Details

Time bar (total: 5.6s)

sample479.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 93.762201%

Space saved by search: 93.762201%

Guaranteed chance to sample good point: 0%

Results
27.0ms256×body80valid
7.0ms256×pre80true

simplify410.0ms

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:

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

rewrite39.0ms

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)
5.0ms
(* (* 2.0 PI) u2)
19.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series222.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (* (* (/ 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)
106.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify59.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0514738
12154656
25001648

prune197.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh000
Picked011
Done000
Total928100

Merged error: 0b

Counts
100 → 8

localize19.0ms

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

rewrite32.0ms

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)
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))
5.0ms
(* (* 2.0 PI) u2)

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (* -2.0 (log u1)) 0.5)
99.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
98.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
5.0ms
(* (* 2.0 PI) u2)

simplify53.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0454932
11787832
25001819

prune254.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh516
Picked011
Done011
Total1284132

Merged error: 0b

Counts
132 → 4

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:
7.0ms
(* (* 2.0 PI) u2)
7.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
11.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
17.0ms
(/ (+ (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))

series353.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 2.0 PI) u2)
96.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
95.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
159.0ms
(/ (+ (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))

simplify141.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010362620
149872281
250012281

prune548.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done022
Total1514155

Merged error: 0b

Counts
155 → 4

localize22.0ms

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) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (* 2.0 PI) u2)
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)
10.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)))
4.0ms
(* (* 2.0 PI) u2)
11.0ms
(/ (* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5))) (sqrt 6.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (* -2.0 (log u1)) 0.5)
101.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)))
3.0ms
(* (* 2.0 PI) u2)
104.0ms
(/ (* (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 (47.0ms)

IterNodesCost
0527971
12140869
25001856

prune207.0ms

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

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done033
Total1144118

Merged error: 0b

Counts
118 → 4

regimes509.0ms

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

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 93.762201%

Space saved by search: 93.762201%

Guaranteed chance to sample good point: 0%

Results
810.0ms8000×body80valid
198.0ms8000×pre80true

Profiling

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