Details

Time bar (total: 5.6s)

sample65.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
14.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
82884
71046
6573
5339
4177
395
246
122
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
17.0b
(/ (* x x) (+ (* x x) (* y y)))
27.5b
(/ (* y y) (+ (* x x) (* y y)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×times-frac
*-un-lft-identity
associate-/r/
add-cube-cbrt
associate-/r*
add-log-exp
cbrt-undiv flip3-+ div-exp flip-+ div-inv difference-of-squares
pow1 distribute-rgt-out-- insert-posit16
clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 71
Calls
3 calls:
78.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
32.0ms
(/ (* x x) (+ (* x x) (* y y)))
22.0ms
(/ (* y y) (+ (* x x) (* y y)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
67.0ms
(/ (* x x) (+ (* x x) (* y y)))
79.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
33199
21009
1323
0120

prune714.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.5b

regimes0.0ms