Details

Time bar (total: 10.2s)

sample340.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
4.0ms256×pre80true

simplify65.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019
done50019

prune32.0ms

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

rewrite56.0ms

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)
11.0ms
(pow (* -2.0 (log u1)) 0.5)
16.0ms
(* (* 2.0 PI) u2)
24.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
462.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
264.0ms
(pow (* -2.0 (log u1)) 0.5)
33.0ms
(* (* 2.0 PI) u2)
691.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify51.0ms

Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619
done5001619

prune344.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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
5×div-exp
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×unpow-prod-down frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv associate-/l* sqr-pow
Counts
4 → 75
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)
14.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
17.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
461.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
263.0ms
(pow (* -2.0 (log u1)) 0.5)
695.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
36.0ms
(* (* 2.0 PI) u2)

simplify46.0ms

Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405555
11722486
25001486
done5001486

prune287.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.3b
(* (* 2.0 PI) u2)
0.4b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
99×prod-exp
40×pow-exp
29×add-sqr-sqrt
23×add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×pow-to-exp times-frac div-exp
15×associate-*l*
13×pow-unpow associate-*r*
12×pow1
10×cbrt-unprod
5×sqr-pow
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down associate-*l/ *-commutative
2×cbrt-undiv pow-pow div-inv
Counts
4 → 148
Calls
4 calls:
9.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
16.0ms
(* (* 2.0 PI) u2)
53.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
22.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series1.7s

Counts
4 → 12
Calls
4 calls:
262.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
32.0ms
(* (* 2.0 PI) u2)
690.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
745.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify63.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06211391
123981066
250011059
done50011059

prune439.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) u2)
0.3b
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))
0.4b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
32×prod-exp
23×add-cbrt-cube
22×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
11×pow1 times-frac associate-*r*
10×cbrt-unprod
8×div-exp pow-exp
5×add-log-exp
4×expm1-log1p-u pow-to-exp pow-prod-down log1p-expm1-u unswap-sqr
3×associate-*l/ *-commutative sqr-pow
2×cbrt-undiv
1×unpow-prod-down exp-prod exp-to-pow exp-sqrt associate-*r/ div-inv rem-exp-log
Counts
4 → 104
Calls
4 calls:
18.0ms
(* (* 2.0 PI) u2)
4.0ms
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))
56.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
22.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series1.7s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 2.0 PI) u2)
273.0ms
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))
715.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
709.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify54.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04961027
12111817
25001769
done5001769

prune414.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes335.0ms

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

sample961.0ms

Algorithm
intervals
Results
650.0ms8000×body80valid
115.0ms8000×pre80true