Details

Time bar (total: 4.7s)

analyze311.0ms

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

simplify503.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0487219
1487219

prune14.0ms

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

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)
0.3b
(* (* 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))

series221.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
33.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
107.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049491174
149491174

prune197.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh101
Picked101
Done000
Total938101

Merged error: 0.0b

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

rewrite26.0ms

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:
10.0ms
(+ (* (* 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)

series210.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
33.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
97.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049791158
149791158

prune185.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New93396
Fresh347
Picked011
Done000
Total968104

Merged error: 0b

Counts
104 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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)
11.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
4.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
5.0ms
(* (* 2.0 PI) u2)

series247.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(pow (* -2.0 (log u1)) 0.5)
96.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
115.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
3.0ms
(* (* 2.0 PI) u2)

simplify74.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049442530
149442530

prune350.0ms

Filtered
118 candidates to 194 candidates (-64.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh066
Picked011
Done011
Total1948202

Merged error: 0b

Counts
202 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))))
0.3b
(* PI u2)
0.3b
(exp (log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2))))))))
0.4b
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
24×prod-exp
15×add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1 associate-*l*
6×log-prod pow-exp cbrt-unprod
4×log-div exp-prod div-exp associate-*r* add-log-exp
3×pow-to-exp exp-sum
2×flip3-+ exp-diff log-pow *-commutative flip-+
1×cbrt-undiv unpow-prod-down associate-*r/ rem-log-exp pow-prod-down associate-*l/ rem-exp-log unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
3.0ms
(log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))))
3.0ms
(* PI u2)
4.0ms
(exp (log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2))))))))
9.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))))
2.0ms
(* PI u2)
76.0ms
(exp (log (+ 0.5 (* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2))))))))
73.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049951687
149951687

prune157.0ms

Filtered
59 candidates to 91 candidates (-54.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh055
Picked011
Done022
Total91899

Merged error: 0b

Counts
99 → 8

regimes436.0ms

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
02721
12721

end0.0ms

sample1.1s

Algorithm
intervals
Results
784.0ms8000×body80valid
195.0ms8000×pre80true

Profiling

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