Details

Time bar (total: 19.6s)

sample62.0ms

Algorithm
intervals
Results
29.0ms443×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0715
11414
22911
3508
4688
5748
done748

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* 3 (* y y)))
0.2b
(* 3 (* y y))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
1.0ms
(fma x x (* 3 (* y y)))
404.0ms
(* 3 (* y y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(fma x x (* 3 (* y y)))
48.0ms
(* 3 (* y y))

simplify5.3s

Counts
37 → 37
Iterations

Useful iterations: 3 (237.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.2b
(* (* 3 y) y)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x x (* (* 3 y) y))
34.0ms
(* (* 3 y) y)

series109.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(fma x x (* (* 3 y) y))
37.0ms
(* (* 3 y) y)

simplify3.8s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
052307
1116291
2378253
3857247
41706246
done5000246

prune83.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.3b
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
16.4b
(sqrt (* 3 (* y y)))
16.4b
(sqrt (* 3 (* y y)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 117
Calls
4 calls:
32.0ms
(* 3 (* y y))
86.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
20.0ms
(sqrt (* 3 (* y y)))
14.0ms
(sqrt (* 3 (* y y)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 3 (* y y))
101.0ms
(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
50.0ms
(sqrt (* 3 (* y y)))
48.0ms
(sqrt (* 3 (* y y)))

simplify3.7s

Counts
129 → 129
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0841176
1160769
2468653
31835625
done5000617

prune343.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
0.3b
(* (sqrt 3) (* (sqrt 3) (* y y)))
0.3b
(* (sqrt 3) (* y y))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 61
Calls
3 calls:
1.0ms
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
87.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
38.0ms
(* (sqrt 3) (* y y))

series326.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
117.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
68.0ms
(* (sqrt 3) (* y y))

simplify4.4s

Counts
70 → 70
Iterations

Useful iterations: done (4.4s)

IterNodesCost
075787
1162589
2498497
31560481
done5000477

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.0ms