Details

Time bar (total: 18.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.8s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
3×associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 50
Calls
1 calls:
62.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.7s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01431332
13631310
211061178
339671176
done50001176

prune134.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
0.1b
(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
33×add-sqr-sqrt
28×times-frac
25×add-cbrt-cube
21×*-un-lft-identity
19×add-cube-cbrt
16×div-exp prod-exp
15×associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×unswap-sqr
5×pow1
4×rec-exp 1-exp associate-/r/
3×associate-/r* div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 92
Calls
2 calls:
154.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
53.0ms
(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
90.0ms
(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.0s

Counts
98 → 98
Iterations

Useful iterations: 2 (403.0ms)

IterNodesCost
01852108
14901908
215481592
done50011592

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
0.6b
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×add-exp-log
33×associate-/r*
28×div-exp
25×add-cbrt-cube
22×div-inv
14×cbrt-undiv
6×associate-/r/ associate-/l*
4×rec-exp 1-exp prod-exp
3×pow1
2×frac-2neg clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 187
Calls
2 calls:
86.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
89.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

series259.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
107.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

simplify1.6s

Counts
193 → 193
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03255488
17905039
221824538
done50004395

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (pow i 3))
0.0b
(* 16.0 (pow i 5))
0.0b
(+ (* 16.0 (pow i 5)) (* 1.0 i))
0.0b
(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
29×associate-*r*
23×add-exp-log
17×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×prod-exp
9×unswap-sqr
8×unpow-prod-down
6×pow1 cbrt-unprod add-log-exp
4×times-frac cube-prod distribute-neg-frac sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ *-commutative flip-+
2×cbrt-undiv frac-times pow-to-exp distribute-neg-in associate-*r/ div-exp pow-exp
1×+-commutative distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 pow-prod-down associate-*l/ sum-log distribute-rgt-neg-out div-inv
Counts
4 → 109
Calls
4 calls:
17.0ms
(* 4.0 (pow i 3))
11.0ms
(* 16.0 (pow i 5))
11.0ms
(+ (* 16.0 (pow i 5)) (* 1.0 i))
266.0ms
(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* 4.0 (pow i 3))
73.0ms
(* 16.0 (pow i 5))
185.0ms
(+ (* 16.0 (pow i 5)) (* 1.0 i))
135.0ms
(* (/ i (* 2.0 2.0)) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))))

simplify1.9s

Counts
121 → 121
Iterations

Useful iterations: 2 (564.0ms)

IterNodesCost
02242023
16311877
225561687
done50011687

prune383.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11717
done1717

end0.0ms

sample627.0ms

Algorithm
intervals
Results
342.0ms8000×body80valid
93.0ms8000×pre80true