Details

Time bar (total: 6.4s)

sample31.0ms

Algorithm
intervals
Results
18.0ms347×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2157
done157

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* x x) 2.0) 1.0)
0.0b
(* (* x x) 2.0)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 31
Calls
2 calls:
31.0ms
(- (* (* x x) 2.0) 1.0)
23.0ms
(* (* x x) 2.0)

series116.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(- (* (* x x) 2.0) 1.0)
32.0ms
(* (* x x) 2.0)

simplify3.2s

Counts
37 → 37
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
060335
1139317
2415275
31075275
42294275
done5000275

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 2))
0.0b
(* (* 2.0 2.0) (pow x 4))
9.2b
(/ (- (* (* 2.0 2.0) (pow x 4)) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log
16×add-cube-cbrt *-un-lft-identity
15×associate-*r*
12×prod-exp add-cbrt-cube
times-frac
unpow-prod-down
unswap-sqr
associate-*l* cbrt-unprod sqr-pow
pow1 pow-to-exp pow-exp associate-/r* associate-/l* add-log-exp
associate-/r/ *-commutative associate-/l/ unpow2
cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv
Counts
3 → 86
Calls
3 calls:
21.0ms
(* 2.0 (pow x 2))
36.0ms
(* (* 2.0 2.0) (pow x 4))
69.0ms
(/ (- (* (* 2.0 2.0) (pow x 4)) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

series300.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* 2.0 (pow x 2))
52.0ms
(* (* 2.0 2.0) (pow x 4))
221.0ms
(/ (- (* (* 2.0 2.0) (pow x 4)) (* 1.0 1.0)) (+ 1.0 (* 2.0 (pow x 2))))

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01641526
14051443
213651301
done50001298

prune344.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample652.0ms

Algorithm
intervals
Results
349.0ms10760×body80valid