Details

Time bar (total: 16.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
4.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2165
131
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.8b

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))
17.2b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite321.0ms

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:
225.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
79.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series219.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
126.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.1s

Counts
193 → 193
Iterations
IterNodes
done5000
11110
0331

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
0.1b
(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
0.1b
(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
0.5b
(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
326×times-frac
223×add-sqr-sqrt
176×*-un-lft-identity add-cube-cbrt
97×add-cbrt-cube add-exp-log
91×sqrt-prod
85×associate-*r*
38×cbrt-undiv div-exp
32×prod-exp cbrt-unprod
28×associate-/l*
25×associate-*l*
12×div-inv unswap-sqr
11×pow1
8×associate-/r/
6×frac-times associate-/r* associate-*l/
4×pow-prod-down associate-*r/ add-log-exp
2×clear-num frac-2neg flip3-+ flip3-- *-commutative flip-+ flip--
1×associate-/l/
Counts
4 → 340
Calls
4 calls:
118.0ms
(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
20.0ms
(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
24.0ms
(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
157.0ms
(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
326.0ms
(* (* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))) (/ i 2.0))
351.0ms
(/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0)))
266.0ms
(/ (sqrt i) (+ (* i 2.0) (sqrt 1.0)))
349.0ms
(* (/ (sqrt i) (+ (* i 2.0) (sqrt 1.0))) (/ (/ (sqrt i) 2.0) (- (* i 2.0) (sqrt 1.0))))

simplify1.6s

Counts
352 → 352
Iterations
IterNodes
done5000
11844
0555

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

17.8b
(/ (* (/ i 2.0) (/ i 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite71.0ms

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:
70.0ms
(/ (* (/ 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))

simplify2.0s

Counts
37 → 37
Iterations
IterNodes
done5000
22385
1338
0107

prune129.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
107×add-sqr-sqrt
71×*-un-lft-identity add-cube-cbrt
45×associate-*r* associate-*l*
37×add-cbrt-cube add-exp-log
18×cbrt-undiv div-exp
9×prod-exp cbrt-unprod unswap-sqr
8×div-inv
4×associate-/r/
3×pow1
1×frac-times flip3-+ flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ flip-- add-log-exp
Counts
1 → 129
Calls
1 calls:
137.0ms
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

series297.0ms

Counts
1 → 3
Calls
1 calls:
297.0ms
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i 2.0) (- (* 2.0 i) (sqrt 1.0))))

simplify1.5s

Counts
132 → 132
Iterations
IterNodes
done5000
11127
0315

prune766.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
847.0ms8000×body80valid
138.0ms8000×pre80true