Details

Time bar (total: 16.9s)

sample58.0ms

Algorithm
intervals
Results
39.0ms256×body80valid
8.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2284
42284
3711
2147
132
010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1/2 (- 4 (/ 1.0 (* i i))))
0.4b
(/ 1.0 (* i i))

rewrite39.0ms

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:
28.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
10.0ms
(/ 1.0 (* i i))

series89.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1/2 (- 4 (/ 1.0 (* i i))))
30.0ms
(/ 1.0 (* i i))

simplify862.0ms

Counts
70 → 70
Iterations
IterNodes
done2001
32001
2801
1307
0142

prune440.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

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)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
195×add-sqr-sqrt
123×times-frac
82×*-un-lft-identity
50×add-cube-cbrt
48×difference-of-squares
40×sqrt-prod
36×associate-*r*
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 sub-neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 201
Calls
4 calls:
8.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
70.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i))))
19.0ms
(/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i)))
18.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
219.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i))))
84.0ms
(/ 1/2 (- (sqrt 4) (/ (sqrt 1.0) i)))
74.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify969.0ms

Counts
213 → 213
Iterations
IterNodes
done2001
22001
1727
0262

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1.0 (* i i))
13.8b
(cbrt (- 4 (/ 1.0 (* i i))))
13.8b
(cbrt (- 4 (/ 1.0 (* i i))))
13.8b
(cbrt (- 4 (/ 1.0 (* i i))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×cbrt-prod
15×*-un-lft-identity
9×add-cbrt-cube add-exp-log add-cube-cbrt
6×cbrt-div times-frac difference-of-squares
4×pow1 insert-posit16 add-log-exp
3×flip3-- pow1/3 flip-- associate-/l* distribute-lft-out--
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 73
Calls
4 calls:
11.0ms
(/ 1.0 (* i i))
13.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
13.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
13.0ms
(cbrt (- 4 (/ 1.0 (* i i))))

series1.0s

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ 1.0 (* i i))
340.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
306.0ms
(cbrt (- 4 (/ 1.0 (* i i))))
315.0ms
(cbrt (- 4 (/ 1.0 (* i i))))

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done2001
32001
2749
1265
0114

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

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))

rewrite301.0ms

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:
84.0ms
(+ (* 2.0 (* (* i i) (* i i))) (* 8.0 (* (* (* i i) (* i i)) (* i i))))
119.0ms
(* (* (* i i) (* i i)) (* i i))
46.0ms
(* (* i i) (* i i))
41.0ms
(* (* i i) (* i i))

series356.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ (* 2.0 (* (* i i) (* i i))) (* 8.0 (* (* (* i i) (* i i)) (* i i))))
66.0ms
(* (* (* i i) (* i i)) (* i i))
43.0ms
(* (* i i) (* i i))
54.0ms
(* (* i i) (* i i))

simplify1.4s

Counts
361 → 361
Iterations
IterNodes
done2001
32001
21134
1384
0142

prune3.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

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

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid
226.0ms8000×pre80true