Details

Time bar (total: 50.6s)

sample76.0ms

Algorithm
intervals
Results
31.0ms387×body80valid
9.0ms122×body80nan

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
51475
4274
3108
253
124
012

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma k (+ k 10.0) 1.0) (pow k m))
2.5b
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
100×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×unpow-prod-down
32×associate-/r*
17×add-exp-log
16×sqr-pow
10×div-exp
9×add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv
2×expm1-log1p-u pow-to-exp pow1 clear-num frac-2neg pow-exp log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 169
Calls
2 calls:
13.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
25.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

series317.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
204.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

simplify1.3s

Counts
175 → 175
Iterations
IterNodes
done5001
1874
0331

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma k (+ k 10.0) 1.0) (pow k m))
0.3b
(/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m)))
2.5b
(* a (/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
332×times-frac
196×add-sqr-sqrt
174×*-un-lft-identity
170×add-cube-cbrt
80×associate-*r*
77×unpow-prod-down
66×add-exp-log
37×div-exp
32×associate-/r*
27×sqr-pow
19×add-cbrt-cube
13×prod-exp
10×div-inv
9×unswap-sqr
8×rec-exp 1-exp
7×pow-to-exp cbrt-undiv pow-exp
6×pow1 associate-/l*
3×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/
1×pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 300
Calls
3 calls:
9.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
16.0ms
(/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m)))
43.0ms
(* a (/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m))))

series391.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
102.0ms
(/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m)))
190.0ms
(* a (/ 1 (/ (fma k (+ k 10.0) 1.0) (pow k m))))

simplify1.5s

Counts
309 → 309
Iterations
IterNodes
done5001
11294
0445

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma k (+ k 10.0) 1.0) (pow k m))
2.5b
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
100×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
48×unpow-prod-down
32×associate-/r*
17×add-exp-log
16×sqr-pow
10×div-exp
9×add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv
2×expm1-log1p-u pow-to-exp pow1 clear-num frac-2neg pow-exp log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 169
Calls
2 calls:
7.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
14.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

series256.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (fma k (+ k 10.0) 1.0) (pow k m))
161.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

simplify1.1s

Counts
175 → 175
Iterations
IterNodes
done5001
1874
0331

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
0.1b
(/ (/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))) (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
10.1b
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))
10.1b
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))

rewrite690.0ms

Algorithm
rewrite-expression-head
Rules
8861×times-frac
4575×sqrt-prod
3629×add-sqr-sqrt
3617×*-un-lft-identity add-cube-cbrt
1649×unpow-prod-down
551×sqr-pow
214×div-inv
92×associate-/l*
56×associate-/r*
33×sqrt-div
31×associate-/r/
11×add-cbrt-cube add-exp-log
8×rem-sqrt-square
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 2839
Calls
4 calls:
14.0ms
(/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
122.0ms
(/ (/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))) (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
8.0ms
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))
12.0ms
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
184.0ms
(/ (/ a (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))) (sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m))))
155.0ms
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))
171.0ms
(sqrt (/ (fma k (+ k 10.0) 1.0) (pow k m)))

simplify6.2s

Counts
2851 → 2851
Iterations
IterNodes
done5001
04296

prune26.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

98.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch63.0ms

Steps
ItersRangePoint
6
3.4349050748812333e+109
1.905314630223606e+110
3.8998864630604305e+109

simplify1.7s

Iterations
IterNodes
done5000
62000
5692
4258
393
250
140
032

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s12002×body80valid
281.0ms4131×body80nan