Details

Time bar (total: 6.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms336×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1127
2207
3247
done247

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
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))

simplify1.5s

Counts
19 → 19
Iterations

Useful iterations: 4 (484.0ms)

IterNodesCost
039202
1103193
2314178
3879178
41986173
done5000173

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite31.0ms

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*
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
21.0ms
(* (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)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
111.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
111.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
111.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.2s

Counts
107 → 107
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01332138
13211959
28991835
325041655
done50001652

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite35.0ms

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
expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
pow2 sub-neg pow-plus fma-neg sqrt-unprod diff-log prod-diff prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
3.0ms
(- (* 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))))
4.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
5.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* x.re y.re) (* x.im y.im))
37.0ms
(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
83.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))
85.0ms
(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01232204
12611565
27841464
328061404
done50001397

prune256.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

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

sample515.0ms

Algorithm
intervals
Results
247.0ms10532×body80valid