Details

Time bar (total: 4.9s)

analyze318.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
0%6.2%93.8%3
3.1%3.1%93.8%4
3.1%3.1%93.8%5
4.7%1.6%93.8%6
4.7%1.6%93.8%7
5.5%0.8%93.8%8
5.5%0.8%93.8%9
5.8%0.4%93.8%10
5.8%0.4%93.8%11
6%0.2%93.8%12
6%0.2%93.8%13
6.1%0.1%93.8%14

sample45.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
7.0ms256×pre80true

simplify513.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0487219
1487219

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.4b
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
25×add-sqr-sqrt
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×prod-exp
11×times-frac add-cbrt-cube
9×pow1
8×associate-*l*
6×pow-exp add-log-exp
5×unswap-sqr
4×div-exp sqr-pow
3×pow-to-exp pow-unpow cbrt-unprod
2×unpow-prod-down pow-pow pow-prod-down *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*r/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
3.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
10.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

series213.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
37.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
98.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051891405

prune225.0ms

Filtered
68 candidates to 99 candidates (-45.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New891099
Fresh000
Picked101
Done000
Total9010100

Merged error: 0.0b

Counts
100 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.3b
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
11×add-sqr-sqrt add-cbrt-cube
9×pow1 add-cube-cbrt *-un-lft-identity
7×prod-exp
6×add-log-exp
5×div-exp
4×pow-exp
3×pow-unpow times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow pow-prod-down cbrt-unprod
1×+-commutative unpow-prod-down frac-2neg flip3-+ clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
3.0ms
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
8.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

series177.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
35.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
68.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049611052
149611052

prune169.0ms

Filtered
55 candidates to 82 candidates (-49.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh189
Picked011
Done000
Total811192

Merged error: 0.0b

Counts
92 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
75×add-sqr-sqrt
73×add-cube-cbrt *-un-lft-identity
31×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
13×div-exp add-cbrt-cube
9×pow1
6×pow-exp div-inv associate-/l*
4×cbrt-undiv prod-exp add-log-exp
3×pow-to-exp pow-unpow associate-*r* associate-*l*
2×pow-pow frac-2neg pow-prod-down clear-num
1×associate-/r/ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 170
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
9.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
5.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

series225.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
68.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
117.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

simplify69.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051123400

prune464.0ms

Filtered
143 candidates to 182 candidates (-27.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1784182
Fresh549
Picked101
Done101
Total1858193

Merged error: 0.0b

Counts
193 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI u2)
0.2b
(/ (cos (* 2.0 (* PI u2))) (* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5))))
0.3b
(/ 1 (pow (* -2.0 (log u1)) 0.5))
0.4b
(* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
40×add-sqr-sqrt
38×div-exp
37×times-frac
36×prod-exp
30×*-un-lft-identity
28×add-cube-cbrt
22×associate-*r* add-cbrt-cube
18×pow-exp
12×rec-exp 1-exp
9×pow-to-exp sqr-pow
8×pow1
7×unpow-prod-down
6×cbrt-undiv associate-*l* associate-/r* associate-/l* unswap-sqr
5×cbrt-unprod
4×add-log-exp
3×div-inv
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
3.0ms
(* PI u2)
10.0ms
(/ (cos (* 2.0 (* PI u2))) (* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5))))
6.0ms
(/ 1 (pow (* -2.0 (log u1)) 0.5))
9.0ms
(* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI u2)
68.0ms
(/ (cos (* 2.0 (* PI u2))) (* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5))))
108.0ms
(/ 1 (pow (* -2.0 (log u1)) 0.5))
114.0ms
(* 6.0 (/ 1 (pow (* -2.0 (log u1)) 0.5)))

simplify59.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049751943
149751943

prune219.0ms

Filtered
90 candidates to 167 candidates (-85.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1670167
Fresh077
Picked011
Done000
Total1678175

Merged error: 0.0b

Counts
175 → 8

regimes341.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721
12721

end0.0ms

analyze119.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
0%6.2%93.8%3
3.1%3.1%93.8%4
3.1%3.1%93.8%5
4.7%1.6%93.8%6
4.7%1.6%93.8%7
5.5%0.8%93.8%8
5.5%0.8%93.8%9
5.8%0.4%93.8%10
5.8%0.4%93.8%11
6%0.2%93.8%12
6%0.2%93.8%13
6.1%0.1%93.8%14

sample1.2s

Algorithm
intervals
Results
810.0ms8000×body80valid
194.0ms8000×pre80true

Profiling

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