Details

Time bar (total: 11.4s)

sample293.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
5.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

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

rewrite54.0ms

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:
19.0ms
(+ (* (* (/ 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))

series1.4s

Counts
4 → 12
Calls
4 calls:
451.0ms
(+ (* (* (/ 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)
32.0ms
(* (* 2.0 PI) u2)
690.0ms
(* (/ 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

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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

rewrite31.0ms

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)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
8.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
455.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
262.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
698.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0456597
12028527
25001525

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* 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)))))

rewrite73.0ms

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:
19.0ms
(+ (* 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)
14.0ms
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
3.0ms
(* u2 PI)
29.0ms
(* 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)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
585.0ms
(+ (* 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)
1.2s
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
25.0ms
(* u2 PI)
615.0ms
(* 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)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
05891613
117581497
250021497

prune318.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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)))))
0.4b
(* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))
0.5b
(/ (+ (- (* 0.5 0.5)) (* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))) (- (* 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))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
782×add-exp-log
752×prod-exp
295×pow-exp
145×pow-to-exp
34×add-cbrt-cube
19×cbrt-unprod
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×pow1
9×times-frac
7×associate-*l*
5×associate-*r* pow-prod-down
4×add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv neg-sub0 associate-+l- flip3-- frac-2neg flip3-+ div-sub div-exp clear-num cos-mult flip-- flip-+ div-inv unswap-sqr
Counts
4 → 252
Calls
4 calls:
3.0ms
(* u2 PI)
28.0ms
(* 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)))))
89.0ms
(* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))
72.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))) (- (* 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))

series2.2s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* u2 PI)
632.0ms
(* 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)))))
538.0ms
(* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))
961.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))) (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5))) (* 0.16666666666666666 0.16666666666666666))) (- (* 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))

simplify148.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
011885840
140305208
250015202

prune574.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes413.0ms

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

sample905.0ms

Algorithm
intervals
Results
633.0ms8000×body80valid
124.0ms8000×pre80true