Details

Time bar (total: 9.3s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify241.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
37718
412818
518418
621118
721618
done21618

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize16.0ms

Local error

Found 2 expressions with local error:

4.7b
(- (* x x) (* (* y 4.0) y))
30.6b
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
15.0ms
(- (* x x) (* (* y 4.0) y))
38.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* x x) (* (* y 4.0) y))
114.0ms
(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0901183
12201154
27751046
330571044
done50001043

prune222.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
22.3b
(/ (* x x) (fma x x (* (* y 4.0) y)))
22.6b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×prod-diff
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
19×div-inv
17×add-exp-log add-cbrt-cube
fma-neg
associate-/r*
cbrt-undiv div-exp add-log-exp
prod-exp cbrt-unprod
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num associate-/l* difference-of-squares
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 124
Calls
3 calls:
26.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
17.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
36.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
86.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
81.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

simplify1.7s

Counts
133 → 133
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02027019
15005841
217174714
done50003980

prune324.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

22.3b
(/ (* x x) (fma x x (* (* y 4.0) y)))
22.6b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
22.6b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
22.6b
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
11×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
4 → 98
Calls
4 calls:
18.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
37.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
45.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
38.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
66.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
98.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))
93.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

simplify3.4s

Counts
110 → 110
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
0952022
12341985
29071577
347121577
done50001577

prune417.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

regimes1.0ms