Details

Time bar (total: 6.4s)

sample19.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
done107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:
2.0ms
(+ (* x.re y.im) (* x.im y.re))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.8s

Counts
14 → 14
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
032160
199155
2318141
3860141
42088141
done5000141

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x.re y.im) (* x.re y.im))
0.3b
(* (* x.im y.re) (* x.im y.re))
1.7b
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
25.1b
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
9.0ms
(* (* x.re y.im) (* x.re y.im))
10.0ms
(* (* x.im y.re) (* x.im y.re))
10.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
30.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* x.re y.im) (* x.re y.im))
31.0ms
(* (* x.im y.re) (* x.im y.re))
96.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
76.0ms
(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify801.0ms

Counts
129 → 129
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
01532250
14001968
218391542
done50001514

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
1.5b
(cbrt (- (* x.re y.im) (* x.im y.re)))
1.5b
(cbrt (- (* x.re y.im) (* x.im y.re)))
1.5b
(cbrt (- (* x.re y.im) (* x.im y.re)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
16.0ms
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
2.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
2.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
313.0ms
(/ (+ (* x.re y.im) (* x.im y.re)) (* (cbrt (- (* x.re y.im) (* x.im y.re))) (cbrt (- (* x.re y.im) (* x.im y.re)))))
106.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
107.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))
110.0ms
(cbrt (- (* x.re y.im) (* x.im y.re)))

simplify1.6s

Counts
82 → 82
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01551934
14141868
211481691
334371622
done50001619

prune275.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample504.0ms

Algorithm
intervals
Results
232.0ms10493×body80valid