Details

Time bar (total: 9.8s)

sample334.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
5.0ms256×pre80true

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110
done500110

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (/ 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))

rewrite108.0ms

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:
56.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
16.0ms
(* (* 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:
450.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
258.0ms
(pow (* -2.0 (log u1)) 0.5)
38.0ms
(* (* 2.0 PI) u2)
686.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify60.0ms

Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656
done5001656

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
35.0ms
(+ (* (/ (* 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)
16.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
17.0ms
(* (* 2.0 PI) u2)

series1.4s

Counts
4 → 12
Calls
4 calls:
452.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
256.0ms
(pow (* -2.0 (log u1)) 0.5)
685.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
37.0ms
(* (* 2.0 PI) u2)

simplify54.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0456597
12028527
25002525
done5002525

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) u2)
0.3b
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×prod-exp
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
11×pow1 times-frac
9×rem-log-exp
8×div-exp associate-*r* pow-exp
5×cbrt-unprod
4×pow-to-exp exp-prod add-log-exp unswap-sqr
3×pow-prod-down associate-*l/ sqr-pow
2×log-div log-prod log-pow *-commutative
1×cbrt-undiv unpow-prod-down exp-diff exp-sum div-inv rem-exp-log
Counts
4 → 92
Calls
4 calls:
16.0ms
(* (* 2.0 PI) u2)
17.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
29.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
25.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 2.0 PI) u2)
786.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
674.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
667.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify42.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396631
11598565
25001564
done5001564

prune332.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* -2.0 (log u1)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(exp (+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5)))
0.6b
(+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log
11×add-log-exp
9×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-+l+
4×log-prod pow-prod-down prod-exp sum-log
3×exp-prod associate-*r* associate--l+ cbrt-unprod rem-exp-log
2×associate-+l- diff-log rem-log-exp log-pow
1×+-commutative sub-neg flip3-+ exp-diff associate-*l* exp-sum *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
5.0ms
(log (* -2.0 (log u1)))
16.0ms
(* (* 2.0 PI) u2)
101.0ms
(exp (+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5)))
45.0ms
(+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5))

series1.3s

Counts
4 → 12
Calls
4 calls:
219.0ms
(log (* -2.0 (log u1)))
32.0ms
(* (* 2.0 PI) u2)
542.0ms
(exp (+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5)))
480.0ms
(+ (- (log 1.0) (log 6.0)) (* (log (* -2.0 (log u1))) 0.5))

simplify36.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0302535
11112456
25001444
done5001444

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes289.0ms

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
02410
12410
done2410

end0.0ms

sample967.0ms

Algorithm
intervals
Results
640.0ms8000×body80valid
126.0ms8000×pre80true