Details

Time bar (total: 4.1s)

sample56.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
9.0ms256×pre80true

simplify454.0ms

Counts
1 → 1
Iterations
IterNodes
done2041
3709
2152
133
010

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* i i) 4)
18.2b
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
7×pow1
6×add-sqr-sqrt prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt
3×cbrt-undiv associate-/r* times-frac div-exp associate-*r* pow-prod-down
2×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- associate-*l* *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
23.0ms
(* (* i i) 4)
51.0ms
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

series174.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (* i i) 4)
126.0ms
(/ (* (* i i) 1/4) (- (* (* i i) 4) 1.0))

simplify641.0ms

Counts
56 → 56
Iterations
IterNodes
done2001
21278
1323
0119

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
0.2b
(/ 0.00390625 (* (* i i) (* i i)))
0.5b
(/ 0.015625 (* i i))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
114×pow1
38×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
7×add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
6×times-frac associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num associate-/r* frac-2neg div-inv
1×swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
3 → 120
Calls
3 calls:
35.0ms
(* (* i i) (* i i))
29.0ms
(/ 0.00390625 (* (* i i) (* i i)))
11.0ms
(/ 0.015625 (* i i))

series171.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (* i i) (* i i))
66.0ms
(/ 0.00390625 (* (* i i) (* i i)))
43.0ms
(/ 0.015625 (* i i))

simplify608.0ms

Counts
129 → 129
Iterations
IterNodes
done2000
21084
1335
0120

prune239.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.8b

bsearch61.0ms

Steps
ItersRangePoint
7
138.1140304692868
16166.627222860328
244.97799576821288

simplify6.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample1.3s

Algorithm
intervals
Results
947.0ms8000×body80valid
268.0ms8000×pre80true