Details

Time bar (total: 15.4s)

sample67.0ms

Algorithm
intervals
Results
25.0ms387×body80valid
17.0ms143×body80nan

simplify2.0s

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma k (+ k 10.0) 1.0)
2.6b
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
84×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×unpow-prod-down
25×associate-/r*
12×add-exp-log sqr-pow
7×add-cbrt-cube div-exp
5×div-inv
3×cbrt-undiv associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×pow-to-exp clear-num frac-2neg pow-exp associate-/r/ fma-udef
Counts
2 → 132
Calls
2 calls:
1.0ms
(fma k (+ k 10.0) 1.0)
14.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(fma k (+ k 10.0) 1.0)
158.0ms
(/ a (/ (fma k (+ k 10.0) 1.0) (pow k m)))

simplify1.1s

Counts
138 → 138
Iterations
IterNodes
done5000
1817
0308

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.6b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
0.0b
(* (/ 1 (sqrt (fma k (+ 10.0 k) 1.0))) (/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))))
14.8b
(sqrt (fma k (+ 10.0 k) 1.0))
14.8b
(sqrt (fma k (+ 10.0 k) 1.0))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
685×times-frac
455×add-sqr-sqrt
318×*-un-lft-identity
302×add-cube-cbrt
193×sqrt-prod
143×associate-*r*
136×unpow-prod-down
83×add-exp-log
52×sqr-pow
46×associate-/r*
45×div-exp
40×unswap-sqr
30×add-cbrt-cube
22×associate-*l*
20×prod-exp
12×cbrt-undiv
10×div-inv
8×pow1
6×cbrt-unprod
5×pow-to-exp rec-exp 1-exp pow-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 481
Calls
4 calls:
33.0ms
(/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
163.0ms
(* (/ 1 (sqrt (fma k (+ 10.0 k) 1.0))) (/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))))
2.0ms
(sqrt (fma k (+ 10.0 k) 1.0))
3.0ms
(sqrt (fma k (+ 10.0 k) 1.0))

series543.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m)))
155.0ms
(* (/ 1 (sqrt (fma k (+ 10.0 k) 1.0))) (/ a (/ (sqrt (fma k (+ 10.0 k) 1.0)) (pow k m))))
61.0ms
(sqrt (fma k (+ 10.0 k) 1.0))
87.0ms
(sqrt (fma k (+ 10.0 k) 1.0))

simplify2.3s

Counts
493 → 493
Iterations
IterNodes
done5001
12248
0652

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (log k) m) a)
0.2b
(* (* 10.0 a) k)
0.2b
(* (log k) m)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
15×add-cbrt-cube add-exp-log
9×add-sqr-sqrt associate-*r*
7×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
6×associate-*l*
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
1×log-pow unswap-sqr
Counts
3 → 61
Calls
3 calls:
35.0ms
(* (* (log k) m) a)
15.0ms
(* (* 10.0 a) k)
6.0ms
(* (log k) m)

series248.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* (* (log k) m) a)
38.0ms
(* (* 10.0 a) k)
114.0ms
(* (log k) m)

simplify1.4s

Counts
70 → 70
Iterations
IterNodes
done5000
21738
1263
0106

prune424.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.6b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s11962×body80valid
321.0ms4225×body80nan