Details

Time bar (total: 9.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
111124
218124
done18124

prune5.0ms

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
6.0ms
(- (* x.re y.re) (* x.im y.im))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.1s

Counts
15 → 15
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
0333202
1922871
22812871
38902871
425492871
done50012871

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
1.7b
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
5.3b
(* (* x.re y.re) (* x.im y.im))
33.8b
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

rewrite773.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
16×pow1
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
10×cube-unmult
pow-prod-down prod-exp cbrt-unprod add-log-exp
difference-cubes
associate-/l*
associate-/r*
flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg distribute-rgt-out diff-log div-sub div-exp associate-*r* associate-*l* *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
22.0ms
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
158.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
37.0ms
(* (* x.re y.re) (* x.im y.im))
552.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
306.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
53.0ms
(* (* x.re y.re) (* x.im y.im))
224.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

simplify3.1s

Counts
95 → 95
Iterations

Useful iterations: 2 (955.0ms)

IterNodesCost
017141521
148737000
2364236120
done500036120

prune575.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes413.0ms

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
07124
19124
done9124

end0.0ms

sample1.1s

Algorithm
intervals
Results
704.0ms10526×body80valid