Details

Time bar (total: 5.5s)

analyze312.0ms

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

sample49.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
11.0ms256×pre80true

simplify483.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0487219
1487219

prune10.0ms

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:

0.1b
(+ (* (* (/ 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)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite32.0ms

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:
10.0ms
(+ (* (* (/ 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))

series232.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
35.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
112.0ms
(* (/ 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

prune216.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh000
Picked101
Done000
Total937100

Merged error: 0.0b

Counts
100 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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)
14.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
10.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
108.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
105.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050901398

prune294.0ms

Filtered
81 candidates to 124 candidates (-53.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh336
Picked011
Done000
Total1256131

Merged error: 0b

Counts
131 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
149×add-exp-log
98×prod-exp
38×pow-exp
23×add-cbrt-cube
22×add-sqr-sqrt
20×div-exp
19×pow-to-exp
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×times-frac
10×cbrt-unprod
9×pow1
6×add-log-exp
4×unswap-sqr sqr-pow
3×pow-prod-down associate-*l/ *-commutative
2×cbrt-undiv unpow-prod-down
1×+-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 124
Calls
4 calls:
16.0ms
(+ (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(* (* 2.0 PI) u2)
102.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
103.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 1/2 0.5)))

simplify60.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049561781
149561781

prune225.0ms

Filtered
70 candidates to 136 candidates (-94.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh044
Picked011
Done011
Total1366142

Merged error: 0b

Counts
142 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:
9.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))
22.0ms
(* (/ 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))
29.0ms
(/ (- (* (/ 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))

series422.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (pow (* -2.0 (log u1)) 0.5) (* (/ 1.0 6.0) (cos (* 2.0 (* PI u2)))))
81.0ms
(* (/ 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))))))
98.0ms
(* (pow (* -2.0 (log u1)) (* 0.5 2)) (/ 1.0 6.0))
169.0ms
(/ (- (* (/ 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))

simplify85.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049866030
149866030

prune627.0ms

Filtered
110 candidates to 203 candidates (-84.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2030203
Fresh033
Picked011
Done022
Total2036209

Merged error: 0b

Counts
209 → 6

regimes439.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02725
12725

end0.0ms

sample1.2s

Algorithm
intervals
Results
793.0ms8000×body80valid
198.0ms8000×pre80true

Profiling

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