Details

Time bar (total: 11.5s)

sample305.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
5.0ms256×pre80true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune4.0ms

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))

rewrite53.0ms

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)
2.0ms
(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:
446.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
254.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
676.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656

prune316.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

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)

rewrite26.0ms

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×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
11.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
450.0ms
(+ (* (/ (* 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)
36.0ms
(* (* 2.0 PI) u2)
675.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0456597
12028527
25001525

prune266.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.5b
(cbrt (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3))
0.7b
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
20×cbrt-prod add-cbrt-cube
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
14×unpow-prod-down cube-prod
13×prod-exp
10×pow1 div-exp pow-exp
5×cbrt-unprod div-inv
4×cbrt-undiv add-log-exp
3×pow-to-exp pow-unpow associate-*r* pow-prod-down associate-/r* rem-cube-cbrt
2×cube-div cube-mult unpow3 sqr-pow
1×cbrt-div pow-pow frac-2neg pow1/3 associate-*l* clear-num *-commutative rem-cbrt-cube associate-/l*
Counts
4 → 111
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms
(cbrt (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3))
5.0ms
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

series2.2s

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 2.0 PI) u2)
683.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
686.0ms
(cbrt (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3))
768.0ms
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

simplify65.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0495861
12299802
25002796

prune342.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.5b
(pow (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3) 1/3)
0.7b
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×unpow-prod-down
26×pow-exp
20×add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp
15×times-frac div-exp
14×cube-prod
10×pow1
6×pow-to-exp pow-unpow
5×cbrt-unprod div-inv
4×cbrt-undiv add-log-exp
3×associate-*r* pow-prod-down associate-/r* rem-cube-cbrt sqr-pow
2×cube-mult pow-pow unpow3
1×cube-div frac-2neg unpow1/3 associate-*l* clear-num *-commutative associate-/l*
Counts
4 → 123
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
7.0ms
(pow (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3) 1/3)
5.0ms
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

series2.5s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) u2)
700.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
978.0ms
(pow (pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3) 1/3)
764.0ms
(pow (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) 3)

simplify83.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0608982
12691855
25002847

prune344.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes432.0ms

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

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid
129.0ms8000×pre80true