Details

Time bar (total: 17.0s)

sample61.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
9.0ms256×pre80true

simplify2.2s

Counts
1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.1b
(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite22.0ms

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:
Slowest
15.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
6.0ms
(/ 1.0 (* i i))

series113.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
71.0ms
(/ 1/4 (- 4 (/ 1.0 (* i i))))
42.0ms
(/ 1.0 (* i i))

simplify786.0ms

Counts
70 → 70

prune557.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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:
Slowest
59.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
29.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))
26.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
8.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))

series529.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
102.0ms
(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
97.0ms
(- (sqrt 4) (/ (sqrt 1.0) i))
80.0ms
(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.1s

Counts
213 → 213

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1.0 (* i i))
0.1b
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
0.1b
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
90×times-frac
71×*-un-lft-identity
45×add-cube-cbrt
42×associate-*r*
40×cbrt-prod
26×difference-of-squares
22×add-exp-log
15×add-cbrt-cube
13×distribute-lft-out--
9×associate-/l*
8×pow1
7×associate-/r* prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×associate-/r/
3×pow-prod-down insert-posit16 div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- flip--
1×associate-*l* associate-*r/ *-commutative
Counts
3 → 151
Calls
3 calls:
Slowest
68.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
17.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
12.0ms
(/ 1.0 (* i i))

series248.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
113.0ms
(* (* (cbrt 1/4) (cbrt 1/4)) (/ (cbrt 1/4) (- 4 (/ 1.0 (* i i)))))
107.0ms
(/ (cbrt 1/4) (- 4 (/ 1.0 (* i i))))
28.0ms
(/ 1.0 (* i i))

simplify814.0ms

Counts
160 → 160

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* i i) (* i i))
0.1b
(* (* i i) (+ 0.25 (* (* i i) 1.0)))
0.1b
(* (* 4.0 (* i i)) (* (* i i) (* i i)))
0.0b
(* 4.0 (* i i))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
194×pow1
95×add-cbrt-cube add-exp-log
83×pow-prod-down
68×prod-exp cbrt-unprod
36×pow-prod-up
22×pow-sqr
18×pow-plus
13×pow2
8×add-sqr-sqrt
6×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×*-commutative insert-posit16 add-log-exp
3×unswap-sqr
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ swap-sqr flip-+
Counts
4 → 164
Calls
4 calls:
Slowest
142.0ms
(* (* 4.0 (* i i)) (* (* i i) (* i i)))
44.0ms
(* (* i i) (* i i))
37.0ms
(* (* i i) (+ 0.25 (* (* i i) 1.0)))
25.0ms
(* 4.0 (* i i))

series348.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(* (* i i) (+ 0.25 (* (* i i) 1.0)))
94.0ms
(* (* 4.0 (* i i)) (* (* i i) (* i i)))
55.0ms
(* 4.0 (* i i))
54.0ms
(* (* i i) (* i i))

simplify2.9s

Counts
176 → 176

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
983.0ms8000×body80valid
284.0ms8000×pre80true