Details

Time bar (total: 8.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01025
13125
216323
385619
4472415
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
0.4b
(/ 1.0 (* i i))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
29×add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
14×div-exp
8×cbrt-undiv
5×prod-exp
4×div-inv
3×cbrt-unprod
2×pow1 rec-exp frac-2neg 1-exp associate-*l/ clear-num associate-/r* associate-/r/ add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 73
Calls
2 calls:
16.0ms
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
3.0ms
(/ 1.0 (* i i))

series77.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (/ 1 2.0) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) 2.0))
24.0ms
(/ 1.0 (* i i))

simplify2.4s

Counts
79 → 79
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01831329
14461254
212191051
348881049
done50001049

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series129.0ms

Counts
1 → 3
Calls
1 calls:
129.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify1.0s

Counts
14 → 14
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
031250
1107243
2377209
31568209
done5000209

prune44.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.015625 (* i i)) (+ 0.0625 (/ 0.00390625 (pow i 4))))
0.3b
(/ 0.00390625 (pow i 4))
0.4b
(/ 0.015625 (* i i))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/r* add-log-exp
6×associate-/l*
5×div-exp
4×sqr-pow
3×pow1 cbrt-undiv sum-log distribute-lft-out
2×frac-2neg flip3-+ frac-add clear-num flip-+ div-inv
1×+-commutative pow-to-exp associate-+r+ pow-exp prod-exp cbrt-unprod
Counts
3 → 83
Calls
3 calls:
38.0ms
(+ (/ 0.015625 (* i i)) (+ 0.0625 (/ 0.00390625 (pow i 4))))
3.0ms
(/ 0.00390625 (pow i 4))
3.0ms
(/ 0.015625 (* i i))

series102.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (/ 0.015625 (* i i)) (+ 0.0625 (/ 0.00390625 (pow i 4))))
36.0ms
(/ 0.00390625 (pow i 4))
30.0ms
(/ 0.015625 (* i i))

simplify574.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
01721152
14111053
21325981
done5000981

prune192.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11415
done1415

end0.0ms

sample371.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
66.0ms8000×pre80true