Details

Time bar (total: 15.0s)

sample33.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
4.0ms256×pre80true

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.6s)

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 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
Counts
2 → 62
Calls
2 calls:
25.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
50.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
98.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.5s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01561548
13951521
211901361
343651355
done50001355

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
0.0b
(* 0.25 (pow i 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp sum-log
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp associate-+r+ flip3-+ pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
31.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
12.0ms
(* 0.25 (pow i 2))

series120.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
35.0ms
(* 0.25 (pow i 2))

simplify2.1s

Counts
46 → 46
Iterations

Useful iterations: done (2.1s)

IterNodesCost
085639
1214587
2640526
33096526
done5000523

prune130.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
13.9b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
43.3b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log add-cbrt-cube
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×add-cube-cbrt *-un-lft-identity
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×add-log-exp
2×frac-2neg clear-num associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/ unswap-sqr
Counts
3 → 220
Calls
3 calls:
57.0ms
(* (* i i) (* i i))
196.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
83.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (* i i) (* i i))
89.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
28.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify1.8s

Counts
229 → 229
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02776766
16364554
231093004
done50002918

prune212.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample1.2s

Algorithm
intervals
Results
512.0ms8000×body80valid
482.0ms8000×pre80true