Details

Time bar (total: 10.5s)

sample43.0ms

Algorithm
intervals
Results
14.0ms336×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2207
3247
done247

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt expm1-log1p-u pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube fma-neg diff-log prod-diff add-exp-log add-cube-cbrt log1p-expm1-u flip--
Counts
1 → 16
Calls
1 calls:
18.0ms
(- (* x.re y.re) (* x.im y.im))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.0s

Counts
19 → 19
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
039202
1107193
2399178
31379178
43593173
done5000173

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt 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)))

series54.0ms

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

simplify2.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
020114
130114
275100
3356100
42717100
done5000100

prune107.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
1.5b
(cbrt (fma x.re y.re (- (* y.im x.im))))
1.5b
(cbrt (fma x.re y.re (- (* y.im x.im))))
1.5b
(cbrt (fma x.re y.re (- (* y.im x.im))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
1.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
4.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
1.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))

series675.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (cbrt (fma x.re y.re (- (* y.im x.im)))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
137.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
147.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
172.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))

simplify863.0ms

Counts
93 → 93
Iterations

Useful iterations: done (859.0ms)

IterNodesCost
01071618
12661497
29291373
done50001250

prune519.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))
0.3b
(* (cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
1.5b
(cbrt (fma x.re y.re (- (* y.im x.im))))
26.3b
(cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×cbrt-prod pow1
12×*-un-lft-identity add-cube-cbrt
9×associate-*r*
8×add-exp-log
7×associate-*l*
6×add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u pow1/3 log1p-expm1-u add-log-exp
3×swap-sqr pow-prod-down
2×prod-exp *-commutative cbrt-unprod fma-udef
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 82
Calls
4 calls:
6.0ms
(* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))
11.0ms
(* (cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
1.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
6.0ms
(cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im)))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))
53.0ms
(* (cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im))))) (cbrt (fma x.re y.re (- (* y.im x.im)))))
195.0ms
(cbrt (fma x.re y.re (- (* y.im x.im))))
188.0ms
(cbrt (* (fma x.re y.re (- (* y.im x.im))) (fma x.re y.re (- (* y.im x.im)))))

simplify749.0ms

Counts
94 → 94
Iterations

Useful iterations: done (742.0ms)

IterNodesCost
01511970
13721870
213531646
done50001455

prune683.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes267.0ms

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

sample1.5s

Algorithm
intervals
Results
457.0ms10455×body80valid