Details

Time bar (total: 16.1s)

sample74.0ms

Algorithm
intervals
Results
36.0ms368×body80valid
11.0ms129×body80nan

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5006
62177
5655
4215
397
252
126
012

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (+ k 10) k 1)
0.7b
(/ (pow k m) (fma (+ k 10) k 1))
1.7b
(* (/ (pow k m) (fma (+ k 10) k 1)) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
25×associate-*l*
22×unpow-prod-down
18×add-exp-log
10×add-cbrt-cube
8×sqr-pow
7×associate-/l*
6×div-exp
5×pow1
4×prod-exp unswap-sqr
3×expm1-log1p-u associate-/r* associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×pow-to-exp cbrt-undiv pow-exp cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative fma-udef
Counts
3 → 110
Calls
3 calls:
0.0ms
(fma (+ k 10) k 1)
7.0ms
(/ (pow k m) (fma (+ k 10) k 1))
23.0ms
(* (/ (pow k m) (fma (+ k 10) k 1)) a)

series267.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(fma (+ k 10) k 1)
98.0ms
(/ (pow k m) (fma (+ k 10) k 1))
150.0ms
(* (/ (pow k m) (fma (+ k 10) k 1)) a)

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5000
21527
1488
0206

prune725.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (+ 10 k) k 1)
3.9b
(/ a (fma (+ 10 k) k 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma (+ 10 k) k 1)
8.0ms
(/ a (fma (+ 10 k) k 1))

series94.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(fma (+ 10 k) k 1)
76.0ms
(/ a (fma (+ 10 k) k 1))

simplify1.5s

Counts
47 → 47
Iterations
IterNodes
done5000
31709
2496
1166
083

prune355.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.7b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (+ 10 k) k 1)
0.2b
(/ 1 (/ (fma (+ 10 k) k 1) a))
3.9b
(/ (fma (+ 10 k) k 1) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r* add-exp-log
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×associate-/r/ fma-udef pow-flip inv-pow
Counts
3 → 120
Calls
3 calls:
1.0ms
(fma (+ 10 k) k 1)
13.0ms
(/ 1 (/ (fma (+ 10 k) k 1) a))
9.0ms
(/ (fma (+ 10 k) k 1) a)

series148.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(fma (+ 10 k) k 1)
51.0ms
(/ 1 (/ (fma (+ 10 k) k 1) a))
65.0ms
(/ (fma (+ 10 k) k 1) a)

simplify2.4s

Counts
129 → 129
Iterations
IterNodes
done5040
33289
21156
1438
0190

prune686.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma k (/ k a) (/ 1 a))
0.2b
(/ 1 (fma 10 (/ k a) (fma k (/ k a) (/ 1 a))))
2.1b
(fma 10 (/ k a) (fma k (/ k a) (/ 1 a)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-exp-log
5×add-cbrt-cube
4×pow1
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×div-exp fma-udef
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip inv-pow
Counts
3 → 56
Calls
3 calls:
0.0ms
(fma k (/ k a) (/ 1 a))
9.0ms
(/ 1 (fma 10 (/ k a) (fma k (/ k a) (/ 1 a))))
0.0ms
(fma 10 (/ k a) (fma k (/ k a) (/ 1 a)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma k (/ k a) (/ 1 a))
41.0ms
(/ 1 (fma 10 (/ k a) (fma k (/ k a) (/ 1 a))))
41.0ms
(fma 10 (/ k a) (fma k (/ k a) (/ 1 a)))

simplify2.3s

Counts
65 → 65
Iterations
IterNodes
done5005
43664
31063
2415
1178
098

prune239.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes214.0ms

Accuracy

98.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch76.0ms

Steps
ItersRangePoint
8
1354745158.6912415
432164109186.9283
2069308732.6709836

simplify5.0ms

Iterations
IterNodes
done33
133
026

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s11893×body80valid
581.0ms4290×body80nan