Details

Time bar (total: 11.1s)

analyze851.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
3.1%96.8%0.1%6
15.6%81.2%3.2%7
23.4%72.6%4%8
32.4%56.2%11.4%9
36.3%51.7%12%10
40.7%42.9%16.4%11
42.6%40.3%17.1%12
44.5%36%19.4%13
45.5%34.5%20%14

sample191.0ms

Algorithm
intervals
Results
85.0ms102×body1280valid
49.0ms23×body2560valid
23.0ms51×body640valid
7.0ms32×body320valid
5.0ms9×body640invalid
3.0ms43×body80valid
2.0ms1×body2560invalid
2.0ms21×body80invalid
2.0ms5×body320invalid
1.0ms1×body1280invalid
1.0ms5×body160valid
1.0ms13×body80nan
0.0ms1×body160invalid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0514315

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 48.0b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 100.0 (* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)))
0.0b
(* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
1.2b
(- (pow (+ 1.0 (/ i n)) n) 1.0)
4.4b
(pow (+ 1.0 (/ i n)) n)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
29×*-un-lft-identity
26×associate-*r*
22×times-frac
19×add-exp-log add-cube-cbrt
18×add-cbrt-cube
12×pow1 difference-of-squares
8×unpow-prod-down
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×sqr-pow
4×pow-prod-down distribute-lft-out--
3×pow-unpow associate-*r/
2×cbrt-undiv div-exp *-commutative unswap-sqr
1×pow-to-exp sub-neg flip3-- pow-pow diff-log pow-exp flip-- div-inv distribute-lft-out
Counts
4 → 98
Calls
4 calls:
14.0ms
(* 100.0 (* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)))
15.0ms
(* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
11.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
6.0ms
(pow (+ 1.0 (/ i n)) n)

series175.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* 100.0 (* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)))
53.0ms
(* n (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
36.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
25.0ms
(pow (+ 1.0 (/ i n)) n)

simplify37.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050272252

prune243.0ms

Filtered
82 candidates to 110 candidates (-34.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1037110
Fresh101
Picked101
Done000
Total1057112

Merged error: 10.8b

Counts
112 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* i (+ 1.0 (* i 0.5)))
0.1b
(* 100.0 (* n (/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)))
8.6b
(/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×add-exp-log add-cbrt-cube
17×add-cube-cbrt *-un-lft-identity
14×pow1 associate-*r/
10×associate-*l*
9×times-frac
7×associate-*r* prod-exp cbrt-unprod
6×associate-/l/
5×pow-prod-down
4×flip3-+ frac-add flip-+ add-log-exp
3×flip3-- associate-/r* *-commutative flip-- associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp unswap-sqr
1×frac-2neg clear-num log-pow div-inv
Counts
4 → 99
Calls
4 calls:
5.0ms
(* i (+ 1.0 (* i 0.5)))
9.0ms
(* 100.0 (* n (/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)))
9.0ms
(/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)
5.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* i (+ 1.0 (* i 0.5)))
25.0ms
(* 100.0 (* n (/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)))
14.0ms
(/ (+ (* i (+ 1.0 (* i 0.5))) (* (log 1.0) (- n (* i (* i 0.5))))) i)
19.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

simplify33.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
056762101

prune255.0ms

Filtered
78 candidates to 111 candidates (-42.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1038111
Fresh066
Picked101
Done000
Total10414118

Merged error: 10.8b

Counts
118 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

8.6b
(/ (+ (* (log 1.0) (- n (* i (* i 0.5)))) (* i (+ 1.0 (* i 0.5)))) i)
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
14×associate-*r/
13×pow1
12×add-exp-log associate-*l* add-cbrt-cube
9×times-frac associate-*r*
6×sub-neg associate-/l/
5×flip3-- flip--
4×frac-add add-log-exp
3×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp associate-/r* log-pow *-commutative cbrt-unprod flip-+ associate-/l* unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 102
Calls
4 calls:
9.0ms
(/ (+ (* (log 1.0) (- n (* i (* i 0.5)))) (* i (+ 1.0 (* i 0.5)))) i)
5.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
5.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
5.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (+ (* (log 1.0) (- n (* i (* i 0.5)))) (* i (+ 1.0 (* i 0.5)))) i)
18.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
24.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
23.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049521901
149521901

prune459.0ms

Filtered
77 candidates to 114 candidates (-48.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh01313
Picked101
Done000
Total11414128

Merged error: 10.8b

Counts
128 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

9.1b
(* (log 1.0) (- n (* i (* i 0.5))))
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))
9.1b
(* (log 1.0) (- n (* i (* i 0.5))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×pow1 associate-*l*
12×add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
8×sub-neg associate-*r/
4×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
4 → 92
Calls
4 calls:
5.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
6.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
6.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
6.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
18.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
18.0ms
(* (log 1.0) (- n (* i (* i 0.5))))
21.0ms
(* (log 1.0) (- n (* i (* i 0.5))))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049721216
149721216

prune456.0ms

Filtered
64 candidates to 104 candidates (-62.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh01313
Picked011
Done000
Total10414118

Merged error: 10.8b

Counts
118 → 14

regimes312.0ms

Accuracy

69.1% (6.1b remaining)

Error of 15.0b against oracle of 9.0b and baseline of 28.6b

bsearch536.0ms

Steps
ItersRangePoint
9
309.199461356046
14861608908.810823
315.5800385030618
9
-17027.493220115626
-0.0011702648199747197
-0.13914382206341622

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189385
1189385

end0.0ms

analyze843.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
3.1%96.8%0.1%6
15.6%81.2%3.2%7
23.4%72.6%4%8
32.4%56.2%11.4%9
36.3%51.7%12%10
40.7%42.9%16.4%11
42.6%40.3%17.1%12
44.5%36%19.4%13
45.5%34.5%20%14

sample6.1s

Algorithm
intervals
Results
2.4s2812×body1280valid
2.1s990×body2560valid
621.0ms1517×body640valid
169.0ms714×body320valid
130.0ms256×body640invalid
112.0ms1624×body80valid
74.0ms90×body1280invalid
63.0ms194×body320invalid
53.0ms334×body160valid
45.0ms478×body80invalid
34.0ms9×body5120valid
19.0ms100×body160invalid
17.0ms9×body2560invalid
16.0ms347×body80nan

Profiling

Loading profile data...