Details

Time bar (total: 4.7s)

analyze320.0ms

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

sample46.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
7.0ms256×pre80true

simplify525.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0487219
1487219

prune12.0ms

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:

0.1b
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
0.1b
(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))

rewrite25.0ms

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)
4.0ms
(* PI u2)
10.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

series218.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
38.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
100.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051891405

prune216.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 0.0b

Counts
100 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.2b
(/ (* (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)
7.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

series180.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ 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)
69.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049611052
149611052

prune157.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh268
Picked011
Done000
Total82991

Merged error: 0b

Counts
91 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
36×times-frac
32×div-exp
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
22×prod-exp
20×add-cbrt-cube
10×pow1 pow-exp
8×associate-/r*
7×cbrt-undiv
6×rec-exp 1-exp div-inv associate-/l*
5×pow-to-exp
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* cbrt-unprod
2×pow-pow frac-2neg pow-prod-down clear-num
1×unpow-prod-down pow-flip associate-/r/ *-commutative inv-pow unswap-sqr sqr-pow
Counts
4 → 124
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
4.0ms
(* PI u2)
6.0ms
(/ 6.0 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)))
9.0ms
(/ 1 (/ 6.0 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
83.0ms
(/ 6.0 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)))
71.0ms
(/ 1 (/ 6.0 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5))))

simplify56.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051331991

prune202.0ms

Filtered
76 candidates to 136 candidates (-78.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh167
Picked011
Done011
Total1369145

Merged error: 0b

Counts
145 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.2b
(/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)))
0.4b
(/ (/ 1 6.0) (/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
253×add-exp-log
208×times-frac
146×div-exp
95×add-sqr-sqrt
93×add-cube-cbrt *-un-lft-identity
77×prod-exp
41×rec-exp 1-exp
32×pow-exp add-cbrt-cube
24×div-inv
16×pow-to-exp associate-/l*
15×cbrt-undiv
10×pow1
8×associate-/r*
4×cbrt-unprod add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow-pow frac-2neg pow-prod-down clear-num
1×unpow-prod-down pow-flip associate-/r/ *-commutative associate-/l/ inv-pow unswap-sqr sqr-pow
Counts
4 → 264
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
6.0ms
(/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)))
13.0ms
(/ (/ 1 6.0) (/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
77.0ms
(/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)))
70.0ms
(/ (/ 1 6.0) (/ 1 (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5))))

simplify100.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049485315
149485315

prune317.0ms

Filtered
108 candidates to 276 candidates (-155.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2751276
Fresh246
Picked101
Done022
Total2787285

Merged error: 0b

Counts
285 → 7

regimes318.0ms

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
02419
12419

end0.0ms

analyze121.0ms

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
840.0ms8000×body80valid
196.0ms8000×pre80true

Profiling

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