Details

Time bar (total: 5.9s)

analyze433.0ms

Algorithm
search
sampling

Space saved by range analysis: 93.762201%

Space saved by search: 93.762201%

Guaranteed chance to sample good point: 99.21875%

sample45.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
7.0ms256×pre80true

simplify420.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize19.0ms

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

rewrite50.0ms

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:
8.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
25.0ms
(* (* 2.0 PI) u2)
9.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series223.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
34.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
107.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0514738
12154656
25001648

prune203.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh000
Picked101
Done000
Total937100

Merged error: 0.0b

Counts
100 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
11.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
9.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
101.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
99.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify55.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454932
11787832
25002819

prune276.0ms

Filtered
83 candidates to 124 candidates (-49.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh246
Picked011
Done000
Total1247131

Merged error: 0b

Counts
131 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.4b
(/ (+ (neg (* 0.5 0.5)) (* (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
54×prod-exp
35×add-sqr-sqrt
34×add-cbrt-cube
23×add-cube-cbrt *-un-lft-identity times-frac
21×div-exp
19×associate-*l*
14×pow-exp cbrt-unprod
13×associate-*r*
9×pow1
8×unswap-sqr
7×pow-to-exp
6×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative div-inv associate-/l*
2×unpow-prod-down associate-*l/ associate-/r/ associate-/l/
1×neg-sub0 associate-+l- flip3-- frac-2neg flip3-+ div-sub clear-num flip-- flip-+
Counts
4 → 139
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
7.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
16.0ms
(/ (+ (neg (* 0.5 0.5)) (* (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

series356.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) u2)
96.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
95.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
162.0ms
(/ (+ (neg (* 0.5 0.5)) (* (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify145.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010362620
149862281
250022281

prune529.0ms

Filtered
97 candidates to 151 candidates (-55.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh055
Picked011
Done011
Total1517158

Merged error: 0b

Counts
158 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)))
0.6b
(/ (* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5))) (sqrt 6.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
24×prod-exp
23×add-cbrt-cube
19×sqrt-prod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-*l*
15×times-frac
14×pow1
9×cbrt-unprod
6×div-exp pow-exp associate-/r*
5×pow-prod-down
4×associate-*r* add-log-exp
3×cbrt-undiv pow-to-exp pow-unpow
2×pow-pow sqrt-div associate-*l/ *-commutative div-inv
1×unpow-prod-down frac-2neg clear-num associate-/l/ associate-/l* sqr-pow
Counts
4 → 102
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)))
11.0ms
(/ (* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5))) (sqrt 6.0))

series244.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
100.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)))
106.0ms
(/ (* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5))) (sqrt 6.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0527971
12140869
25001856

prune210.0ms

Filtered
69 candidates to 114 candidates (-65.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done022
Total1147121

Merged error: 0b

Counts
121 → 7

regimes745.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

analyze230.0ms

Algorithm
search
sampling

Space saved by range analysis: 93.762201%

Space saved by search: 93.762201%

Guaranteed chance to sample good point: 99.21875%

sample1.2s

Algorithm
intervals
Results
830.0ms8000×body80valid
194.0ms8000×pre80true

Profiling

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