Details

Time bar (total: 24.6s)

sample324.0ms

Algorithm
intervals
Results
78.0ms48×body640valid
76.0ms58×body1280valid
55.0ms252×body80valid
13.0ms20×body320valid
4.0ms1×body2560valid
3.0ms5×body160valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2030
62030
5823
4210
395
262
135
019

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y.re (log (hypot x.re x.im)))
1.6b
(* (atan2 x.im x.re) y.re)
2.1b
(* (atan2 x.im x.re) y.im)
32.1b
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×pow1
10×add-cbrt-cube associate-*r* add-exp-log
9×associate-*l*
6×log-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sin-sum log-pow fma-udef
Counts
4 → 81
Calls
4 calls:
7.0ms
(* y.re (log (hypot x.re x.im)))
11.0ms
(* (atan2 x.im x.re) y.re)
12.0ms
(* (atan2 x.im x.re) y.im)
7.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* y.re (log (hypot x.re x.im)))
18.0ms
(* (atan2 x.im x.re) y.re)
19.0ms
(* (atan2 x.im x.re) y.im)
179.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done2002
42002
31505
2616
1270
0142

prune664.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.0b

localize83.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im))
1.6b
(* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im)))
1.6b
(* (atan2 x.im x.re) y.re)
32.1b
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
13×add-cbrt-cube
12×add-sqr-sqrt
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
7×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod *-commutative
2×unswap-sqr
1×sin-sum fma-udef
Counts
4 → 81
Calls
4 calls:
77.0ms
(* (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im))
17.0ms
(* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im)))
6.0ms
(* (atan2 x.im x.re) y.re)
2.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im))
96.0ms
(* (atan2 x.im x.re) (* (cbrt y.im) (cbrt y.im)))
29.0ms
(* (atan2 x.im x.re) y.re)
155.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.6s

Counts
93 → 93
Iterations
IterNodes
done2000
32000
2825
1301
0139

prune694.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.9b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y.im))
1.6b
(* (atan2 x.im x.re) y.re)
2.1b
(* (atan2 x.im x.re) (* (* (cbrt (cbrt y.im)) (cbrt y.im)) (* (cbrt (cbrt y.im)) (cbrt y.im))))
32.1b
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log
16×add-cbrt-cube
14×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
6×associate-*l*
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×sin-sum pow1/3 fma-udef
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (cbrt y.im))
6.0ms
(* (atan2 x.im x.re) y.re)
119.0ms
(* (atan2 x.im x.re) (* (* (cbrt (cbrt y.im)) (cbrt y.im)) (* (cbrt (cbrt y.im)) (cbrt y.im))))
2.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series772.0ms

Counts
4 → 12
Calls
4 calls:
356.0ms
(cbrt (cbrt y.im))
18.0ms
(* (atan2 x.im x.re) y.re)
279.0ms
(* (atan2 x.im x.re) (* (* (cbrt (cbrt y.im)) (cbrt y.im)) (* (cbrt (cbrt y.im)) (cbrt y.im))))
119.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.3s

Counts
92 → 92
Iterations
IterNodes
done2001
32001
21014
1342
0156

prune816.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize65.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))
1.2b
(* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re)))
2.1b
(* (atan2 x.im x.re) y.im)
32.1b
(sin (fma y.im (log (hypot x.re x.im)) (* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
13×add-cbrt-cube
12×add-sqr-sqrt
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
7×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod *-commutative
2×unswap-sqr
1×sin-sum fma-udef
Counts
4 → 81
Calls
4 calls:
52.0ms
(* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))
21.0ms
(* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re)))
12.0ms
(* (atan2 x.im x.re) y.im)
5.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))
120.0ms
(* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re)))
30.0ms
(* (atan2 x.im x.re) y.im)
211.0ms
(sin (fma y.im (log (hypot x.re x.im)) (* (* (atan2 x.im x.re) (* (cbrt y.re) (cbrt y.re))) (cbrt y.re))))

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done2009
32009
2816
1307
0141

prune633.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

regimes662.0ms

Accuracy

0% (0.3b remaining)

Error of 3.6b against oracle of 3.4b and baseline of 3.6b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample11.7s

Algorithm
intervals
Results
4.5s2220×body1280valid
3.3s8005×body80valid
2.4s1453×body640valid
545.0ms540×body320valid
265.0ms70×body2560valid
162.0ms220×body160valid