Details

Time bar (total: 11.3s)

sample286.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize19.0ms

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

rewrite47.0ms

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:
23.0ms
(+ (* (* (/ 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))

series1.4s

Counts
4 → 12
Calls
4 calls:
446.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
259.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
686.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0507728
12155656
25001656

prune314.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New93699
Fresh000
Picked011
Done000
Total937100

Merged error: 0.0b

Counts
100 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.2b
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.2b
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

rewrite34.0ms

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)
5.0ms
(* (* 2.0 PI) u2)
12.0ms
(* (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))

series1.7s

Counts
4 → 12
Calls
4 calls:
258.0ms
(pow (* -2.0 (log u1)) 0.5)
38.0ms
(* (* 2.0 PI) u2)
719.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
687.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0447924
11791827
25002823

prune426.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh145
Picked011
Done011
Total1247131

Merged error: 0.0b

Counts
131 → 7

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
54×prod-exp
35×add-sqr-sqrt
34×add-cbrt-cube
23×add-cube-cbrt *-un-lft-identity times-frac
21×div-exp
19×associate-*l*
14×pow-exp cbrt-unprod
13×associate-*r*
9×pow1
8×unswap-sqr
7×pow-to-exp
6×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative div-inv associate-/l*
2×unpow-prod-down associate-*l/ associate-/r/ associate-/l/
1×neg-sub0 associate-+l- flip3-- frac-2neg flip3-+ div-sub clear-num flip-- flip-+
Counts
4 → 139
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
11.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
18.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 PI) u2)
701.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
689.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
764.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify139.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09932537
147612196
250012196

prune716.0ms

Filtered
151 candidates to 99 candidates (65.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1492151
Fresh134
Picked011
Done022
Total1508158

Merged error: 0b

Counts
158 → 8

localize20.0ms

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
(* (* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5))) (sqrt (pow (* -2.0 (log u1)) 0.5)))
0.4b
(* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×add-exp-log
23×add-cbrt-cube
19×pow1 associate-*r*
17×add-cube-cbrt *-un-lft-identity
15×associate-*l*
14×sqrt-prod
12×times-frac
11×prod-exp
10×cbrt-unprod
8×pow-prod-down
6×unswap-sqr
5×sqr-pow
4×add-log-exp
3×unpow-prod-down pow-unpow associate-*l/ *-commutative
2×cbrt-undiv pow-pow div-exp pow-exp
1×pow-to-exp div-inv
Counts
4 → 102
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
11.0ms
(* (* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5))) (sqrt (pow (* -2.0 (log u1)) 0.5)))
9.0ms
(* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5)))

series1.7s

Counts
4 → 12
Calls
4 calls:
261.0ms
(pow (* -2.0 (log u1)) 0.5)
38.0ms
(* (* 2.0 PI) u2)
698.0ms
(* (* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5))) (sqrt (pow (* -2.0 (log u1)) 0.5)))
707.0ms
(* (/ 1.0 6.0) (sqrt (pow (* -2.0 (log u1)) 0.5)))

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0489878
12083749
25001745

prune363.0ms

Filtered
114 candidates to 76 candidates (66.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1122114
Fresh224
Picked101
Done123
Total1166122

Merged error: 0b

Counts
122 → 6

regimes598.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample944.0ms

Algorithm
intervals
Results
670.0ms8000×body80valid
123.0ms8000×pre80true