Details

Time bar (total: 11.2s)

sample34.0ms

Algorithm
intervals
Results
14.0ms367×body80valid
5.0ms141×body80nan

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
01215
12415
25213
310112
423212
566212
6234712
done500012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

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))
3.3b
(/ a (fma k (+ 10.0 k) 1.0))

rewrite16.0ms

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))

series197.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(fma k (+ 10.0 k) 1.0)
113.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k m))
64.0ms
(/ a (fma k (+ 10.0 k) 1.0))

simplify704.0ms

Counts
93 → 93
Iterations

Useful iterations: done (701.0ms)

IterNodesCost
01751476
14201427
213431309
done50001278

prune270.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

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
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
3.3b
(/ a (fma k (+ 10.0 k) 1.0))

rewrite36.0ms

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:
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
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
2.0ms
(/ a (fma k (+ 10.0 k) 1.0))

series345.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(fma k (+ 10.0 k) 1.0)
124.0ms
(* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2)))
136.0ms
(* (* (/ a (fma k (+ 10.0 k) 1.0)) (pow k (/ m 2))) (pow k (/ m 2)))
65.0ms
(/ a (fma k (+ 10.0 k) 1.0))

simplify744.0ms

Counts
139 → 139
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
02322840
16052549
221522282
done50002282

prune391.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2)))
0.0b
(* (* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2))) (pow k (/ m 2)))
0.5b
(/ 1 (/ (fma k (+ 10.0 k) 1.0) a))
3.3b
(/ (fma k (+ 10.0 k) 1.0) a)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
264×add-exp-log
168×times-frac
150×prod-exp
130×add-sqr-sqrt
99×*-un-lft-identity
93×add-cube-cbrt
92×div-exp
50×pow-to-exp pow-exp
45×associate-*l*
34×add-cbrt-cube
26×rec-exp 1-exp
16×associate-/r*
15×unswap-sqr
14×associate-*r*
11×unpow-prod-down
10×cbrt-undiv cbrt-unprod div-inv
7×sqr-pow
6×associate-/l*
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/
2×frac-2neg clear-num associate-/r/ *-commutative
1×pow-flip inv-pow
Counts
4 → 297
Calls
4 calls:
27.0ms
(* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2)))
41.0ms
(* (* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2))) (pow k (/ m 2)))
5.0ms
(/ 1 (/ (fma k (+ 10.0 k) 1.0) a))
2.0ms
(/ (fma k (+ 10.0 k) 1.0) a)

series344.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2)))
135.0ms
(* (* (/ 1 (/ (fma k (+ 10.0 k) 1.0) a)) (pow k (/ m 2))) (pow k (/ m 2)))
51.0ms
(/ 1 (/ (fma k (+ 10.0 k) 1.0) a))
42.0ms
(/ (fma k (+ 10.0 k) 1.0) a)

simplify1.1s

Counts
309 → 309
Iterations

Useful iterations: 2 (531.0ms)

IterNodesCost
03986891
110345834
227785106
done50005106

prune617.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2)))
0.0b
(* (* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2))) (pow k (/ m 2)))
0.3b
(/ 1 (fma k (+ 10.0 k) 1.0))
3.3b
(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
896×times-frac
783×add-exp-log
490×add-sqr-sqrt
418×div-exp
413×*-un-lft-identity
395×add-cube-cbrt
360×prod-exp
175×associate-*l*
120×pow-to-exp pow-exp
105×rec-exp 1-exp
61×add-cbrt-cube
57×div-inv
30×unswap-sqr
25×cbrt-undiv
16×unpow-prod-down associate-/r* cbrt-unprod associate-/l*
14×associate-*r*
12×sqr-pow
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/
2×frac-2neg clear-num associate-/r/ *-commutative
1×pow-flip associate-/l/ inv-pow
Counts
4 → 721
Calls
4 calls:
75.0ms
(* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2)))
79.0ms
(* (* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2))) (pow k (/ m 2)))
2.0ms
(/ 1 (fma k (+ 10.0 k) 1.0))
11.0ms
(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a))

series335.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2)))
133.0ms
(* (* (/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a)) (pow k (/ m 2))) (pow k (/ m 2)))
44.0ms
(/ 1 (fma k (+ 10.0 k) 1.0))
43.0ms
(/ (/ 1 (fma k (+ 10.0 k) 1.0)) (/ 1 a))

simplify2.0s

Counts
733 → 733
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
080518791
1240714930
2492412937
done500012937

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 2.1b against oracle of 1.9b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
12124
done2124

end0.0ms

sample937.0ms

Algorithm
intervals
Results
457.0ms11825×body80valid
144.0ms4243×body80nan