Details

Time bar (total: 22.5s)

sample172.0ms

Algorithm
intervals
Results
100.0ms657×body80nan
30.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
315
215
111
08

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sqrt (- (* n s2) (* s1 s1))) n)
2.2b
(- (* n s2) (* s1 s1))
16.7b
(sqrt (- (* n s2) (* s1 s1)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
associate-/l*
add-cbrt-cube add-exp-log add-log-exp
pow1 sqrt-div
associate-/r* flip3-- insert-posit16 flip--
associate-/l/
cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-exp div-inv
Counts
3 → 71
Calls
3 calls:
36.0ms
(/ (sqrt (- (* n s2) (* s1 s1))) n)
42.0ms
(- (* n s2) (* s1 s1))
19.0ms
(sqrt (- (* n s2) (* s1 s1)))

series458.0ms

Counts
3 → 9
Calls
3 calls:
201.0ms
(/ (sqrt (- (* n s2) (* s1 s1))) n)
84.0ms
(- (* n s2) (* s1 s1))
173.0ms
(sqrt (- (* n s2) (* s1 s1)))

simplify4.4s

Counts
80 → 80
Iterations
IterNodes
45343
31525
2545
1219
0110

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 17.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ n (sqrt (- (* n s2) (* s1 s1))))
0.3b
(/ 1 (/ n (sqrt (- (* n s2) (* s1 s1)))))
2.2b
(- (* n s2) (* s1 s1))
16.7b
(sqrt (- (* n s2) (* s1 s1)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
98×add-sqr-sqrt
97×*-un-lft-identity add-cube-cbrt
51×sqrt-prod
30×associate-/r*
17×add-exp-log
12×sqrt-div
11×add-cbrt-cube associate-/r/
div-exp
flip3-- flip--
pow1 div-inv associate-/l* add-log-exp
cbrt-undiv insert-posit16
rec-exp clear-num frac-2neg 1-exp
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log pow-flip inv-pow
Counts
4 → 192
Calls
4 calls:
30.0ms
(/ n (sqrt (- (* n s2) (* s1 s1))))
49.0ms
(/ 1 (/ n (sqrt (- (* n s2) (* s1 s1)))))
18.0ms
(- (* n s2) (* s1 s1))
18.0ms
(sqrt (- (* n s2) (* s1 s1)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ n (sqrt (- (* n s2) (* s1 s1))))
194.0ms
(/ 1 (/ n (sqrt (- (* n s2) (* s1 s1)))))
79.0ms
(- (* n s2) (* s1 s1))
166.0ms
(sqrt (- (* n s2) (* s1 s1)))

simplify5.4s

Counts
204 → 204
Iterations
IterNodes
32999
21213
1582
0247

prune3.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 17.1b

regimes676.0ms

Accuracy

0% (0.2b remaining)

Error of 16.0b against oracle of 15.7b and baseline of 16.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
29
19
08

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.1s23892×body80nan
2.0s8000×body80valid