Details

Time bar (total: 19.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms443×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
286
done86

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x x (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x x (* y y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma x x (* y y))

simplify5.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
018108
127105
27185
317585
447285
5174685
6496685
done500085

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot y x)
0.0b
(hypot y x)
0.0b
(* (hypot y x) (hypot y x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
hypot-udef
add-exp-log add-cbrt-cube
expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(hypot y x)
0.0ms
(hypot y x)
11.0ms
(* (hypot y x) (hypot y x))

series193.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(hypot y x)
61.0ms
(hypot y x)
80.0ms
(* (hypot y x) (hypot y x))

simplify5.7s

Counts
58 → 58
Iterations

Useful iterations: 5 (3.0s)

IterNodesCost
044423
180367
2197315
3465289
41023284
54982266
done5000266

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma y y (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma y y (* x x))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(fma y y (* x x))

simplify7.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
018108
126105
27085
317485
447385
5175085
6498285
done500085

prune39.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms