Details

Time bar (total: 7.4s)

sample38.0ms

Algorithm
intervals
Results
17.0ms337×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
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:
16.0ms
(+ (* x.re y.im) (* x.im y.re))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify2.8s

Counts
14 → 14
Iterations

Useful iterations: 3 (299.0ms)

IterNodesCost
032160
1101155
2342155
3927141
42510141
done5001141

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im))))
2.3b
(* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))
3.7b
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
36.3b
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))))

rewrite204.0ms

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
pow1
add-log-exp
sum-cubes distribute-lft-out associate-/l*
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in flip3-+ flip-+
associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
30.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im))))
43.0ms
(* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))
18.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
110.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im))))
84.0ms
(* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))
283.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
194.0ms
(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* y.re x.im) (- (* y.re x.im) (* x.re y.im)))))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
01683118
14432966
221532721
done50002721

prune482.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.0s

Algorithm
intervals
Results
555.0ms10410×body80valid