Details

Time bar (total: 10.4s)

sample36.0ms

Algorithm
intervals
Results
21.0ms333×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
13.0ms
(+ (* x.re y.im) (* x.im y.re))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.2s

Counts
15 → 15
Iterations
IterNodes
done2006
42006
3930
2339
1102
033

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))))
1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite62.0ms

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:
45.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
126.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
155.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
150.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done2005
32005
2922
1335
0128

prune511.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.6b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.1b
(exp (log (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1 exp-prod
9×cbrt-prod flip3-+ pow1/3 log-pow flip-+
8×add-sqr-sqrt log-div *-un-lft-identity exp-diff add-cube-cbrt
4×frac-times add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus exp-sum rem-exp-log
Counts
4 → 72
Calls
4 calls:
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
67.0ms
(exp (log (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
151.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
176.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
164.0ms
(exp (log (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))))

simplify1.1s

Counts
84 → 84
Iterations
IterNodes
done2008
32008
2826
1349
0154

prune475.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
11.1b
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
26.8b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
26.8b
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times add-cbrt-cube associate-/r/ associate-/l/
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×pow1 cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16
3×difference-of-squares
2×pow1/3
1×clear-num associate-/r* sub-neg frac-2neg times-frac diff-log div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
33.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
179.0ms
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
28.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
23.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
194.0ms
(/ (* (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
186.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
154.0ms
(cbrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))

simplify1.3s

Counts
94 → 94
Iterations
IterNodes
done2001
32001
21551
1460
0165

prune645.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes410.0ms

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
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
646.0ms10427×body80valid