Details

Time bar (total: 4.8s)

analyze315.0ms

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

sample48.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
7.0ms256×pre80true

simplify478.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0487219
1487219

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.4b

Counts
2 → 1

localize28.0ms

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

rewrite31.0ms

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:
9.0ms
(+ (* (* (/ 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)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series224.0ms

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)
108.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049491174
149491174

prune206.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New891099
Fresh000
Picked101
Done000
Total9010100

Merged error: 0b

Counts
100 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1
11×add-cbrt-cube
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
11.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series212.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
34.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
98.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049791158
149791158

prune193.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94296
Fresh279
Picked011
Done000
Total9610106

Merged error: 0b

Counts
106 → 10

localize22.0ms

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
22×associate-*l*
20×times-frac associate-*r*
19×prod-exp
16×add-cbrt-cube
14×pow1
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*r/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*l/
Counts
4 → 112
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
9.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))

series241.0ms

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)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
102.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050901398

prune270.0ms

Filtered
82 candidates to 124 candidates (-51.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh088
Picked011
Done011
Total12410134

Merged error: 0b

Counts
134 → 10

localize18.0ms

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 (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
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 182
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
4.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

series245.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
95.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
112.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

simplify68.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049442530
149442530

prune331.0ms

Filtered
119 candidates to 194 candidates (-63.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1931194
Fresh257
Picked101
Done022
Total1968204

Merged error: 0b

Counts
204 → 8

regimes438.0ms

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

sample1.1s

Algorithm
intervals
Results
787.0ms8000×body80valid
188.0ms8000×pre80true

Profiling

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