Details

Time bar (total: 10.8s)

sample298.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify66.0ms

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:

0.1b
(+ (* (* (/ 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))

rewrite119.0ms

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)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
26.0ms
(* (* 2.0 PI) u2)
25.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.3s

Counts
4 → 12
Calls
4 calls:
422.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
245.0ms
(pow (* -2.0 (log u1)) 0.5)
30.0ms
(* (* 2.0 PI) u2)
651.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify59.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 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)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.2b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

rewrite83.0ms

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:
49.0ms
(+ (* (* 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)
17.0ms
(* (* 2.0 PI) u2)
9.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.3s

Counts
4 → 12
Calls
4 calls:
421.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
243.0ms
(pow (* -2.0 (log u1)) 0.5)
29.0ms
(* (* 2.0 PI) u2)
645.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0438710
11838655
25001655

prune302.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))) 0.5)
0.1b
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
0.2b
(* u2 PI)
0.3b
(* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
195×add-exp-log
182×prod-exp
118×pow-exp
58×pow-to-exp
11×add-cbrt-cube
10×add-sqr-sqrt
9×pow1
8×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×associate-*r* pow-prod-down cbrt-unprod
3×pow-unpow
2×pow-pow *-commutative
1×+-commutative unpow-prod-down flip3-+ sum-log flip-+ unswap-sqr sqr-pow
Counts
4 → 124
Calls
4 calls:
74.0ms
(+ (* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))) 0.5)
28.0ms
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
8.0ms
(* u2 PI)
108.0ms
(* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))))

series2.2s

Counts
4 → 12
Calls
4 calls:
538.0ms
(+ (* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))) 0.5)
1.1s
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
18.0ms
(* u2 PI)
563.0ms
(* 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05891613
117581497
250021497

prune293.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
19×exp-sum
11×pow1 add-cbrt-cube
10×unpow-prod-down sqr-pow
8×div-exp
5×rem-log-exp prod-exp associate-/l*
4×exp-prod pow-exp add-log-exp
3×associate-*r* pow-prod-down associate-/r* cbrt-unprod div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv frac-2neg exp-diff associate-*l* clear-num *-commutative rem-exp-log
Counts
4 → 121
Calls
4 calls:
17.0ms
(* (* 2.0 PI) u2)
8.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
4.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
6.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))

series2.1s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* 2.0 PI) u2)
668.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
784.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
652.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04241003
11447946
25001917

prune448.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes289.0ms

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

sample968.0ms

Algorithm
intervals
Results
650.0ms8000×body80valid
117.0ms8000×pre80true