Details

Time bar (total: 11.5s)

sample298.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
7.0ms256×pre80true

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.4b

Counts
2 → 1

localize20.0ms

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

rewrite49.0ms

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×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 96
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)
26.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
458.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
261.0ms
(pow (* -2.0 (log u1)) 0.5)
38.0ms
(* (* 2.0 PI) u2)
701.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0523772
12229700
25001697

prune339.0ms

Filtered
108 candidates to 80 candidates (74.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9810108
Fresh000
Picked101
Done000
Total9910109

Merged error: 0b

Counts
109 → 10

localize24.0ms

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)) (* (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))

rewrite36.0ms

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×expm1-log1p-u associate-*l/ log1p-expm1-u 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 → 120
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
10.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

series1.7s

Counts
4 → 12
Calls
4 calls:
260.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
730.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
702.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify55.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0455972
11801875
25001871

prune422.0ms

Filtered
132 candidates to 97 candidates (73.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh369
Picked011
Done000
Total1348142

Merged error: 0b

Counts
142 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
99×prod-exp
40×pow-exp
29×add-sqr-sqrt
23×add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×pow-to-exp times-frac div-exp
15×associate-*l*
13×pow-unpow associate-*r*
12×pow1
10×cbrt-unprod
5×sqr-pow
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down associate-*l/ *-commutative
2×cbrt-undiv pow-pow div-inv
Counts
4 → 148
Calls
4 calls:
5.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
5.0ms
(* (* 2.0 PI) u2)
11.0ms
(* (* (/ 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)))

series1.7s

Counts
4 → 12
Calls
4 calls:
260.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
38.0ms
(* (* 2.0 PI) u2)
691.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
696.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify66.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06211391
123981066
250011059

prune391.0ms

Filtered
160 candidates to 93 candidates (58.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh066
Picked011
Done011
Total1608168

Merged error: 0b

Counts
168 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (* (/ 1.0 6.0) (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))
0.4b
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
21×add-sqr-sqrt
14×associate-*l* add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity prod-exp
11×times-frac
9×pow1
8×associate-*r*
5×expm1-log1p-u cbrt-unprod
4×div-exp pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down sqr-pow
2×pow-to-exp *-commutative
1×cbrt-undiv unpow-prod-down log1p-udef expm1-log1p log1p-expm1 associate-*l/ div-inv expm1-udef
Counts
4 → 85
Calls
4 calls:
1.0ms
(log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
5.0ms
(* (* 2.0 PI) u2)
9.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
1.0ms
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

series2.5s

Counts
4 → 12
Calls
4 calls:
851.0ms
(log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
38.0ms
(* (* 2.0 PI) u2)
704.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
899.0ms
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))

simplify44.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0394641
11461570
25001570

prune291.0ms

Filtered
97 candidates to 71 candidates (73.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done022
Total978105

Merged error: 0b

Counts
105 → 8

regimes561.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample1.3s

Algorithm
intervals
Results
963.0ms8000×body80valid
191.0ms8000×pre80true