Details

Time bar (total: 26.3s)

sample232.0ms

Algorithm
intervals
Results
89.0ms35×body2560valid
77.0ms69×body1280valid
21.0ms44×body640valid
8.0ms33×body320valid
8.0ms110×body80valid
4.0ms76×body80nan
3.0ms15×body160valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
51535
4347
3140
259
125
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)))
1.8b
(- (pow (+ 1.0 (/ i n)) n) 1.0)
8.8b
(pow (+ 1.0 (/ i n)) n)
10.4b
(/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n))

rewrite922.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
289×add-sqr-sqrt
198×*-un-lft-identity
140×add-cube-cbrt
96×associate-*r*
84×difference-of-squares
32×unpow-prod-down
29×sqr-pow
28×distribute-lft-out--
19×add-exp-log
18×add-cbrt-cube
17×div-inv
13×associate-/r*
7×pow1 associate-/l*
6×cbrt-undiv div-exp add-log-exp
3×pow-unpow associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow-to-exp clear-num sub-neg pow-pow frac-2neg diff-log div-sub pow-prod-down pow-exp associate-*r/ *-commutative distribute-lft-out
Counts
4 → 281
Calls
4 calls:
353.0ms
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)))
171.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
27.0ms
(pow (+ 1.0 (/ i n)) n)
355.0ms
(/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n))

series1.6s

Counts
4 → 12
Calls
4 calls:
489.0ms
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n)))
338.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
276.0ms
(pow (+ 1.0 (/ i n)) n)
482.0ms
(/ (- (pow (+ 1.0 (/ i n)) n) 1.0) (/ i n))

simplify1.4s

Counts
293 → 293
Iterations
IterNodes
done5001
11418
0437

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 22.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (pow (+ 1.0 (/ i n)) n) (/ i n))
0.7b
(/ 1.0 (/ i n))
8.8b
(pow (+ 1.0 (/ i n)) n)
13.2b
(- (/ (pow (+ 1.0 (/ i n)) n) (/ i n)) (/ 1.0 (/ i n)))

rewrite683.0ms

Algorithm
rewrite-expression-head
Rules
352×times-frac
237×add-sqr-sqrt
211×*-un-lft-identity
153×add-cube-cbrt
66×unpow-prod-down
26×associate-/r*
23×add-exp-log
21×difference-of-squares sqr-pow
19×div-inv
15×distribute-lft-out
14×add-cbrt-cube distribute-lft-out--
12×div-exp
11×associate-/l*
6×cbrt-undiv add-log-exp
5×pow1
4×associate-/r/
3×pow-to-exp pow-unpow pow-exp
2×clear-num frac-2neg distribute-rgt-out--
1×sub-neg pow-pow flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 283
Calls
4 calls:
99.0ms
(/ (pow (+ 1.0 (/ i n)) n) (/ i n))
9.0ms
(/ 1.0 (/ i n))
16.0ms
(pow (+ 1.0 (/ i n)) n)
531.0ms
(- (/ (pow (+ 1.0 (/ i n)) n) (/ i n)) (/ 1.0 (/ i n)))

series1.2s

Counts
4 → 12
Calls
4 calls:
388.0ms
(/ (pow (+ 1.0 (/ i n)) n) (/ i n))
19.0ms
(/ 1.0 (/ i n))
319.0ms
(pow (+ 1.0 (/ i n)) n)
516.0ms
(- (/ (pow (+ 1.0 (/ i n)) n) (/ i n)) (/ 1.0 (/ i n)))

simplify1.3s

Counts
295 → 295
Iterations
IterNodes
done5000
11244
0468

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 20.1b

localize52.0ms

Local error

Found 4 expressions with local error:

8.8b
(pow (+ 1.0 (/ i n)) n)
17.8b
(cbrt (/ i n))
17.8b
(cbrt (/ i n))
17.8b
(cbrt (/ i n))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×*-un-lft-identity
27×add-sqr-sqrt times-frac add-cube-cbrt
5×pow1 add-exp-log
4×unpow-prod-down add-cbrt-cube add-log-exp
3×pow-unpow cbrt-div pow1/3 div-inv
1×pow-to-exp pow-pow pow-exp distribute-lft-out sqr-pow
Counts
4 → 84
Calls
4 calls:
15.0ms
(pow (+ 1.0 (/ i n)) n)
2.0ms
(cbrt (/ i n))
2.0ms
(cbrt (/ i n))
2.0ms
(cbrt (/ i n))

series538.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(pow (+ 1.0 (/ i n)) n)
73.0ms
(cbrt (/ i n))
95.0ms
(cbrt (/ i n))
104.0ms
(cbrt (/ i n))

simplify968.0ms

Counts
96 → 96
Iterations
IterNodes
done5000
31589
2484
1209
0111

prune634.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)) n)
0.1b
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
1.8b
(- (pow (+ 1.0 (/ i n)) n) 1.0)
8.8b
(pow (+ 1.0 (/ i n)) n)

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
29×*-un-lft-identity
28×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×add-log-exp
5×sqr-pow
4×associate-*l* pow-prod-down distribute-lft-out--
3×pow-unpow
2×cbrt-undiv div-exp associate-*r/ *-commutative unswap-sqr
1×pow-to-exp sub-neg pow-pow flip3-- diff-log associate-*l/ pow-exp div-inv flip-- distribute-lft-out
Counts
4 → 99
Calls
4 calls:
457.0ms
(* (* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)) n)
319.0ms
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
150.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
17.0ms
(pow (+ 1.0 (/ i n)) n)

series1.3s

Counts
4 → 12
Calls
4 calls:
415.0ms
(* (* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i)) n)
230.0ms
(* 100.0 (/ (- (pow (+ 1.0 (/ i n)) n) 1.0) i))
322.0ms
(- (pow (+ 1.0 (/ i n)) n) 1.0)
316.0ms
(pow (+ 1.0 (/ i n)) n)

simplify1.5s

Counts
111 → 111
Iterations
IterNodes
done5003
23038
1621
0224

prune439.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.6b

regimes223.0ms

Accuracy

41.9% (14.8b remaining)

Error of 23.3b against oracle of 8.5b and baseline of 34.0b

bsearch600.0ms

Steps
ItersRangePoint
8
3.819465148456978e-152
2.729984996487058e-148
6.462722036125863e-151
8
-27.16127718389199
-0.042530208599811804
-0.04879868666602226
9
-6.3860482886760424e+47
-2.1008172754670125e+42
-7.520459214308253e+45
6
-1.8354728977064109e+78
-2.1456788011981848e+77
-1.7675524289928927e+78
8
-1.0244940928580636e+218
-4.079775224398851e+214
-4.1271893865869047e+214

simplify24.0ms

Iterations
IterNodes
done81
181
060

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.2s2473×body1280valid
2.0s990×body2560valid
655.0ms1606×body640valid
555.0ms3039×body80valid
209.0ms867×body320valid
168.0ms2281×body80nan
59.0ms451×body160valid
9.0ms2×body5120valid