Details

Time bar (total: 6.5s)

sample25.0ms

Algorithm
intervals
Results
15.0ms450×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (424.0ms)

IterNodesCost
01119
12418
25917
315216
439714
593511
6261410
done500010

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
0.3b
(* -3 (* x.re x.im))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
6.0ms
(* -3 (* x.re x.im))

series104.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(fma x.im (* -3 (* x.re x.im)) (pow x.re 3))
22.0ms
(* -3 (* x.re x.im))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
057338
1136327
2457285
31475282
44940282
done5000282

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
0.2b
(* (* -3 x.re) x.im)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
6.0ms
(* (* -3 x.re) x.im)

series98.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(fma x.im (* (* -3 x.re) x.im) (pow x.re 3))
18.0ms
(* (* -3 x.re) x.im)

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: 3 (267.0ms)

IterNodesCost
060341
1137328
2587286
32297283
done5001283

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x.im (* x.re x.im))
0.2b
(* (* x.im (* x.re x.im)) -3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
6.0ms
(* x.im (* x.re x.im))
18.0ms
(* (* x.im (* x.re x.im)) -3)

series44.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* x.im (* x.re x.im))
25.0ms
(* (* x.im (* x.re x.im)) -3)

simplify375.0ms

Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
065434
1169409
2671337