Details

Time bar (total: 10.8s)

sample298.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
4.0ms256×pre80true

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

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))

rewrite57.0ms

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:
30.0ms
(+ (* (* (/ 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)
6.0ms
(* (* 2.0 PI) u2)
12.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

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)
262.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
681.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0523772
12229700
25001697

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (* 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)
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×div-exp
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down fma-def frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 79
Calls
4 calls:
12.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
457.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
254.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
692.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0472641
12101569
25002564

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* *-commutative div-inv associate-/l*
2×unpow-prod-down associate-*l/ associate-/r/
1×flip3-- frac-2neg clear-num flip--
Counts
4 → 144
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
18.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
11.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
40.0ms
(/ (fma (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (- (* 0.5 0.5))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

series2.3s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* 2.0 PI) u2)
692.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
684.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
854.0ms
(/ (fma (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5))) (- (* 0.5 0.5))) (- (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify114.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
09442481
141102193
250022164

prune698.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(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))))
0.5b
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
161×add-exp-log
110×prod-exp
50×pow-exp
30×add-sqr-sqrt
25×pow-to-exp
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×times-frac associate-*l*
17×div-exp
14×pow1
13×pow-unpow
10×cbrt-unprod
9×associate-*r* sqr-pow
6×pow-prod-down unswap-sqr
5×unpow-prod-down swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv pow-pow div-inv
1×pow2 associate-*l/ pow-sqr pow-prod-up
Counts
4 → 165
Calls
4 calls:
3.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
6.0ms
(* (* 2.0 PI) u2)
18.0ms
(* (/ 1.0 6.0) (* (pow (* -2.0 (log u1)) (/ 0.5 2)) (pow (* -2.0 (log u1)) (/ 0.5 2))))
12.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series1.7s

Counts
4 → 12
Calls
4 calls:
263.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
38.0ms
(* (* 2.0 PI) u2)
702.0ms
(* (/ 1.0 6.0) (* (pow (* -2.0 (log u1)) (/ 0.5 2)) (pow (* -2.0 (log u1)) (/ 0.5 2))))
667.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify73.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07041451
126101126
250011070

prune430.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes334.0ms

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
02410
12410

end0.0ms

sample901.0ms

Algorithm
intervals
Results
621.0ms8000×body80valid
135.0ms8000×pre80true