Details

Time bar (total: 3.6s)

sample32.0ms

Algorithm
intervals
Results
10.0ms352×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
done107

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x.re y.im) (* x.im y.re))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.1s

Counts
14 → 14
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
032160
1106155
2329141
3873141
42148141
done5000141

prune27.0ms

Filtered
12 candidates to 14 candidates (-16.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re))))
1.5b
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
2.4b
(* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))
33.8b
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re))))
7.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
8.0ms
(* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))
16.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))))

series152.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re))))
49.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
16.0ms
(* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))
55.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (- (* x.im y.re) (* y.im x.re)))))

simplify796.0ms

Counts
103 → 103
Iterations

Useful iterations: done (793.0ms)

IterNodesCost
01683118
14502976
222422733
done50002721

prune159.0ms

Filtered
76 candidates to 103 candidates (-35.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0.0b

Counts
105 → 2

regimes349.0ms

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
077
1107
done107

end0.0ms

sample870.0ms

Algorithm
intervals
Results
324.0ms10540×body80valid

Profiling

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