Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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))

rewrite8.0ms

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

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- (* x.re y.re) (* x.im y.im))

simplify1.5s

Counts
15 → 15
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
033168
192163
2273163
3788149
41796149
done5000149

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))))
1.3b
(sqrt (- (* x.re y.re) (* x.im y.im)))
1.3b
(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite81.0ms

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:
8.0ms
(- (* x.re y.re) (* x.im y.im))
53.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
9.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
9.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x.re y.re) (* x.im y.im))
40.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
93.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
94.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify1.4s

Counts
111 → 111
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01132098
12401505
27031393
322361330
done50001298

prune213.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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

sample551.0ms

Algorithm
intervals
Results
205.0ms10417×body80valid