Details

Time bar (total: 7.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms327×body80valid

simplify16.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- (* x.re y.re) (* x.im y.im))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(- (* x.re y.re) (* x.im y.im))

simplify1.2s

Counts
15 → 15

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y.re x.re) (* y.im x.im))
0.3b
(pow (- (* y.re x.re) (* y.im x.im)) 3)
35.3b
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 60
Calls
3 calls:
8.0ms
(- (* y.re x.re) (* y.im x.im))
11.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
11.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series320.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* y.re x.re) (* y.im x.im))
207.0ms
(pow (- (* y.re x.re) (* y.im x.im)) 3)
49.0ms
(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify665.0ms

Counts
69 → 69

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re)))
1.4b
(- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3))
2.1b
(* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re)))
37.4b
(/ (- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
52.0ms
(+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re)))
15.0ms
(- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3))
30.0ms
(* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re)))
81.0ms
(/ (- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re)))
253.0ms
(- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3))
69.0ms
(* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re)))
187.0ms
(/ (- (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* (* y.im x.im) (+ (* y.im x.im) (* y.re x.re))) (* (* y.re x.re) (* y.re x.re))))

simplify2.1s

Counts
121 → 121

prune480.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
418.0ms10597×body80valid