Details

Time bar (total: 9.4s)

sample48.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations
IterNodes
429
329
219
117
08

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) (* y y))))
30.1b
(sqrt (+ (* x x) (* y y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×*-un-lft-identity times-frac add-cube-cbrt
15×sqrt-prod
associate-/r*
add-cbrt-cube sqrt-div add-exp-log
pow1 associate-/l*
flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
2 → 58
Calls
2 calls:
26.0ms
(/ x (sqrt (+ (* x x) (* y y))))
35.0ms
(sqrt (+ (* x x) (* y y)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ x (sqrt (+ (* x x) (* y y))))
78.0ms
(sqrt (+ (* x x) (* y y)))

simplify2.1s

Counts
64 → 64
Iterations
IterNodes
42990
3922
2377
1175
093

prune847.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.6b

localize45.0ms

Local error

Found 4 expressions with local error:

7.1b
(cbrt (/ x (sqrt (+ (* x x) (* y y)))))
30.1b
(sqrt (+ (* x x) (* y y)))
30.1b
(sqrt (+ (* x x) (* y y)))
30.1b
(sqrt (+ (* x x) (* y y)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
sqrt-div
pow1
flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2
associate-/r/
cbrt-div pow1/3 div-inv
Counts
4 → 82
Calls
4 calls:
13.0ms
(cbrt (/ x (sqrt (+ (* x x) (* y y)))))
16.0ms
(sqrt (+ (* x x) (* y y)))
16.0ms
(sqrt (+ (* x x) (* y y)))
28.0ms
(sqrt (+ (* x x) (* y y)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt (/ x (sqrt (+ (* x x) (* y y)))))
80.0ms
(sqrt (+ (* x x) (* y y)))
90.0ms
(sqrt (+ (* x x) (* y y)))
79.0ms
(sqrt (+ (* x x) (* y y)))

simplify2.1s

Counts
94 → 94
Iterations
IterNodes
43093
31077
2425
1217
0131

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.6b

regimes163.0ms

Accuracy

68.6% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 24.8b

bsearch131.0ms

Steps
ItersRangePoint
7
8.899619087721241e+126
1.7133257233628994e+129
1.943934747643532e+128
6
-1.0003472047102535e+85
-1.7284900070847705e+84
-7.59297678514623e+84

simplify5.0ms

Iterations
IterNodes
217
117
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid