Details

Time bar (total: 4.7s)

analyze317.0ms

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

sample52.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
7.0ms256×pre80true

simplify490.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0487219
1487219

prune15.0ms

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

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))))
0.2b
(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))

rewrite44.0ms

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)
28.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ 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)
84.0ms
(* (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

prune219.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh101
Picked101
Done000
Total938101

Merged error: 0b

Counts
101 → 8

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

rewrite21.0ms

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:
5.0ms
(+ 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)
7.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)
4.0ms
(* PI u2)

series174.0ms

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)))
35.0ms
(pow (* -2.0 (log u1)) 0.5)
68.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms
(* PI u2)

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049681043
149681043

prune165.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh077
Picked011
Done000
Total82890

Merged error: 0b

Counts
90 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))))
0.2b
(* PI u2)
0.3b
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))
0.4b
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
146×add-exp-log
96×prod-exp
38×pow-exp
25×add-sqr-sqrt
21×associate-*l*
20×div-exp add-cbrt-cube
19×pow-to-exp
15×add-cube-cbrt *-un-lft-identity
11×times-frac
9×associate-*r*
8×cbrt-unprod
6×pow1 add-log-exp
5×unswap-sqr
4×sqr-pow
3×*-commutative
2×cbrt-undiv unpow-prod-down associate-*l/
1×+-commutative flip3-+ associate-*r/ pow-prod-down sum-log flip-+ div-inv
Counts
4 → 124
Calls
4 calls:
7.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))))
4.0ms
(* PI u2)
11.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))
9.0ms
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))))
2.0ms
(* PI u2)
78.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))))
71.0ms
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5)))

simplify69.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049562285
149562285

prune246.0ms

Filtered
72 candidates to 136 candidates (-88.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh066
Picked011
Done011
Total1368144

Merged error: 0b

Counts
144 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI u2)
0.4b
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5))
0.6b
(cbrt (pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
0.7b
(pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
26×add-sqr-sqrt
21×prod-exp
17×pow-exp add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity associate-*l*
11×times-frac
8×cbrt-prod div-exp associate-*r*
7×pow1
5×pow-to-exp cbrt-unprod unswap-sqr sqr-pow
4×add-log-exp
3×unpow-prod-down pow-unpow associate-*l/ rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow3 cube-prod *-commutative
1×cbrt-div pow-pow pow1/3 pow-prod-down rem-cbrt-cube div-inv
Counts
4 → 107
Calls
4 calls:
4.0ms
(* PI u2)
8.0ms
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(cbrt (pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
8.0ms
(pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

series221.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI u2)
66.0ms
(* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5))
65.0ms
(cbrt (pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
88.0ms
(pow (* (/ (cos (* 2.0 (* PI u2))) 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

simplify52.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
055161866

prune238.0ms

Filtered
79 candidates to 119 candidates (-50.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh055
Picked011
Done022
Total1198127

Merged error: 0b

Counts
127 → 8

regimes385.0ms

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

sample1.2s

Algorithm
intervals
Results
862.0ms8000×body80valid
212.0ms8000×pre80true

Profiling

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