Details

Time bar (total: 7.0s)

sample49.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
8.0ms256×pre80true

simplify491.0ms

Counts
1 → 1
Iterations
IterNodes
done2079
3711
2147
132
010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1/2 (- 4 (/ 1.0 (* i i))))
0.6b
(/ 1.0 (* i i))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×times-frac
23×*-un-lft-identity
15×add-cube-cbrt
9×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/r*
6×associate-/l*
4×distribute-lft-out--
3×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg associate-/r/ insert-posit16 div-inv add-log-exp
1×flip3-- prod-exp cbrt-unprod flip--
Counts
2 → 64
Calls
2 calls:
24.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
11.0ms
(/ 1.0 (* i i))

series120.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
39.0ms
(/ 1.0 (* i i))

simplify589.0ms

Counts
70 → 70
Iterations
IterNodes
done2001
2801
1307
0142

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt 4) (/ (sqrt 1.0) i))
0.0b
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i))))
0.1b
(/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i)))
0.1b
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
179×add-sqr-sqrt
119×times-frac
82×*-un-lft-identity
50×add-cube-cbrt
42×difference-of-squares
36×associate-*r*
35×sqrt-prod
32×add-exp-log
20×add-cbrt-cube
18×associate-*l*
14×associate-/r*
11×div-exp
8×prod-exp associate-/r/ distribute-lft-out
7×pow1 distribute-lft-out--
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
4×cbrt-unprod insert-posit16 div-inv
3×rec-exp flip3-+ 1-exp flip-+
2×clear-num frac-2neg flip3-- flip--
1×frac-times +-commutative sum-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 194
Calls
4 calls:
14.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
82.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i))))
24.0ms
(/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i)))
14.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (sqrt 4) (/ (sqrt 1.0) i))
227.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i))))
92.0ms
(/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i)))
88.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify554.0ms

Counts
206 → 206
Iterations
IterNodes
done2000
1720
0260

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2.0 (* (* i i) (* i i))) (* 8.0 (* (* (* i i) (* i i)) (* i i))))
0.1b
(* (* (* i i) (* i i)) (* i i))
0.1b
(* (* i i) (* i i))
0.1b
(* (* i i) (* i i))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
891×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
69×add-cbrt-cube add-exp-log
47×prod-exp cbrt-unprod
6×add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt insert-posit16
3×associate-*r* associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×+-commutative sum-log flip3-+ pow3 flip-+
Counts
4 → 349
Calls
4 calls:
61.0ms
(+ (* 2.0 (* (* i i) (* i i))) (* 8.0 (* (* (* i i) (* i i)) (* i i))))
108.0ms
(* (* (* i i) (* i i)) (* i i))
40.0ms
(* (* i i) (* i i))
45.0ms
(* (* i i) (* i i))

series367.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(+ (* 2.0 (* (* i i) (* i i))) (* 8.0 (* (* (* i i) (* i i)) (* i i))))
66.0ms
(* (* (* i i) (* i i)) (* i i))
46.0ms
(* (* i i) (* i i))
57.0ms
(* (* i i) (* i i))

simplify835.0ms

Counts
361 → 361
Iterations
IterNodes
done2001
21134
1384
0142

prune347.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample1.6s

Algorithm
intervals
Results
834.0ms8000×body80valid
239.0ms8000×pre80true