Details

Time bar (total: 5.1s)

sample308.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
6.0ms256×pre80true

simplify457.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize21.0ms

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

rewrite30.0ms

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))

series230.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* (* (/ 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))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0514738
12154656
25001648

prune203.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 0b

Counts
100 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

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

series208.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
34.0ms
(pow (* -2.0 (log u1)) 0.5)
96.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
3.0ms
(* (* 2.0 PI) u2)

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0445720
11835655
25001647

prune190.0ms

Filtered
67 candidates to 96 candidates (-43.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh178
Picked011
Done000
Total969105

Merged error: 0b

Counts
105 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*l/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
11.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
9.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
5.0ms
(* (* 2.0 PI) u2)

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (* -2.0 (log u1)) 0.5)
102.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
98.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(* (* 2.0 PI) u2)

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454932
11787832
25001819

prune274.0ms

Filtered
83 candidates to 124 candidates (-49.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh077
Picked011
Done011
Total1249133

Merged error: 0b

Counts
133 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:
11.0ms
(+ (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(* (* 2.0 PI) u2)
96.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
97.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify78.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06271520
125371227
250011220

prune202.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh066
Picked011
Done022
Total1369145

Merged error: 0b

Counts
145 → 9

regimes747.0ms

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
02410
12410

end0.0ms

sample1.3s

Algorithm
intervals
Results
797.0ms8000×body80valid
203.0ms8000×pre80true

Profiling

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