Details

Time bar (total: 12.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2165
131
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
13.6b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
148×add-sqr-sqrt
100×*-un-lft-identity add-cube-cbrt
58×associate-*l*
28×add-cbrt-cube add-exp-log
27×difference-of-squares
13×associate-*r* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×flip3-- flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 187
Calls
2 calls:
168.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
53.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series237.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
106.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.1s

Counts
193 → 193
Iterations
IterNodes
done5000
11110
0331

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
123×add-sqr-sqrt
97×*-un-lft-identity
95×add-cube-cbrt
49×add-exp-log
45×associate-*l*
31×add-cbrt-cube
24×div-exp
16×associate-/l*
13×cbrt-undiv associate-*r*
11×div-inv
10×prod-exp
8×unswap-sqr
6×associate-/r* associate-/r/ cbrt-unprod
5×pow1
3×rec-exp 1-exp add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ associate-/l/
Counts
3 → 197
Calls
3 calls:
16.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
22.0ms
(/ (/ 1 2.0) (- (* 2.0 i) (sqrt 1.0)))
62.0ms
(* (/ (/ 1 2.0) (- (* 2.0 i) (sqrt 1.0))) (/ i 2.0))

series311.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))
74.0ms
(/ (/ 1 2.0) (- (* 2.0 i) (sqrt 1.0)))
135.0ms
(* (/ (/ 1 2.0) (- (* 2.0 i) (sqrt 1.0))) (/ i 2.0))

simplify977.0ms

Counts
206 → 206
Iterations
IterNodes
done5000
11119
0355

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log associate-/l*
7×cbrt-undiv div-exp
4×associate-/r* associate-/r/ div-inv
2×pow1 clear-num frac-2neg associate-*l/ prod-exp cbrt-unprod add-log-exp
1×flip3-+ flip3-- flip-+ flip-- associate-/l/
Counts
2 → 77
Calls
2 calls:
19.0ms
(/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0))
17.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

series247.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ (/ i 2.0) (* (- (* 2.0 i) (sqrt 1.0)) 2.0))
123.0ms
(/ i (+ (* 2.0 i) (sqrt 1.0)))

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5001
22155
1494
0197

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
5×add-sqr-sqrt
4×associate-/r* times-frac prod-exp cbrt-unprod
3×*-un-lft-identity add-cube-cbrt associate-/l/
2×associate-/r/ difference-of-squares
1×frac-times pow1 clear-num frac-2neg flip3-- associate-*l/ associate-*r/ div-inv flip-- associate-/l* add-log-exp
Counts
1 → 34
Calls
1 calls:
59.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.5s

Counts
37 → 37
Iterations
IterNodes
done5000
22385
1338
0107

prune162.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample933.0ms

Algorithm
intervals
Results
583.0ms8000×body80valid
138.0ms8000×pre80true