Details

Time bar (total: 11.6s)

sample34.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
4.0ms256×pre80true

simplify514.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
18.2b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-log-exp
3×add-sqr-sqrt
2×pow1 add-cube-cbrt flip3-- *-un-lft-identity associate-*l/ associate-/r/ flip--
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
30.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
88.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify715.0ms

Counts
46 → 46

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
17.5b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×times-frac
26×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
7×associate-*r*
5×pow1 add-log-exp
4×associate-/r* associate-/r/ unswap-sqr
3×flip3-- flip-- div-inv associate-/l*
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 99
Calls
3 calls:
39.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
212.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
95.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series286.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
104.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
103.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify940.0ms

Counts
108 → 108

prune332.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
0.0b
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
0.1b
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
151×add-exp-log
91×add-cbrt-cube
68×prod-exp
51×div-exp
38×cbrt-unprod
37×add-sqr-sqrt
34×times-frac
30×associate-*l*
29×cbrt-undiv
27×add-cube-cbrt *-un-lft-identity
11×pow1
8×rec-exp 1-exp associate-*r*
6×frac-times associate-*r/ associate-/r/
4×pow-prod-down associate-*l/ div-inv unswap-sqr
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×flip3-- pow-flip frac-2neg clear-num flip-- inv-pow
Counts
3 → 158
Calls
3 calls:
109.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
31.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
187.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

series581.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))
102.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
339.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))

simplify1.7s

Counts
167 → 167

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ i (- (* 2.0 i) (sqrt 1.0))) i)
0.0b
(/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) i) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
15×add-sqr-sqrt associate-*l*
13×cbrt-undiv div-exp
11×times-frac
10×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*l/ associate-/r/
3×associate-*r*
2×div-inv add-log-exp unswap-sqr
1×flip3-- frac-2neg flip3-+ pow-prod-down clear-num associate-/r* *-commutative flip-- flip-+ associate-/l/ associate-/l*
Counts
2 → 68
Calls
2 calls:
66.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) i)
59.0ms
(/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) i) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0)))

series362.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (/ i (- (* 2.0 i) (sqrt 1.0))) i)
268.0ms
(/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) i) (* (+ (* 2.0 i) (sqrt 1.0)) (* 2.0 2.0)))

simplify1.2s

Counts
74 → 74

prune165.0ms

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

simplify2.0s

end0.0ms

sample1.1s

Algorithm
intervals
Results
470.0ms8000×pre80true
412.0ms8000×body80valid