Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms256×pre80true

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
03212
117211
29749
350018
done50018

prune4.0ms

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)))

rewrite61.0ms

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 expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
60.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify39.0ms

Counts
32 → 32
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0319406
11586285
25001285
done5001285

prune53.0ms

Pruning

3 alts after pruning (3 fresh and 0 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)))
15.4b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite185.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 90
Calls
2 calls:
134.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
48.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series161.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
81.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify61.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0549997
12561859
25001846
done5001846

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite130.0ms

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×expm1-log1p-u frac-2neg associate-*l/ clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip associate-/r/ flip-- inv-pow
Counts
2 → 95
Calls
2 calls:
64.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
63.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

series210.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ 1 (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)))
128.0ms
(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i))

simplify70.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05161292
126521016
25001960
done5001960

prune105.0ms

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)))))

rewrite49.0ms

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 expm1-log1p-u associate-*l* log1p-expm1-u 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 → 159
Calls
3 calls:
25.0ms
(* 4.0 (/ 1 (pow i 2)))
8.0ms
(/ 1 (pow i 2))
10.0ms
(/ 1 (- 16.0 (* 4.0 (/ 1 (pow i 2)))))

series94.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* 4.0 (/ 1 (pow i 2)))
20.0ms
(/ 1 (pow i 2))
49.0ms
(/ 1 (- 16.0 (* 4.0 (/ 1 (pow i 2)))))

simplify51.0ms

Counts
168 → 168
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0481897
12082750
25001643
done5001643

prune226.0ms

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

sample386.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
56.0ms8000×pre80true