Details

Time bar (total: 14.0s)

sample35.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
4.0ms256×pre80true

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
31029
2165
131
010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
11.5b
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite300.0ms

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:
192.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
91.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series256.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i 2.0))
147.0ms
(/ (/ i 2.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify1.5s

Counts
193 → 193
Iterations
IterNodes
done5000
11110
0331

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0))
0.1b
(* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i)))
1.9b
(/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)))
17.1b
(* (/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0)))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
1560×pow1
712×pow-prod-down
330×pow-prod-up
230×pow-sqr
195×times-frac
180×add-cbrt-cube add-exp-log
122×prod-exp cbrt-unprod
108×add-sqr-sqrt
103×*-un-lft-identity add-cube-cbrt
97×pow-plus
62×associate-*l*
27×pow2 difference-of-squares
16×cbrt-undiv div-exp
15×associate-*r*
13×associate-/l*
12×div-inv
11×frac-times
8×associate-*r/
7×associate-*l/
6×flip3-+ flip-+
4×associate-/r* associate-/r/ add-log-exp
3×*-commutative unswap-sqr
2×flip3-- flip--
1×clear-num frac-2neg swap-sqr associate-/l/
Counts
4 → 590
Calls
4 calls:
147.0ms
(* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0))
219.0ms
(* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i)))
347.0ms
(/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)))
926.0ms
(* (/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0))
59.0ms
(* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i)))
219.0ms
(/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)))
172.0ms
(* (/ (/ i 2.0) (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i 2.0)))

simplify1.8s

Counts
602 → 602
Iterations
IterNodes
done5001
11673
0476

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.00390625 (* (* i i) (* i i))) (/ 0.015625 (* i i)))
0.1b
(* (* i i) (* i i))
0.2b
(/ 0.00390625 (* (* i i) (* i i)))
0.2b
(/ 0.015625 (* i i))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
39×add-cbrt-cube add-exp-log
36×pow-prod-up
23×pow-prod-down
22×pow-sqr
18×pow-plus
17×prod-exp cbrt-unprod
13×pow2
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
7×cbrt-undiv div-exp
6×times-frac associate-/l* add-log-exp
2×clear-num associate-/r* frac-2neg div-inv
1×+-commutative sum-log flip3-+ swap-sqr associate-*r* associate-*l* frac-add *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 124
Calls
4 calls:
78.0ms
(+ (/ 0.00390625 (* (* i i) (* i i))) (/ 0.015625 (* i i)))
28.0ms
(* (* i i) (* i i))
35.0ms
(/ 0.00390625 (* (* i i) (* i i)))
13.0ms
(/ 0.015625 (* i i))

series262.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(+ (/ 0.00390625 (* (* i i) (* i i))) (/ 0.015625 (* i i)))
57.0ms
(* (* i i) (* i i))
59.0ms
(/ 0.00390625 (* (* i i) (* i i)))
29.0ms
(/ 0.015625 (* i i))

simplify2.1s

Counts
136 → 136
Iterations
IterNodes
done5000
23328
1435
0137

prune362.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.7b

bsearch61.0ms

Steps
ItersRangePoint
9
0.014103406632899974
16642.550415681522
220.12445855917582

simplify5.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample679.0ms

Algorithm
intervals
Results
445.0ms8000×body80valid
112.0ms8000×pre80true