(+ (* (* (sqrt 1) (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))) (cos (* (* 2.0 PI) u2))) 0.5)
345.0ms
(pow (* -2.0 (log u1)) 0.5)
69.0ms
(* (* 2.0 PI) u2)
1.1s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02051462
15061344
216721222
done50001191

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
14×log-prod add-cbrt-cube
13×prod-exp
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×pow1
10×div-exp
9×times-frac
7×exp-sum
6×rem-log-exp
4×exp-prod pow-exp cbrt-unprod add-log-exp
3×associate-*r* pow-prod-down associate-/r* div-inv
2×cbrt-undiv pow-to-exp log-div log-pow
1×frac-2neg exp-diff associate-*l* clear-num *-commutative rem-exp-log associate-/l*
Counts
4 → 84
Calls
4 calls:
22.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
31.0ms
(* (* 2.0 PI) u2)
9.0ms
(log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))
31.0ms
(exp (log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))

series3.7s

Counts
4 → 12
Calls
4 calls:
1.2s
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
54.0ms
(* (* 2.0 PI) u2)
1.3s
(log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))
1.1s
(exp (log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01691253
13551159
211991009
done5000994

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: done (9.0ms)

IterNodesCost
02122
13021
done3019

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s8000×body80valid
263.0ms8000×pre80true