Details

Time bar (total: 31.8s)

sample746.0ms

Algorithm
intervals
Results
207.0ms70×body1280valid
173.0ms252×body80valid
78.0ms58×body640valid
25.0ms27×body320valid
8.0ms12×body160valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
65780
5821
4208
395
262
135
019

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y.re (log (hypot x.re x.im)))
1.2b
(* (atan2 x.im x.re) y.re)
1.7b
(* (atan2 x.im x.re) y.im)
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite44.0ms

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×cos-sum log-pow fma-udef
Counts
4 → 81
Calls
4 calls:
23.0ms
(* y.re (log (hypot x.re x.im)))
7.0ms
(* (atan2 x.im x.re) y.re)
6.0ms
(* (atan2 x.im x.re) y.im)
4.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* y.re (log (hypot x.re x.im)))
33.0ms
(* (atan2 x.im x.re) y.re)
34.0ms
(* (atan2 x.im x.re) y.im)
197.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.9s

Counts
93 → 93
Iterations
IterNodes
42764
31331
2624
1284
0150

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (exp (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
1.2b
(* (atan2 x.im x.re) y.re)
1.7b
(* (atan2 x.im x.re) y.im)
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×pow1
8×add-cbrt-cube add-exp-log
6×associate-*r* associate-*l*
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod
2×cos-sum pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
1×log-div exp-diff rem-log-exp
Counts
4 → 72
Calls
4 calls:
10.0ms
(log (exp (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
12.0ms
(* (atan2 x.im x.re) y.re)
13.0ms
(* (atan2 x.im x.re) y.im)
5.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(log (exp (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
31.0ms
(* (atan2 x.im x.re) y.re)
32.0ms
(* (atan2 x.im x.re) y.im)
165.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
42703
31242
2543
1244
0133

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.9b

localize74.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (atan2 x.im x.re) y.im)
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cos-sum associate-*r* associate-*l* fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 54
Calls
4 calls:
16.0ms
(* (atan2 x.im x.re) y.im)
3.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
3.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
3.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (atan2 x.im x.re) y.im)
155.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
159.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))
182.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.1s

Counts
66 → 66
Iterations
IterNodes
42137
3872
2363
1159
082

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.9b

localize118.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (atan2 x.im x.re) y.re)
1.7b
(* (atan2 x.im x.re) y.im)
22.1b
(posit16->real (real->posit16 (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
32.1b
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cos-sum fma-udef remove-posit16
Counts
4 → 64
Calls
4 calls:
12.0ms
(* (atan2 x.im x.re) y.re)
12.0ms
(* (atan2 x.im x.re) y.im)
1.0ms
(posit16->real (real->posit16 (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
6.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (atan2 x.im x.re) y.re)
21.0ms
(* (atan2 x.im x.re) y.im)
190.0ms
(posit16->real (real->posit16 (cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))))
187.0ms
(cos (fma y.im (log (hypot x.re x.im)) (* (atan2 x.im x.re) y.re)))

simplify1.6s

Counts
76 → 76
Iterations
IterNodes
42614
31190
2495
1218
0116

prune2.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

regimes712.0ms

Accuracy

0% (0.0b remaining)

Error of 3.5b against oracle of 3.5b and baseline of 3.5b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
225
125
020

end0.0ms

sample10.3s

Algorithm
intervals
Results
3.9s1947×body1280valid
3.3s7954×body80valid
1.9s1467×body640valid
601.0ms581×body320valid
158.0ms303×body160valid