Details

Time bar (total: 4.6s)

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

sample46.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
7.0ms256×pre80true

simplify493.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0487219
1487219

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize19.0ms

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))))
0.1b
(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))

rewrite32.0ms

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:
4.0ms
(+ 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)
17.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

series202.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
35.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
88.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049571396
149571396

prune211.0ms

Filtered
67 candidates to 99 candidates (-47.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh101
Picked101
Done000
Total929101

Merged error: 0b

Counts
101 → 9

localize17.0ms

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)))
0.1b
(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:
4.0ms
(+ 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)
4.0ms
(* PI u2)
7.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

series175.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
34.0ms
(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)

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049681043
149681043

prune155.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh178
Picked011
Done000
Total82991

Merged error: 0b

Counts
91 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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)
4.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
8.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
115.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
71.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify84.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049413391
149413391

prune443.0ms

Filtered
141 candidates to 182 candidates (-29.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1811182
Fresh167
Picked011
Done011
Total1829191

Merged error: 0b

Counts
191 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
38×associate-*r*
30×add-exp-log sqrt-prod
25×add-cube-cbrt *-un-lft-identity
20×times-frac
17×prod-exp
15×add-cbrt-cube
12×associate-*l*
10×pow1
8×unswap-sqr
6×cbrt-unprod
5×sqrt-div
4×associate-*r/ pow-exp *-commutative add-log-exp sqr-pow
3×pow-prod-down
2×pow-to-exp div-inv
1×frac-times unpow-prod-down associate-*l/
Counts
4 → 113
Calls
4 calls:
4.0ms
(* PI u2)
3.0ms
(* PI u2)
14.0ms
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0))) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0)))
9.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI u2)
2.0ms
(* PI u2)
74.0ms
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0))) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0)))
79.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ (cos (* 2.0 (* PI u2))) 6.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049761843
149761843

prune256.0ms

Filtered
82 candidates to 125 candidates (-52.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh066
Picked011
Done022
Total1259134

Merged error: 0b

Counts
134 → 9

regimes359.0ms

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
02419
12419

end0.0ms

sample1.1s

Algorithm
intervals
Results
779.0ms8000×body80valid
195.0ms8000×pre80true

Profiling

Loading profile data...