Details

Time bar (total: 23.9s)

sample369.0ms

Algorithm
intervals
Results
132.0ms86×body1280valid
110.0ms28×body2560valid
65.0ms64×body640valid
14.0ms96×body80valid
13.0ms25×body320valid
10.0ms79×body80nan
5.0ms18×body160valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2016
52016
4533
3154
259
128
010

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.5b

localize33.0ms

Local error

Found 3 expressions with local error:

1.7b
(fma 100 (pow (+ 1 (/ i n)) n) -100)
8.0b
(pow (+ 1 (/ i n)) n)
8.9b
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
49×*-un-lft-identity
47×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
9×add-exp-log
8×add-cbrt-cube
5×div-inv
4×pow1 unpow-prod-down
3×expm1-log1p-u cbrt-undiv pow-unpow div-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp
1×pow-to-exp clear-num pow-pow frac-2neg pow-exp associate-/r/ fma-udef distribute-lft-out sqr-pow
Counts
3 → 105
Calls
3 calls:
0.0ms
(fma 100 (pow (+ 1 (/ i n)) n) -100)
21.0ms
(pow (+ 1 (/ i n)) n)
12.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))

series1.2s

Counts
3 → 9
Calls
3 calls:
388.0ms
(fma 100 (pow (+ 1 (/ i n)) n) -100)
358.0ms
(pow (+ 1 (/ i n)) n)
415.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))

simplify1.5s

Counts
114 → 114
Iterations
IterNodes
done2005
32005
21605
1528
0222

prune718.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.2b

localize36.0ms

Local error

Found 4 expressions with local error:

4.4b
(fma 100 (exp (* n (log1p (/ i n)))) -100)
6.8b
(log1p (/ i n))
9.0b
(* n (log1p (/ i n)))
9.1b
(/ (fma 100 (exp (* n (log1p (/ i n)))) -100) (/ i n))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
50×add-sqr-sqrt
48×*-un-lft-identity add-cube-cbrt
13×associate-/r*
11×add-cbrt-cube add-exp-log
6×pow1
5×expm1-log1p-u div-inv
4×insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* associate-*l* associate-/l*
1×log1p-udef clear-num frac-2neg pow-prod-down prod-exp log1p-expm1 associate-/r/ *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 117
Calls
4 calls:
0.0ms
(fma 100 (exp (* n (log1p (/ i n)))) -100)
1.0ms
(log1p (/ i n))
11.0ms
(* n (log1p (/ i n)))
11.0ms
(/ (fma 100 (exp (* n (log1p (/ i n)))) -100) (/ i n))

series1.1s

Counts
4 → 12
Calls
4 calls:
375.0ms
(fma 100 (exp (* n (log1p (/ i n)))) -100)
73.0ms
(log1p (/ i n))
78.0ms
(* n (log1p (/ i n)))
528.0ms
(/ (fma 100 (exp (* n (log1p (/ i n)))) -100) (/ i n))

simplify1.2s

Counts
129 → 129
Iterations
IterNodes
done2000
22000
1636
0257

prune749.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 13.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (fma 100 (exp (* n (log1p (/ i n)))) -100) i) n)
4.4b
(fma 100 (exp (* n (log1p (/ i n)))) -100)
6.8b
(log1p (/ i n))
9.0b
(* n (log1p (/ i n)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×associate-*l*
14×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
10×times-frac
8×pow1
6×associate-*r*
5×expm1-log1p-u
4×insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×pow-prod-down *-commutative
1×cbrt-undiv log1p-udef div-exp associate-*l/ log1p-expm1 fma-udef div-inv
Counts
4 → 79
Calls
4 calls:
17.0ms
(* (/ (fma 100 (exp (* n (log1p (/ i n)))) -100) i) n)
0.0ms
(fma 100 (exp (* n (log1p (/ i n)))) -100)
1.0ms
(log1p (/ i n))
15.0ms
(* n (log1p (/ i n)))

series1.0s

Counts
4 → 12
Calls
4 calls:
476.0ms
(* (/ (fma 100 (exp (* n (log1p (/ i n)))) -100) i) n)
354.0ms
(fma 100 (exp (* n (log1p (/ i n)))) -100)
90.0ms
(log1p (/ i n))
95.0ms
(* n (log1p (/ i n)))

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done2001
32001
21428
1444
0179

prune424.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 13.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 i) (* (fma 100 (exp (* (log1p (/ i n)) n)) -100) n))
4.4b
(fma 100 (exp (* (log1p (/ i n)) n)) -100)
6.8b
(log1p (/ i n))
9.0b
(* (log1p (/ i n)) n)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-cbrt-cube
16×associate-*l*
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp add-cube-cbrt
11×pow1
9×times-frac
7×cbrt-unprod
5×expm1-log1p-u
4×div-exp associate-*r* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×log1p-udef associate-*l/ log1p-expm1 fma-udef div-inv unswap-sqr
Counts
4 → 84
Calls
4 calls:
32.0ms
(* (/ 1 i) (* (fma 100 (exp (* (log1p (/ i n)) n)) -100) n))
0.0ms
(fma 100 (exp (* (log1p (/ i n)) n)) -100)
0.0ms
(log1p (/ i n))
6.0ms
(* (log1p (/ i n)) n)

series770.0ms

Counts
4 → 12
Calls
4 calls:
348.0ms
(* (/ 1 i) (* (fma 100 (exp (* (log1p (/ i n)) n)) -100) n))
264.0ms
(fma 100 (exp (* (log1p (/ i n)) n)) -100)
69.0ms
(log1p (/ i n))
88.0ms
(* (log1p (/ i n)) n)

simplify982.0ms

Counts
96 → 96
Iterations
IterNodes
done2002
32002
21032
1358
0157

prune365.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.6b

regimes238.0ms

Accuracy

61.9% (11.3b remaining)

Error of 14.6b against oracle of 3.3b and baseline of 32.9b

bsearch919.0ms

Steps
ItersRangePoint
10
7.991732613382949e-10
32640636.358721357
1.1417957873827229e-05
9
3.88021857206842e-39
1.381846095246088e-31
3.952197478939899e-39
10
2.258094759786161e-60
1.7400462082757723e-42
1.6984288167482355e-42
7
-16883.399250034305
-988.0224752747107
-996.2239743031829

simplify56.0ms

Iterations
IterNodes
done118
1118
088

end0.0ms

sample9.6s

Algorithm
intervals
Results
3.9s2350×body1280valid
3.0s1026×body2560valid
1.2s1629×body640valid
440.0ms911×body320valid
366.0ms3009×body80valid
247.0ms2227×body80nan
147.0ms462×body160valid
16.0ms3×body5120valid