Details

Time bar (total: 12.1s)

sample297.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
7.0ms256×pre80true

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

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)
0.2b
(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))

rewrite55.0ms

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:
28.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 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:
456.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
258.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
698.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656

prune331.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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

rewrite32.0ms

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:
18.0ms
(+ (* (* 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)
6.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
456.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
263.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
687.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0438710
11838655
25001655

prune326.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

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
(/ (+ (- (* 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))

rewrite108.0ms

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:
7.0ms
(* (* 2.0 PI) u2)
18.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
68.0ms
(/ (+ (- (* 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:
31.0ms
(* (* 2.0 PI) u2)
697.0ms
(* (/ (* 1.0 1.0) (* 6.0 6.0)) (pow (* -2.0 (log u1)) (* 2 0.5)))
690.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
768.0ms
(/ (+ (- (* 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))

simplify143.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09932537
147602196
250012196

prune698.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

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))
0.5b
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
0.7b
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×add-sqr-sqrt prod-exp
20×add-cbrt-cube
17×pow-exp
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
11×times-frac
10×pow1
8×cbrt-prod div-exp associate-*r*
7×cbrt-unprod
5×pow-to-exp sqr-pow
4×add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow pow-prod-down associate-*l/ rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow3 cube-prod *-commutative
1×cbrt-div pow-pow pow1/3 rem-cbrt-cube div-inv
Counts
4 → 107
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
2.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
6.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

series2.2s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 PI) u2)
712.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
702.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
788.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0483781
12025740
25002738

prune386.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes506.0ms

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

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid
209.0ms8000×pre80true