Details

Time bar (total: 19.8s)

sample83.0ms

Algorithm
intervals
Results
39.0ms342×body80valid
16.0ms335×body80nan

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2167
3347
4837
53687
631947
done50007

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (sqrt (pow x 4.0)) (log x))
20.9b
(sqrt (pow x 4.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-prod
40×times-frac
32×add-sqr-sqrt
30×*-un-lft-identity add-cube-cbrt
19×unpow-prod-down
13×pow1
11×log-pow
10×associate-/l*
sqr-pow
associate-/r* add-cbrt-cube add-exp-log
rem-sqrt-square
add-log-exp
cbrt-undiv clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
2 → 85
Calls
2 calls:
20.0ms
(/ (sqrt (pow x 4.0)) (log x))
6.0ms
(sqrt (pow x 4.0))

series1.9s

Counts
2 → 6
Calls
2 calls:
1.2s
(/ (sqrt (pow x 4.0)) (log x))
765.0ms
(sqrt (pow x 4.0))

simplify2.1s

Counts
91 → 91
Iterations

Useful iterations: 3 (721.0ms)

IterNodesCost
01281166
12271062
26071034
327601029
done50001029

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (pow x (/ 4.0 2))) (/ (log x) (sqrt (pow x (/ 4.0 2)))))
0.3b
(/ (log x) (sqrt (pow x (/ 4.0 2))))
18.1b
(sqrt (pow x (/ 4.0 2)))
18.1b
(sqrt (pow x (/ 4.0 2)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
920×times-frac
672×sqrt-prod
426×add-sqr-sqrt
422×*-un-lft-identity add-cube-cbrt
290×unpow-prod-down
125×pow1
121×log-pow
98×sqr-pow
54×associate-/r*
14×associate-/l*
13×div-inv
11×add-cbrt-cube add-exp-log
rem-sqrt-square
cbrt-undiv div-exp add-log-exp
clear-num frac-2neg sqrt-pow1 pow1/2
associate-/r/
Counts
4 → 613
Calls
4 calls:
55.0ms
(/ (sqrt (pow x (/ 4.0 2))) (/ (log x) (sqrt (pow x (/ 4.0 2)))))
22.0ms
(/ (log x) (sqrt (pow x (/ 4.0 2))))
6.0ms
(sqrt (pow x (/ 4.0 2)))
6.0ms
(sqrt (pow x (/ 4.0 2)))

series4.0s

Counts
4 → 12
Calls
4 calls:
1.3s
(/ (sqrt (pow x (/ 4.0 2))) (/ (log x) (sqrt (pow x (/ 4.0 2)))))
1.1s
(/ (log x) (sqrt (pow x (/ 4.0 2))))
773.0ms
(sqrt (pow x (/ 4.0 2)))
779.0ms
(sqrt (pow x (/ 4.0 2)))

simplify1.8s

Counts
625 → 625
Iterations

Useful iterations: done (1.7s)

IterNodesCost
061719810
1166117543
done500017121

prune2.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample2.3s

Algorithm
intervals
Results
854.0ms10658×body80valid
732.0ms10660×body80nan