Details

Time bar (total: 8.3s)

sample39.0ms

Algorithm
intervals
Results
25.0ms333×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done24
324
220
112
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt expm1-log1p-u pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube fma-neg diff-log prod-diff add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u flip--
Counts
1 → 17
Calls
1 calls:
11.0ms
(- (* x.re y.re) (* x.im y.im))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(- (* x.re y.re) (* x.im y.im))

simplify893.0ms

Counts
20 → 20
Iterations
IterNodes
done2002
42002
3970
2324
1108
040

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x.re y.re (- (* x.im y.im)))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma x.re y.re (- (* x.im y.im)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify903.0ms

Counts
14 → 14
Iterations
IterNodes
done2011
62011
5795
4197
360
237
131
022

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
61.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
7.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
7.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
7.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
152.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
126.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
143.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify897.0ms

Counts
111 → 111
Iterations
IterNodes
done2000
32000
2913
1344
0136

prune609.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y.im x.im) (* y.im x.im))
0.2b
(* (* y.im x.im) (* y.im x.im))
2.9b
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
40.7b
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

rewrite648.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
10×cube-unmult
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-cubes
4×expm1-log1p-u pow-plus insert-posit16 log1p-expm1-u associate-/l*
3×associate-/r*
2×pow2 flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
4 → 129
Calls
4 calls:
31.0ms
(* (* y.im x.im) (* y.im x.im))
27.0ms
(* (* y.im x.im) (* y.im x.im))
133.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
453.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* y.im x.im) (* y.im x.im))
35.0ms
(* (* y.im x.im) (* y.im x.im))
191.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
162.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

simplify1.1s

Counts
141 → 141
Iterations
IterNodes
done2007
32007
21663
1393
0147

prune550.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
214
112
07

end0.0ms

sample929.0ms

Algorithm
intervals
Results
626.0ms10496×body80valid