Details

Time bar (total: 19.0s)

sample40.0ms

Algorithm
intervals
Results
28.0ms271×body80valid

simplify48.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x.im y.re) (* x.re y.im))
26.4b
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite31.0ms

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:
13.0ms
(- (* x.im y.re) (* x.re y.im))
17.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* 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)))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
32455
2716
1222
090

prune683.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* x.im y.re) (* x.re y.im))
17.2b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
29.9b
(sqrt (fma y.im y.im (* y.re y.re)))
29.9b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite57.0ms

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:
17.0ms
(- (* x.im y.re) (* x.re y.im))
34.0ms
(/ (- (* 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)))
3.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* x.im y.re) (* x.re y.im))
154.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
51.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
49.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify650.0ms

Counts
108 → 108
Iterations
IterNodes
32058
2728
1269
0117

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (hypot y.im y.re)) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))))
0.3b
(- (* x.im y.re) (* x.re y.im))
17.2b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
29.9b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
57×times-frac
43×*-un-lft-identity
40×add-cube-cbrt
28×add-exp-log
27×sqrt-prod
22×associate-*r*
18×add-cbrt-cube
13×associate-*l*
9×div-exp unswap-sqr
8×prod-exp
7×pow1
6×associate-/r* add-log-exp
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u
3×div-inv associate-/l*
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×frac-times rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef hypot-def
Counts
4 → 150
Calls
4 calls:
45.0ms
(* (/ 1 (hypot y.im y.re)) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))))
11.0ms
(- (* x.im y.re) (* x.re y.im))
17.0ms
(/ (- (* 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)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
373.0ms
(* (/ 1 (hypot y.im y.re)) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))))
59.0ms
(- (* x.im y.re) (* x.re y.im))
185.0ms
(/ (- (* 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)))

simplify4.0s

Counts
162 → 162
Iterations
IterNodes
34686
21548
1561
0206

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.6b

localize29.0ms

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))
0.3b
(- (* y.re x.im) (* y.im x.re))
17.2b
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

rewrite54.0ms

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)
22.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
8.0ms
(- (* y.re x.im) (* y.im x.re))
20.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

series479.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(hypot y.im y.re)
177.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
53.0ms
(- (* y.re x.im) (* y.im x.re))
180.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

simplify2.3s

Counts
147 → 147
Iterations
IterNodes
35233
21450
1463
0196

prune1.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

regimes494.0ms

Accuracy

34.3% (6.9b remaining)

Error of 12.9b against oracle of 6.1b and baseline of 16.5b

bsearch139.0ms

Steps
ItersRangePoint
9
3.3617030409348114e+88
5.148711456022248e+94
4.948399038442073e+94
9
-1.222677194113936e+193
-4.9433712907131225e+187
-1.4815058757062313e+190

simplify6.0ms

Iterations
IterNodes
222
122
019

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s8491×body80valid