Details

Time bar (total: 8.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01025
13125
216323
385619
4476415
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×pow1 flip3-- associate-*r/ associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv
Counts
2 → 37
Calls
2 calls:
9.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
19.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series162.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* (* 2.0 2.0) i) (/ 1.0 i))
96.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify640.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
0109820
1292809
21032651
done5000651

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 4.0 i) (/ 1.0 i))
0.1b
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×pow1 flip3-- associate-*r/ associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv
Counts
2 → 37
Calls
2 calls:
4.0ms
(- (* 4.0 i) (/ 1.0 i))
12.0ms
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

series160.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* 4.0 i) (/ 1.0 i))
93.0ms
(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

simplify649.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
0108716
1288705
21003573
done5000573

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify882.0ms

Counts
14 → 14
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
031250
1107243
2384209
31650209
done5000209

prune44.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
13.1b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
45.2b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite113.0ms

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:
12.0ms
(* (* i i) (* i i))
54.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
30.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* i i) (* i i))
82.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
30.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify1.3s

Counts
229 → 229
Iterations

Useful iterations: 2 (461.0ms)

IterNodesCost
02776766
18104554
237803004
done50003004

prune178.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample370.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid
64.0ms8000×pre80true