Details

Time bar (total: 6.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms336×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
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:
3.0ms
(- (* x.re y.re) (* x.im y.im))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (* x.re y.re) (* x.im y.im))

simplify1.4s

Counts
15 → 15
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
033168
190163
2270149
3749149
41675149
done5000149

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.8b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.8b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.8b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
19.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
112.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
118.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01292048
13091899
28381775
322791614
done50001611

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re y.re) (* x.im y.im))
0.2b
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.0b
(sqrt (- (* x.re y.re) (* x.im y.im)))
1.0b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite36.0ms

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
flip3-- flip--
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
2.0ms
(- (* x.re y.re) (* x.im y.im))
20.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
3.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* x.re y.re) (* x.im y.im))
36.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
86.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
88.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify1.5s

Counts
111 → 111
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01132098
12411505
27251393
325721330
done50001324

prune230.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

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
197
done97

end0.0ms

sample495.0ms

Algorithm
intervals
Results
234.0ms10532×body80valid