Details

Time bar (total: 14.3s)

sample43.0ms

Algorithm
intervals
Results
15.0ms337×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2187
done187

prune3.0ms

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.re) (* x.im y.im))

rewrite12.0ms

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:
12.0ms
(- (* x.re y.re) (* x.im y.im))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(- (* x.re y.re) (* x.im y.im))

simplify1.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
033168
194163
2358149
31291149
44183149
done5001149

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.3b
(pow (- (* x.re y.re) (* x.im y.im)) 3)
36.0b
(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

rewrite39.0ms

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:
9.0ms
(- (* x.re y.re) (* x.im y.im))
18.0ms
(pow (- (* x.re y.re) (* x.im y.im)) 3)
11.0ms
(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series254.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* x.re y.re) (* x.im y.im))
157.0ms
(pow (- (* x.re y.re) (* x.im y.im)) 3)
46.0ms
(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

simplify1.4s

Counts
69 → 69
Iterations

Useful iterations: 2 (323.0ms)

IterNodesCost
0971098
1315923
21899825
done5001825

prune150.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
1.2b
(+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im))))
2.8b
(* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))
37.7b
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))

rewrite180.0ms

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-+r+ 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:
18.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
32.0ms
(+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im))))
38.0ms
(* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))
87.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))

series645.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
110.0ms
(+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im))))
80.0ms
(* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))
184.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))

simplify4.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (634.0ms)

IterNodesCost
02114210
16033970
245153736
done50013736

prune718.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

25.8b
(cbrt (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
20×add-sqr-sqrt
14×*-un-lft-identity
12×difference-of-squares sqr-pow
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×difference-cubes flip3-- flip-- distribute-lft-out--
1×flip3-+ flip-+
Counts
4 → 70
Calls
4 calls:
24.0ms
(cbrt (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))
13.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
21.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
13.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

series814.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (+ (* x.re y.re) (* x.im y.im)))))
189.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
191.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
169.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

simplify1.0s

Counts
82 → 82
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01482070
13871871
214721729
done50001699

prune704.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

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
197
done97

end0.0ms

sample1.6s

Algorithm
intervals
Results
821.0ms10447×body80valid