Details

Time bar (total: 6.4s)

sample23.0ms

Algorithm
intervals
Results
12.0ms482×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
0913
11812
24410
3699
4719
done719

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma y 2.0 x) (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma x (fma y 2.0 x) (* y y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(fma x (fma y 2.0 x) (* y y))

simplify883.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
023165
143165
295135
3275135
41209135
done5000135

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (fma y 2.0 x) (* y y))
0.0b
(* (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))))
6.4b
(sqrt (fma x (fma y 2.0 x) (* y y)))
6.4b
(sqrt (fma x (fma y 2.0 x) (* y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma x (fma y 2.0 x) (* y y))
12.0ms
(* (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))))
1.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))
2.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma x (fma y 2.0 x) (* y y))
25.0ms
(* (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))))
62.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))
65.0ms
(sqrt (fma x (fma y 2.0 x) (* y y)))

simplify1.1s

Counts
103 → 103
Iterations

Useful iterations: 3 (240.0ms)

IterNodesCost
0771929
11341333
23151171
310731120
done50001120

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
7.0b
(cbrt (fma x (fma y 2.0 x) (* y y)))
7.0b
(cbrt (fma x (fma y 2.0 x) (* y y)))
7.0b
(cbrt (fma x (fma y 2.0 x) (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
0.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
0.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
139.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
135.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))
144.0ms
(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify2.3s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0931834
11881709
24751562
313601353
446851338
done50001338

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
done69

end0.0ms

sample595.0ms

Algorithm
intervals
Results
374.0ms14354×body80valid