Details

Time bar (total: 8.1s)

sample49.0ms

Algorithm
intervals
Results
29.0ms331×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune9.0ms

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))

rewrite7.0ms

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

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.0s

Counts
15 → 15
Iterations
IterNodes
42465
3940
2339
1102
033

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))))
1.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite61.0ms

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:
44.0ms
(* (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)))
8.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
138.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
140.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
159.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify802.0ms

Counts
103 → 103
Iterations
IterNodes
32038
2842
1335
0128

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
0.3b
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.3b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.3b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
9.0ms
(+ (* x.re y.im) (* x.im y.re))
34.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
10.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* x.re y.im) (* x.im y.re))
50.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
97.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
87.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify985.0ms

Counts
114 → 114
Iterations
IterNodes
32801
2787
1260
0109

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes428.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
691.0ms10391×body80valid