Details

Time bar (total: 51.6s)

sample42.0ms

Algorithm
intervals
Results
19.0ms387×body80valid
5.0ms122×body80nan

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
012455
124455
253405
3108390
4274390
51475390
done5001390

prune26.0ms

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

rewrite53.0ms

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:
17.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
22.0ms
(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series258.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
168.0ms
(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify1.3s

Counts
175 → 175
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0331124376
1874116582
done5001114759

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
0.3b
(/ 1 (/ (fma k (+ 10.0 k) 1.0) (pow k m)))
2.5b
(* a (/ 1 (/ (fma k (+ 10.0 k) 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:
8.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
12.0ms
(/ 1 (/ (fma k (+ 10.0 k) 1.0) (pow k m)))
52.0ms
(* a (/ 1 (/ (fma k (+ 10.0 k) 1.0) (pow k m))))

series388.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
119.0ms
(/ 1 (/ (fma k (+ 10.0 k) 1.0) (pow k m)))
164.0ms
(* a (/ 1 (/ (fma k (+ 10.0 k) 1.0) (pow k m))))

simplify1.8s

Counts
309 → 309
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0445195202
11294165198
done5001161751

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
6.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
12.0ms
(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (fma k (+ 10.0 k) 1.0) (pow k m))
187.0ms
(/ a (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify1.3s

Counts
175 → 175
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0331124376
1874116582
done5001114759

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.5b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite583.0ms

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:
13.0ms
(/ a (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m))))
118.0ms
(/ (/ a (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))) (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m))))
6.0ms
(sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))
7.0ms
(sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(/ a (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m))))
164.0ms
(/ (/ a (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))) (sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m))))
136.0ms
(sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))
147.0ms
(sqrt (/ (fma k (+ 10.0 k) 1.0) (pow k m)))

simplify9.6s

Counts
2851 → 2851
Iterations

Useful iterations: done (8.5s)

IterNodesCost
042964298965
done50014131881

prune26.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.5b

regimes189.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012431
116431
done16431

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s12002×body80valid
327.0ms4131×body80nan