Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms256×pre80true

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
03112
116811
29659
350018
done50018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize8.0ms

Local error

Found 1 expressions with local error:

16.1b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite62.0ms

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:
60.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify40.0ms

Counts
30 → 30
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311392
11550273
25001273
done5001273

prune48.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite189.0ms

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:
137.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
49.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series165.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
83.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify63.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0530978
12493842
25001833
done5001833

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
16.1b
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
52×add-cbrt-cube
38×div-exp
36×prod-exp
20×times-frac
19×cbrt-undiv
18×cbrt-unprod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×rec-exp 1-exp
6×associate-/r* div-inv
4×associate-/l*
3×pow1
2×frac-2neg associate-*l/ clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip associate-/r/ flip-- inv-pow
Counts
2 → 91
Calls
2 calls:
66.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
66.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

series213.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
129.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

simplify69.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05041260
12605985
25002930
done5002930

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ 1 (pow i 2)))
0.3b
(/ 1 (pow i 2))
0.9b
(/ 1 (- 16.0 (* 4.0 (/ 1 (pow i 2)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
65×times-frac
62×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
36×add-exp-log
28×associate-*r*
23×unpow-prod-down
14×div-exp
12×add-cbrt-cube
11×associate-/r*
10×prod-exp
9×unpow2 unswap-sqr sqr-pow
7×rec-exp 1-exp
6×pow1 pow-to-exp pow-exp associate-/l*
3×cbrt-undiv associate-*l* div-inv add-log-exp
2×pow-flip frac-2neg clear-num associate-/r/ cbrt-unprod inv-pow
1×flip3-- associate-*r/ pow-prod-down un-div-inv *-commutative flip--
Counts
3 → 153
Calls
3 calls:
23.0ms
(* 4.0 (/ 1 (pow i 2)))
12.0ms
(/ 1 (pow i 2))
10.0ms
(/ 1 (- 16.0 (* 4.0 (/ 1 (pow i 2)))))

series100.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* 4.0 (/ 1 (pow i 2)))
17.0ms
(/ 1 (pow i 2))
57.0ms
(/ 1 (- 16.0 (* 4.0 (/ 1 (pow i 2)))))

simplify51.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0470875
12054729
25001624
done5001624

prune217.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135
done135

end0.0ms

sample389.0ms

Algorithm
intervals
Results
210.0ms8000×body80valid
61.0ms8000×pre80true