Details

Time bar (total: 15.7s)

sample24.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2207
3247
done247

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×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:
9.0ms
(- (* x.re y.re) (* x.im y.im))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.3s

Counts
19 → 19
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
039202
1107193
2405178
31446178
43799173
done5000173

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x.re y.re (- (* y.im x.im)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(fma x.re y.re (- (* y.im x.im)))

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
020114
130114
268100
3298100
42196100
done5000100

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
1.7b
(fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im))))
2.8b
(* (* y.im x.im) (fma x.re y.re (* y.im x.im)))
37.7b
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
64×prod-diff
56×add-sqr-sqrt
46×*-un-lft-identity
37×sqr-pow
36×add-cube-cbrt
27×times-frac
20×difference-of-squares
17×cube-mult unpow-prod-down unpow3 cube-prod
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×fma-neg
6×add-log-exp
5×difference-cubes distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod fma-udef
2×flip3-- flip-- associate-/l/
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp associate-*l* clear-num *-commutative div-inv
Counts
4 → 180
Calls
4 calls:
22.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
0.0ms
(fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im))))
18.0ms
(* (* y.im x.im) (fma x.re y.re (* y.im x.im)))
53.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))

series676.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
134.0ms
(fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im))))
86.0ms
(* (* y.im x.im) (fma x.re y.re (* y.im x.im)))
183.0ms
(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))

simplify4.1s

Counts
192 → 192
Iterations

Useful iterations: done (4.1s)

IterNodesCost
02786918
16935503
241584623
done50004619

prune759.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

25.8b
(cbrt (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
36.0b
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
20×add-sqr-sqrt
14×*-un-lft-identity
12×difference-of-squares sqr-pow
8×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×difference-cubes flip3-- flip-- distribute-lft-out--
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))
12.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
18.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
20.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (fma (* x.re y.re) (* x.re y.re) (* (* y.im x.im) (fma x.re y.re (* y.im x.im)))))
166.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
179.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
144.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))

simplify1.0s

Counts
88 → 88
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
01382010
13481835
211281696
done50001669

prune773.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2147
done147

end0.0ms

sample1.6s

Algorithm
intervals
Results
853.0ms10447×body80valid