Details

Time bar (total: 7.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2157
done157

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
24.0ms
(* (* x x) 2.0)
21.0ms
(- (* (* x x) 2.0) 1.0)

series100.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (* x x) 2.0)
63.0ms
(- (* (* x x) 2.0) 1.0)

simplify2.8s

Counts
37 → 37
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
060335
1140317
2414275
31099275
42312275
done5000275

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(cbrt (- (* (* x x) 2.0) 1.0))
0.2b
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
21.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
19.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
23.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
203.0ms
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
301.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
318.0ms
(cbrt (- (* (* x x) 2.0) 1.0))
338.0ms
(* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0)))

simplify2.3s

Counts
99 → 99
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01822553
14242324
212592209
345201899
done50001819

prune404.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample514.0ms

Algorithm
intervals
Results
293.0ms10745×body80valid