Details

Time bar (total: 10.0s)

sample21.0ms

Algorithm
intervals
Results
7.0ms343×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

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

rewrite8.0ms

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

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.9s

Counts
14 → 14
Iterations

Useful iterations: 3 (173.0ms)

IterNodesCost
032160
1101155
2342155
3927141
42510141
done5001141

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.3b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
42.0ms
(* (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)))
4.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
109.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
110.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
109.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify2.7s

Counts
99 → 99
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01262030
13131881
28341751
320211590
448581513
done50011452

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
0.2b
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
8.0ms
(+ (* x.re y.im) (* x.im y.re))
41.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
7.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
9.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x.re y.im) (* x.im y.re))
33.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
72.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
70.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01062066
12311475
27371367
324991320
done50011290

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
0.3b
(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
27×unpow-prod-down cube-prod
24×associate-*l* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×flip3-+ associate-*r* flip-+
8×cube-div
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 151
Calls
4 calls:
71.0ms
(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
11.0ms
(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
9.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3) (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))))
146.0ms
(pow (sqrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 3)
73.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
74.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify864.0ms

Counts
163 → 163
Iterations

Useful iterations: done (856.0ms)

IterNodesCost
01833962
14872873
216532556
done50002485

prune373.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

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

sample558.0ms

Algorithm
intervals
Results
210.0ms10406×body80valid