Details

Time bar (total: 9.8s)

sample283.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.4b

Counts
2 → 1

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)
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×*-commutative
4×unpow-prod-down
3×associate-*r* associate-*l* associate-*l/
2×sqr-pow
1×pow-to-exp frac-2neg clear-num fma-udef div-inv
Counts
4 → 16
Calls
4 calls:
1.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
7.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
488.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
272.0ms
(pow (* -2.0 (log u1)) 0.5)
35.0ms
(* (* 2.0 PI) u2)
743.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify67.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0190145
1593144
22482139
35001132

prune104.0ms

Filtered
28 candidates to 23 candidates (82.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.1b

Counts
29 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (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 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×unpow-prod-down
5×*-commutative div-inv
3×times-frac associate-/r/ associate-/l* sqr-pow
2×frac-2neg associate-*l* clear-num
1×pow-to-exp associate-/r* fma-udef
Counts
4 → 21
Calls
4 calls:
1.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* (* 2.0 PI) u2)) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))

series1.5s

Counts
4 → 12
Calls
4 calls:
475.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* (* 2.0 PI) u2)) 0.5)
277.0ms
(pow (* -2.0 (log u1)) 0.5)
33.0ms
(* (* 2.0 PI) u2)
729.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0200181
1587177
22450172
35001170

prune140.0ms

Filtered
33 candidates to 29 candidates (87.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh033
Picked011
Done101
Total31738

Merged error: 0.0b

Counts
38 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.2b
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×div-inv
10×unpow-prod-down associate-/r* associate-/r/
7×clear-num *-commutative associate-/l/
6×times-frac
5×frac-2neg sqr-pow
2×associate-*l* remove-double-div associate-/l*
1×pow-to-exp inv-pow
Counts
4 → 40
Calls
4 calls:
7.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))
4.0ms
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))

series1.8s

Counts
4 → 12
Calls
4 calls:
269.0ms
(pow (* -2.0 (log u1)) 0.5)
39.0ms
(* (* 2.0 PI) u2)
718.0ms
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))
796.0ms
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))

simplify59.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0199218
1567216
22157207
35001198

prune187.0ms

Filtered
52 candidates to 41 candidates (78.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New50252
Fresh235
Picked011
Done011
Total52759

Merged error: 0.0b

Counts
59 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.2b
(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
0.3b
(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
0.3b
(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-/r*
6×sqr-pow
5×associate-*r* *-commutative
4×div-inv
3×associate-*l*
2×pow-to-exp unpow-prod-down frac-2neg clear-num inv-pow
1×rec-exp pow-flip pow-prod-down prod-exp unswap-sqr
Counts
4 → 25
Calls
4 calls:
3.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
6.0ms
(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
4.0ms
(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

series2.4s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 2.0 PI) u2)
729.0ms
(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
776.0ms
(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
813.0ms
(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

simplify76.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0226198
1674195
23327195
35001186

prune132.0ms

Filtered
37 candidates to 27 candidates (73.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New35237
Fresh134
Picked011
Done112
Total37744

Merged error: 0.0b

Counts
44 → 7

regimes272.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1209

end0.0ms

sample945.0ms

Algorithm
intervals
Results
661.0ms8000×body80valid
130.0ms8000×pre80true