Details

Time bar (total: 8.8s)

sample34.0ms

Algorithm
intervals
Results
15.0ms377×body80valid
4.0ms122×body80nan

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
01215
12415
25213
310112
423212
566312
6245212
done500012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma k (+ 10.0 k) 1.0)
0.2b
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
3.7b
(/ a (fma k (+ 10.0 k) 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
21×times-frac
20×add-cube-cbrt *-un-lft-identity
18×add-exp-log
13×associate-*l*
10×add-cbrt-cube
7×associate-*r*
6×prod-exp unswap-sqr
5×unpow-prod-down
4×div-exp
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp sqr-pow
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
1×frac-2neg associate-*l/ clear-num *-commutative fma-udef
Counts
3 → 84
Calls
3 calls:
0.0ms
(fma k (+ 10.0 k) 1.0)
11.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
2.0ms
(/ a (fma k (+ 10.0 k) 1.0))

series191.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(fma k (+ 10.0 k) 1.0)
109.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
59.0ms
(/ a (fma k (+ 10.0 k) 1.0))

simplify505.0ms

Counts
93 → 93
Iterations

Useful iterations: done (502.0ms)

IterNodesCost
01751476
14201427
214371309
done50011306

prune260.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
0.0b
(fma k (+ 10.0 k) 1.0)
0.0b
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
3.7b
(/ a (fma k (+ 10.0 k) 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
45×prod-exp
36×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
21×times-frac
20×add-cbrt-cube
15×pow-to-exp pow-exp
14×associate-*r* associate-*l*
13×div-exp
8×unpow-prod-down
7×cbrt-unprod
6×unswap-sqr
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cbrt-undiv associate-*l/ associate-/r* associate-/l*
2×*-commutative div-inv
1×frac-2neg clear-num fma-udef
Counts
4 → 127
Calls
4 calls:
20.0ms
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
0.0ms
(fma k (+ 10.0 k) 1.0)
11.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
2.0ms
(/ a (fma k (+ 10.0 k) 1.0))

series326.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
20.0ms
(fma k (+ 10.0 k) 1.0)
118.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
58.0ms
(/ a (fma k (+ 10.0 k) 1.0))

simplify751.0ms

Counts
139 → 139
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
02322840
16052549
222632282
done50002282

prune360.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma k (+ 10.0 k) 1.0)
0.0b
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
0.0b
(* (pow k (/ m 4)) (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))))
3.7b
(/ a (fma k (+ 10.0 k) 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
45×prod-exp
36×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
21×times-frac
20×associate-*l* add-cbrt-cube
15×pow-to-exp pow-exp
13×div-exp
8×unpow-prod-down associate-*r*
7×cbrt-unprod
6×unswap-sqr
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cbrt-undiv associate-/r* associate-/l*
2×associate-*l/ *-commutative div-inv
1×frac-2neg associate-*r/ clear-num fma-udef
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma k (+ 10.0 k) 1.0)
11.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
19.0ms
(* (pow k (/ m 4)) (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))))
2.0ms
(/ a (fma k (+ 10.0 k) 1.0))

series374.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(fma k (+ 10.0 k) 1.0)
113.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
181.0ms
(* (pow k (/ m 4)) (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))))
61.0ms
(/ a (fma k (+ 10.0 k) 1.0))

simplify708.0ms

Counts
139 → 139
Iterations

Useful iterations: 2 (229.0ms)

IterNodesCost
02522894
16552727
223502271
done50012271

prune470.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma k (+ 10.0 k) 1.0)
0.0b
(* (pow k (/ m 4)) (* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))))
0.3b
(/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))
2.0b
(* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
47×add-sqr-sqrt
45×times-frac
37×add-cube-cbrt *-un-lft-identity
31×prod-exp
26×associate-*r*
25×unpow-prod-down
20×add-cbrt-cube
15×div-exp
10×pow-to-exp associate-*l* pow-exp
9×sqr-pow
7×cbrt-unprod associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ associate-/r*
2×*-commutative div-inv
1×frac-2neg pow-prod-down clear-num fma-udef
Counts
4 → 144
Calls
4 calls:
0.0ms
(fma k (+ 10.0 k) 1.0)
17.0ms
(* (pow k (/ m 4)) (* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))))
4.0ms
(/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))
13.0ms
(* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(fma k (+ 10.0 k) 1.0)
187.0ms
(* (pow k (/ m 4)) (* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))))
72.0ms
(/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0))
117.0ms
(* a (/ (pow k (/ m 2)) (fma k (+ 10.0 k) 1.0)))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
02843471
17103263
228152803
done50002803

prune551.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.3b

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01928
12328
done2328

end0.0ms

sample958.0ms

Algorithm
intervals
Results
467.0ms11964×body80valid
141.0ms4251×body80nan