Details

Time bar (total: 12.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done24
324
220
112
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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 log1p-expm1-u flip--
Counts
1 → 16
Calls
1 calls:
7.0ms
(- (* x.re y.re) (* x.im y.im))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.2s

Counts
19 → 19
Iterations
IterNodes
done5000
42232
3962
2322
1107
039

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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 log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x.re y.re (- (* x.im y.im)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(fma x.re y.re (- (* x.im y.im)))

simplify2.8s

Counts
13 → 13
Iterations
IterNodes
done5000
64092
5887
4254
391
246
131
021

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x.re y.re (- (* x.im y.im)))
0.2b
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.8b
(sqrt (fma x.re y.re (- (* x.im y.im))))
1.8b
(sqrt (fma x.re y.re (- (* x.im y.im))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
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 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x.re y.re (- (* x.im y.im)))
10.0ms
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
1.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(fma x.re y.re (- (* x.im y.im)))
62.0ms
(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
119.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))
105.0ms
(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5006
31824
2489
1199
089

prune478.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y.im x.im) (* y.im x.im))
0.2b
(* (* x.re y.re) (* x.re y.re))
1.8b
(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
39.0b
(/ (- (* (* (* 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 x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

rewrite670.0ms

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
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-cubes cube-unmult pow3
4×expm1-log1p-u pow-plus 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 → 125
Calls
4 calls:
32.0ms
(* (* y.im x.im) (* y.im x.im))
22.0ms
(* (* x.re y.re) (* x.re y.re))
174.0ms
(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
436.0ms
(/ (- (* (* (* 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 x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* y.im x.im) (* y.im x.im))
50.0ms
(* (* x.re y.re) (* x.re y.re))
282.0ms
(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
199.0ms
(/ (- (* (* (* 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 x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

simplify1.5s

Counts
137 → 137
Iterations
IterNodes
done5003
21895
1456
0174

prune533.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes259.0ms

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

sample1.2s

Algorithm
intervals
Results
876.0ms10527×body80valid