Details

Time bar (total: 6.0s)

sample74.0ms

Algorithm
intervals
Results
20.0ms225×body160nan
19.0ms506×body80nan
13.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 1.0)
30.3b
(sqrt (- (* x x) 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
sqrt-prod add-log-exp
pow1 *-un-lft-identity add-cube-cbrt
flip3-- add-cbrt-cube sqrt-div add-exp-log flip-- difference-of-squares
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
35.0ms
(- (* x x) 1.0)
16.0ms
(sqrt (- (* x x) 1.0))

series128.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x x) 1.0)
66.0ms
(sqrt (- (* x x) 1.0))

simplify706.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2675
1168
072

prune127.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- x (/ (/ 0.125 x) (* x x))) (/ 0.5 x))
0.1b
(/ (/ 0.125 x) (* x x))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
32×times-frac
21×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×associate-/l*
add-log-exp
cbrt-undiv div-exp
diff-log div-inv distribute-lft-out--
pow1 sub-neg flip3-- prod-exp associate--l+ frac-sub cbrt-unprod flip-- difference-of-squares
associate--l- clear-num associate-/r* frac-2neg associate-/l/
Counts
2 → 68
Calls
2 calls:
171.0ms
(- (- x (/ (/ 0.125 x) (* x x))) (/ 0.5 x))
11.0ms
(/ (/ 0.125 x) (* x x))

series122.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (- x (/ (/ 0.125 x) (* x x))) (/ 0.5 x))
69.0ms
(/ (/ 0.125 x) (* x x))

simplify1.3s

Counts
74 → 74
Iterations
IterNodes
done5001
21847
1388
0160

prune360.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s7437×body160nan
769.0ms15916×body80nan
507.0ms8000×body80valid