Details

Time bar (total: 11.6s)

sample28.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 11
Calls
1 calls:
12.0ms
(+ (* x.re y.im) (* x.im y.re))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify3.0s

Counts
14 → 14
Iterations
IterNodes
done5001
42518
3926
2338
1101
032

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
1.2b
(log (+ (* x.re y.im) (* x.im y.re)))
2.9b
(exp (log (+ (* x.re y.im) (* x.im y.re))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt log-prod *-un-lft-identity add-cube-cbrt
5×pow1 add-log-exp
4×log-div exp-prod add-exp-log
3×flip3-+ add-cbrt-cube exp-sum flip-+
2×exp-diff log-pow
1×+-commutative sum-log rem-log-exp rem-exp-log
Counts
3 → 42
Calls
3 calls:
6.0ms
(+ (* x.re y.im) (* x.im y.re))
8.0ms
(log (+ (* x.re y.im) (* x.im y.re)))
13.0ms
(exp (log (+ (* x.re y.im) (* x.im y.re))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x.re y.im) (* x.im y.re))
67.0ms
(log (+ (* x.re y.im) (* x.im y.re)))
36.0ms
(exp (log (+ (* x.re y.im) (* x.im y.re))))

simplify2.9s

Counts
51 → 51
Iterations
IterNodes
done5006
43777
31506
2528
1185
082

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))
1.8b
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
4.1b
(* (* x.re y.im) (* x.im y.re))
34.2b
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

rewrite672.0ms

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
8×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×sum-cubes
4×associate-/l*
3×associate-/r* flip3-+ flip-+
2×associate-/r/ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log div-exp associate-*r* associate-*l* *-commutative div-inv flip--
Counts
4 → 82
Calls
4 calls:
25.0ms
(- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))
119.0ms
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
20.0ms
(* (* x.re y.im) (* x.im y.re))
506.0ms
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))
230.0ms
(+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im))))
57.0ms
(* (* x.re y.im) (* x.im y.re))
173.0ms
(/ (+ (* (* x.im y.re) (* (* x.im y.re) (* x.im y.re))) (* (* x.re y.im) (* (* x.re y.im) (* x.re y.im)))) (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))

simplify1.7s

Counts
94 → 94
Iterations
IterNodes
done5000
22069
1445
0172

prune516.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
313.0ms10427×body80valid