Details

Time bar (total: 10.7s)

sample280.0ms

Algorithm
intervals
Results
21.0ms256×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

prune4.0ms

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)
0.1b
(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))

rewrite33.0ms

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:
9.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
11.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
455.0ms
(+ (* (* (/ 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)
694.0ms
(* (/ 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

prune311.0ms

Pruning

7 alts after pruning (7 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
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.2b
(* (* 2.0 PI) u2)

rewrite25.0ms

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:
8.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
5.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
454.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
263.0ms
(pow (* -2.0 (log u1)) 0.5)
702.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
37.0ms
(* (* 2.0 PI) u2)

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0456597
12028527
25002525

prune252.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
33×prod-exp
32×pow-exp
14×pow-to-exp
11×add-sqr-sqrt add-cbrt-cube
10×pow1
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-log-exp
4×associate-*l* pow-prod-down cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 85
Calls
4 calls:
8.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
10.0ms
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
6.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))

series2.0s

Counts
4 → 12
Calls
4 calls:
449.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
865.0ms
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
683.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0509816
11966743
25002743

prune298.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.3b
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
0.4b
(* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
0.5b
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
78×prod-exp
48×pow-exp
21×pow-to-exp
20×add-sqr-sqrt
18×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
9×pow1 times-frac associate-*r* associate-*l*
7×cbrt-unprod
4×add-log-exp unswap-sqr sqr-pow
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×unpow-prod-down associate-/r/ associate-/l/
1×cbrt-undiv neg-sub0 associate-+l- flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv
Counts
4 → 123
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
6.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
9.0ms
(* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
17.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* 2.0 PI) u2)
717.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
717.0ms
(* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
773.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify112.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07792421
135162127
250012112

prune577.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes326.0ms

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

sample904.0ms

Algorithm
intervals
Results
637.0ms8000×body80valid
122.0ms8000×pre80true