Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify398.0ms

Counts
1 → 1
Iterations

Useful iterations: done (398.0ms)

IterNodesCost
01025
13125
216323
388519
done500017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize8.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
2×associate-*l/ associate-/r/
1×pow1 add-sqr-sqrt add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
25.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify476.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
096815
1302800
21424544
done5000544

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
16.3b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r* difference-of-squares
4×pow1 associate-/r* associate-/r/ unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 86
Calls
2 calls:
63.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
22.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series166.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
84.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify914.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
01881994
15381948
224301644
done50001644

prune179.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 0.00390625 (pow i 4))
0.3b
(/ 0.015625 (pow i 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
15×associate-/r*
12×add-exp-log
8×sqr-pow
6×div-exp add-cbrt-cube associate-/l*
4×unpow2
2×pow1 cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
2 → 94
Calls
2 calls:
4.0ms
(/ 0.00390625 (pow i 4))
4.0ms
(/ 0.015625 (pow i 2))

series66.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 0.00390625 (pow i 4))
25.0ms
(/ 0.015625 (pow i 2))

simplify624.0ms

Counts
100 → 100
Iterations

Useful iterations: done (620.0ms)

IterNodesCost
01661040
1292942
21130846
done5000838

prune196.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch36.0ms

Steps
ItersRangePoint
7
12.705855632074393
434.2008027916323
245.4970352238536

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02434
12834
done2834

end0.0ms

sample371.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
65.0ms8000×pre80true