Details

Time bar (total: 5.5s)

analyze307.0ms

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

sample69.0ms

Algorithm
intervals
Results
40.0ms256×body80valid
10.0ms256×pre80true

simplify546.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

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
(+ (* (* (/ 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))

rewrite44.0ms

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

series221.0ms

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)
105.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify59.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049541183
149541183

prune211.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh101
Picked101
Done000
Total938101

Merged error: 0b

Counts
101 → 8

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)

rewrite23.0ms

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:
8.0ms
(+ (* (* 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)
4.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series217.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
37.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
98.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052651167

prune193.0ms

Filtered
68 candidates to 96 candidates (-41.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh257
Picked011
Done000
Total977104

Merged error: 0b

Counts
104 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (* 1/2 0.5))
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0)
0.3b
(* (pow (* -2.0 (log u1)) (* 1/2 0.5)) (/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
36×add-sqr-sqrt
34×times-frac prod-exp
25×add-cube-cbrt *-un-lft-identity
22×associate-*r* pow-exp
20×div-exp
16×add-cbrt-cube
14×sqr-pow
12×pow1
11×pow-to-exp
9×unpow-prod-down
6×associate-*l* unswap-sqr
5×cbrt-unprod associate-/l*
4×pow-prod-down add-log-exp
3×associate-/r*
2×cbrt-undiv pow-pow *-commutative div-inv
1×pow-unpow frac-2neg associate-*r/ clear-num
Counts
4 → 132
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) (* 1/2 0.5))
7.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0)
11.0ms
(* (pow (* -2.0 (log u1)) (* 1/2 0.5)) (/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0))

series229.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(pow (* -2.0 (log u1)) (* 1/2 0.5))
3.0ms
(* (* 2.0 PI) u2)
96.0ms
(/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0)
96.0ms
(* (pow (* -2.0 (log u1)) (* 1/2 0.5)) (/ (pow (* -2.0 (log u1)) (* 1/2 0.5)) 6.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050021828

prune299.0ms

Filtered
91 candidates to 144 candidates (-58.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh055
Picked011
Done011
Total1447151

Merged error: 0b

Counts
151 → 7

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
259×add-exp-log
165×prod-exp
85×add-cbrt-cube
47×cbrt-unprod
44×div-exp
36×add-sqr-sqrt
29×times-frac
28×add-cube-cbrt *-un-lft-identity
26×pow-exp
23×associate-*l*
15×associate-*r*
14×cbrt-undiv
13×pow1 pow-to-exp
11×associate-*r/
6×pow-prod-down
5×frac-times
4×distribute-rgt-in sqr-cos-a distribute-lft-in associate-*l/ cos-mult add-log-exp unswap-sqr sqr-pow
3×associate-/r* *-commutative div-inv associate-/l*
2×unpow-prod-down flip3-- associate-/r/ flip-- associate-/l/
1×frac-2neg div-sub clear-num
Counts
4 → 191
Calls
4 calls:
19.0ms
(* (/ 1.0 6.0) (* (* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0)) (* (cos (* 2.0 (* PI u2))) (cos (* 2.0 (* PI u2))))))
8.0ms
(* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0))
9.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))
27.0ms
(/ (- (* (/ 1.0 6.0) (* (* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0)) (* (cos (* 2.0 (* PI u2))) (cos (* 2.0 (* PI u2)))))) (* 0.5 0.5)) (- (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2))))) 0.5))

series408.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (/ 1.0 6.0) (* (* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0)) (* (cos (* 2.0 (* PI u2))) (cos (* 2.0 (* PI u2))))))
94.0ms
(* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0))
74.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))
163.0ms
(/ (- (* (/ 1.0 6.0) (* (* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0)) (* (cos (* 2.0 (* PI u2))) (cos (* 2.0 (* PI u2)))))) (* 0.5 0.5)) (- (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2))))) 0.5))

simplify95.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049926089
149926089

prune573.0ms

Filtered
111 candidates to 203 candidates (-82.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2030203
Fresh044
Picked011
Done022
Total2037210

Merged error: 0b

Counts
210 → 7

regimes424.0ms

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

analyze117.0ms

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

sample1.1s

Algorithm
intervals
Results
795.0ms8000×body80valid
192.0ms8000×pre80true

Profiling

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