Details

Time bar (total: 11.8s)

sample36.0ms

Algorithm
intervals
Results
17.0ms336×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 12
Calls
1 calls:
18.0ms
(+ (* x.re y.im) (* x.im y.re))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify2.6s

Counts
15 → 15
Iterations
IterNodes
done5000
42454
3930
2339
1102
033

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.8b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.8b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.8b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite82.0ms

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×frac-times add-cbrt-cube insert-posit16 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 → 91
Calls
4 calls:
63.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
5.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
157.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
142.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
128.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.9s

Counts
103 → 103
Iterations
IterNodes
done5001
32460
2922
1335
0128

prune593.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re))))
1.7b
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
3.6b
(* (* x.re y.im) (* x.im y.re))
33.1b
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
16×pow1
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
11×add-log-exp
10×cube-unmult
8×pow-prod-down prod-exp cbrt-unprod
5×sum-cubes
4×flip3-+ flip-+ insert-posit16 associate-/l*
3×associate-/r* sum-log
2×+-commutative associate-+r+ associate-/r/ associate-/l/
1×cbrt-undiv clear-num associate-+r- sub-neg frac-2neg diff-log div-exp associate-*r* associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
128.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re))))
223.0ms
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
58.0ms
(* (* x.re y.im) (* x.im y.re))
874.0ms
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re))))
318.0ms
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
77.0ms
(* (* x.re y.im) (* x.im y.re))
204.0ms
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

simplify1.9s

Counts
100 → 100
Iterations
IterNodes
done5005
22258
1459
0173

prune634.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes312.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample804.0ms

Algorithm
intervals
Results
486.0ms10344×body80valid