Details

Time bar (total: 11.0s)

sample350.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
5.0ms256×pre80true

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

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)
0.3b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite120.0ms

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:
57.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
11.0ms
(pow (* -2.0 (log u1)) 0.5)
18.0ms
(* (* 2.0 PI) u2)
27.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
480.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
267.0ms
(pow (* -2.0 (log u1)) 0.5)
40.0ms
(* (* 2.0 PI) u2)
714.0ms
(* (/ 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

prune321.0ms

Pruning

6 alts after pruning (6 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 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
0.3b
(* (* 2.0 PI) u2)

rewrite90.0ms

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:
51.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
9.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
21.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
473.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
271.0ms
(pow (* -2.0 (log u1)) 0.5)
699.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
34.0ms
(* (* 2.0 PI) u2)

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0438710
11838655
25001655

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (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))
0.3b
(* (* 2.0 PI) u2)

rewrite121.0ms

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:
6.0ms
(pow (* -2.0 (log u1)) 0.5)
62.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
27.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
22.0ms
(* (* 2.0 PI) u2)

series1.8s

Counts
4 → 12
Calls
4 calls:
268.0ms
(pow (* -2.0 (log u1)) 0.5)
739.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
717.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
38.0ms
(* (* 2.0 PI) u2)

simplify58.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0447924
11791827
25001823

prune432.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×prod-exp
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
11×pow1 times-frac
9×rem-log-exp
8×div-exp associate-*r* pow-exp
5×cbrt-unprod
4×pow-to-exp exp-prod add-log-exp unswap-sqr
3×pow-prod-down associate-*l/ sqr-pow
2×log-div log-prod log-pow *-commutative
1×cbrt-undiv unpow-prod-down exp-diff exp-sum div-inv rem-exp-log
Counts
4 → 92
Calls
4 calls:
17.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
17.0ms
(* (* 2.0 PI) u2)
34.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
23.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.4s

Counts
4 → 12
Calls
4 calls:
850.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
41.0ms
(* (* 2.0 PI) u2)
728.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
732.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify45.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0396631
11598565
25001564

prune333.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes328.0ms

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

sample983.0ms

Algorithm
intervals
Results
667.0ms8000×body80valid
117.0ms8000×pre80true