Details

Time bar (total: 33.2s)

sample300.0ms

Algorithm
intervals
Results
112.0ms77×body1280valid
106.0ms37×body2560valid
31.0ms46×body640valid
11.0ms25×body320valid
11.0ms93×body80valid
7.0ms60×body80nan
4.0ms14×body160valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
67344
51457
4432
3152
257
126
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.9b

localize15.0ms

Local error

Found 3 expressions with local error:

1.1b
(fma (pow (+ 1 (/ i n)) n) 100 -100)
6.2b
(pow (+ 1 (/ i n)) n)
11.9b
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))

rewrite27.0ms

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 (pow (+ 1 (/ i n)) n) 100 -100)
14.0ms
(pow (+ 1 (/ i n)) n)
9.0ms
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))

series1.0s

Counts
3 → 9
Calls
3 calls:
299.0ms
(fma (pow (+ 1 (/ i n)) n) 100 -100)
289.0ms
(pow (+ 1 (/ i n)) n)
452.0ms
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))

simplify3.3s

Counts
114 → 114
Iterations
IterNodes
34860
21563
1505
0222

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 17.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.3b
(fma (exp (* n (log1p (/ i n)))) 100 -100)
5.1b
(log1p (/ i n))
11.9b
(/ (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ i n))
12.0b
(* n (log1p (/ i n)))

rewrite14.0ms

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 (exp (* n (log1p (/ i n)))) 100 -100)
1.0ms
(log1p (/ i n))
6.0ms
(/ (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ i n))
6.0ms
(* n (log1p (/ i n)))

series1.0s

Counts
4 → 12
Calls
4 calls:
347.0ms
(fma (exp (* n (log1p (/ i n)))) 100 -100)
80.0ms
(log1p (/ i n))
526.0ms
(/ (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ i n))
90.0ms
(* n (log1p (/ i n)))

simplify999.0ms

Counts
129 → 129
Iterations
IterNodes
22019
1619
0257

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.6b

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b
(fma (exp (* n (log1p (/ i n)))) 100 -100)
5.1b
(log1p (/ i n))
12.0b
(* n (log1p (/ i n)))
13.2b
(* (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ 1 (/ i n)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
58×add-sqr-sqrt
47×associate-*r*
44×*-un-lft-identity
42×add-cube-cbrt
25×add-exp-log
15×add-cbrt-cube
8×pow1 prod-exp
7×div-exp
6×associate-*l* unswap-sqr
5×expm1-log1p-u
4×cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv
2×rec-exp 1-exp pow-prod-down *-commutative
1×log1p-udef log1p-expm1 associate-*r/ associate-/r/ un-div-inv fma-udef
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (exp (* n (log1p (/ i n)))) 100 -100)
0.0ms
(log1p (/ i n))
6.0ms
(* n (log1p (/ i n)))
22.0ms
(* (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ 1 (/ i n)))

series908.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(fma (exp (* n (log1p (/ i n)))) 100 -100)
82.0ms
(log1p (/ i n))
65.0ms
(* n (log1p (/ i n)))
423.0ms
(* (fma (exp (* n (log1p (/ i n)))) 100 -100) (/ 1 (/ i n)))

simplify918.0ms

Counts
132 → 132
Iterations
IterNodes
22073
1734
0276

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.6b

localize62.0ms

Local error

Found 4 expressions with local error:

5.1b
(log1p (/ i n))
12.0b
(* n (posit16->real (real->posit16 (log1p (/ i n)))))
13.2b
(* (fma (exp (* n (posit16->real (real->posit16 (log1p (/ i n)))))) 100 -100) (/ 1 (/ i n)))
42.3b
(posit16->real (real->posit16 (log1p (/ i n))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
58×add-sqr-sqrt
47×associate-*r*
44×*-un-lft-identity
42×add-cube-cbrt
25×add-exp-log
15×add-cbrt-cube
8×pow1 prod-exp
7×div-exp
6×associate-*l* unswap-sqr
5×expm1-log1p-u
4×cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv
2×rec-exp 1-exp pow-prod-down *-commutative
1×log1p-udef log1p-expm1 associate-*r/ associate-/r/ un-div-inv remove-posit16
Counts
4 → 120
Calls
4 calls:
0.0ms
(log1p (/ i n))
6.0ms
(* n (posit16->real (real->posit16 (log1p (/ i n)))))
15.0ms
(* (fma (exp (* n (posit16->real (real->posit16 (log1p (/ i n)))))) 100 -100) (/ 1 (/ i n)))
0.0ms
(posit16->real (real->posit16 (log1p (/ i n))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(log1p (/ i n))
74.0ms
(* n (posit16->real (real->posit16 (log1p (/ i n)))))
443.0ms
(* (fma (exp (* n (posit16->real (real->posit16 (log1p (/ i n)))))) 100 -100) (/ 1 (/ i n)))
91.0ms
(posit16->real (real->posit16 (log1p (/ i n))))

simplify2.4s

Counts
132 → 132
Iterations
IterNodes
33822
21298
1578
0229

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 14.6b

regimes266.0ms

Accuracy

42.5% (13.8b remaining)

Error of 27.7b against oracle of 13.8b and baseline of 37.9b

bsearch704.0ms

Steps
ItersRangePoint
8
7.830851735243429e+264
3.67008227759859e+269
1.7502911309066923e+267
6
8.650345233188524e-94
3.846135351191654e-93
1.512315662452518e-93
10
-5.251765870765284e-304
1.0758723068369108e-300
-1.8734143464281e-311

simplify56.0ms

Iterations
IterNodes
297
197
071

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.3s2514×body1280valid
2.6s994×body2560valid
1.1s1614×body640valid
419.0ms3079×body80valid
322.0ms836×body320valid
249.0ms2265×body80nan
94.0ms416×body160valid
40.0ms9×body5120valid