Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true

simplify29.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize9.0ms

Local error

Found 1 expressions with local error:

16.6b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite80.0ms

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:
79.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series83.0ms

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

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))
15.9b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite219.0ms

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:
158.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
58.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series173.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
91.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify67.0ms

Counts
92 → 92

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))
0.2b
(* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
0.4b
(/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0)))
0.4b
(/ (sqrt i) (- (* 2.0 i) (sqrt 1.0)))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log add-cbrt-cube
82×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
48×associate-*l*
44×sqrt-prod
38×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
12×associate-/l*
11×pow1
8×associate-*r* associate-/r/
6×frac-times associate-*r/ associate-/r* unswap-sqr
5×div-inv
4×pow-prod-down associate-*l/ add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num *-commutative flip-- flip-+
Counts
4 → 213
Calls
4 calls:
129.0ms
(* (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))
73.0ms
(* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
20.0ms
(/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0)))
20.0ms
(/ (sqrt i) (- (* 2.0 i) (sqrt 1.0)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))
285.0ms
(* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
200.0ms
(/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0)))
221.0ms
(/ (sqrt i) (- (* 2.0 i) (sqrt 1.0)))

simplify49.0ms

Counts
225 → 225

prune541.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* 0.015625 1.0) (pow i 2))
0.5b
(/ (pow (sqrt 1.0) 4) (pow i 4))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
87×unpow-prod-down
78×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log
24×sqrt-prod
21×sqr-pow
15×div-exp associate-/r*
11×associate-/l*
9×add-cbrt-cube
8×pow-to-exp pow-exp
3×cbrt-undiv prod-exp
2×pow1 frac-2neg clear-num div-inv unpow2 add-log-exp
1×cbrt-unprod
Counts
2 → 142
Calls
2 calls:
14.0ms
(/ (* 0.015625 1.0) (pow i 2))
17.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))

series146.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* 0.015625 1.0) (pow i 2))
113.0ms
(/ (pow (sqrt 1.0) 4) (pow i 4))

simplify53.0ms

Counts
148 → 148

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample616.0ms

Algorithm
intervals
Results
340.0ms8000×body80valid
132.0ms8000×pre80true