Details

Time bar (total: 16.0s)

sample58.0ms

Algorithm
intervals
Results
40.0ms270×body80valid

simplify66.0ms

Counts
1 → 1
Iterations
IterNodes
680
580
476
356
240
121
011

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x.im y.re) (* x.re y.im))
25.2b
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 50
Calls
2 calls:
24.0ms
(- (* x.im y.re) (* x.re y.im))
28.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x.im y.re) (* x.re y.im))
100.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify737.0ms

Counts
56 → 56
Iterations
IterNodes
32462
2717
1223
090

prune731.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* x.im y.re) (* x.re y.im))
16.3b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
29.5b
(sqrt (fma y.im y.im (* y.re y.re)))
29.5b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 associate-/r* add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 fma-udef hypot-def flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
4 → 96
Calls
4 calls:
9.0ms
(- (* x.im y.re) (* x.re y.im))
19.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* x.im y.re) (* x.re y.im))
180.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
60.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
48.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify704.0ms

Counts
108 → 108
Iterations
IterNodes
32132
2760
1270
0117

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (hypot y.im y.re))
0.5b
(- (* x.im y.re) (* x.re y.im))
16.3b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
29.5b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
96×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
51×sqrt-prod
25×associate-/l*
11×add-cbrt-cube add-exp-log
9×associate-/r*
6×div-inv add-log-exp
5×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×div-sub associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff fma-udef hypot-def
Counts
4 → 189
Calls
4 calls:
16.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (hypot y.im y.re))
15.0ms
(- (* x.im y.re) (* x.re y.im))
38.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
2.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (hypot y.im y.re))
70.0ms
(- (* x.im y.re) (* x.re y.im))
164.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
77.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.1s

Counts
201 → 201
Iterations
IterNodes
36453
21681
1615
0259

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot y.im y.re)
0.1b
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
0.5b
(- (* y.re x.im) (* y.im x.re))
16.3b
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv add-log-exp
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×div-sub associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×hypot-udef sub-neg fma-neg diff-log prod-diff
Counts
4 → 135
Calls
4 calls:
0.0ms
(hypot y.im y.re)
15.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
9.0ms
(- (* y.re x.im) (* y.im x.re))
18.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

series444.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(hypot y.im y.re)
169.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
61.0ms
(- (* y.re x.im) (* y.im x.re))
151.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

simplify1.7s

Counts
147 → 147
Iterations
IterNodes
35322
21460
1464
0196

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

regimes420.0ms

Accuracy

33.2% (7.6b remaining)

Error of 12.2b against oracle of 4.6b and baseline of 16.0b

bsearch270.0ms

Steps
ItersRangePoint
10
2.0646135058263718e+160
4.947165806828693e+174
7.096094976191454e+169
7
9.360901854722084e+141
2.677007451147204e+143
1.1159956553026526e+143
9
8.306741962406512e-39
1.1470605594153712e-33
1.1342142675220587e-33
7
-2.4471444152543263e+126
-8.221488516676519e+124
-1.7011328718966327e+126

simplify13.0ms

Iterations
IterNodes
236
136
032

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8496×body80valid