Details

Time bar (total: 15.5s)

sample37.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
5.0ms256×pre80true

simplify6.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (4.0s)

IterNodesCost
01025
13225
216823
389419
4335315
done500015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
0.4b
(/ 1.0 (* i i))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
16×add-cbrt-cube
10×prod-exp
8×pow1 div-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
5×cbrt-undiv
4×cbrt-unprod
3×rec-exp pow-flip 1-exp pow-prod-down
2×expm1-log1p-u frac-2neg associate-*l/ clear-num associate-/r* associate-/r/ log1p-expm1-u div-inv add-log-exp
1×flip3-- flip-- inv-pow
Counts
2 → 60
Calls
2 calls:
78.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
9.0ms
(/ 1.0 (* i i))

series118.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))
47.0ms
(/ 1.0 (* i i))

simplify2.9s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0136944
1320853
2931732
33820730
done5000730

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))
0.0b
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
0.0b
(* 4.0 (pow i 6))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp unswap-sqr
2×fma-udef sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 47
Calls
3 calls:
0.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))
0.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
22.0ms
(* 4.0 (pow i 6))

series363.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))
87.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
63.0ms
(* 4.0 (pow i 6))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 3 (447.0ms)

IterNodesCost
083651
1152619
2375557
31585550
done5000550

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.0625 (/ 0.015625 (* i i)))
0.0b
(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
0.1b
(/ 0.00390625 (pow i 4))
0.3b
(/ 0.015625 (* i i))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×*-un-lft-identity
37×add-sqr-sqrt add-cube-cbrt
28×fma-def
21×unpow-prod-down
14×add-exp-log
11×add-cbrt-cube add-log-exp
8×associate-/r*
7×sqr-pow
6×associate-/l*
5×div-exp
4×pow1 expm1-log1p-u sum-log log1p-expm1-u distribute-lft-out
3×cbrt-undiv flip3-+ flip-+ div-inv
2×+-commutative frac-2neg frac-add clear-num
1×pow-to-exp associate-+r+ pow-exp prod-exp cbrt-unprod
Counts
4 → 131
Calls
4 calls:
11.0ms
(+ 0.0625 (/ 0.015625 (* i i)))
82.0ms
(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
7.0ms
(/ 0.00390625 (pow i 4))
8.0ms
(/ 0.015625 (* i i))

series185.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ 0.0625 (/ 0.015625 (* i i)))
38.0ms
(+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (* i i))))
56.0ms
(/ 0.00390625 (pow i 4))
35.0ms
(/ 0.015625 (* i i))

simplify1.3s

Counts
143 → 143
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01851399
14241264
214611191
done50011173

prune469.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11315
done1315

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid
112.0ms8000×pre80true