Details

Time bar (total: 10.4s)

sample282.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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)
0.2b
(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))

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:
29.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
460.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
263.0ms
(pow (* -2.0 (log u1)) 0.5)
34.0ms
(* (* 2.0 PI) u2)
712.0ms
(* (/ 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

prune323.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

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

rewrite34.0ms

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:
17.0ms
(+ (* (* 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)
6.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
471.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
272.0ms
(pow (* -2.0 (log u1)) 0.5)
39.0ms
(* (* 2.0 PI) u2)
709.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0438710
11838655
25001655

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
15×times-frac
9×pow1
8×add-cbrt-cube
6×add-log-exp
5×unpow-prod-down associate-/l* sqr-pow
4×div-exp pow-exp
3×pow-unpow associate-*r* associate-*l* prod-exp associate-/r*
2×pow-to-exp pow-pow pow-prod-down
1×cbrt-undiv +-commutative frac-2neg flip3-+ clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
4 → 84
Calls
4 calls:
18.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* 2.0 (* u2 PI)))) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* u2 PI)
4.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
462.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* 2.0 (* u2 PI)))) 0.5)
264.0ms
(pow (* -2.0 (log u1)) 0.5)
21.0ms
(* u2 PI)
710.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0400686
11545640
25001640

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
37×add-sqr-sqrt
35×add-cube-cbrt *-un-lft-identity
23×add-exp-log
19×exp-sum
10×unpow-prod-down sqr-pow
8×pow1 div-exp add-cbrt-cube
5×rem-log-exp associate-/l*
4×exp-prod pow-exp add-log-exp
3×associate-*r* associate-*l* prod-exp associate-/r* div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv frac-2neg exp-diff pow-prod-down clear-num *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 121
Calls
4 calls:
3.0ms
(* u2 PI)
4.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
4.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
3.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* u2 PI)
728.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
718.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
836.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0383979
11157931
24364901
35001901

prune472.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes471.0ms

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

sample940.0ms

Algorithm
intervals
Results
664.0ms8000×body80valid
131.0ms8000×pre80true