Details

Time bar (total: 16.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms272×body80valid

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
done80
580
476
356
240
121
011

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x.im y.re) (* x.re y.im))
27.7b
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite29.0ms

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-- 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 → 48
Calls
2 calls:
11.0ms
(- (* x.im y.re) (* x.re y.im))
15.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x.im y.re) (* x.re y.im))
127.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify2.6s

Counts
54 → 54
Iterations
IterNodes
done5001
32514
2718
1221
088

prune427.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 27.4b

localize36.0ms

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)))) (sqrt (fma y.im y.im (* y.re y.re))))
17.2b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
29.0b
(sqrt (fma y.im y.im (* y.re y.re)))
29.0b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 fma-udef hypot-def
1×flip3-- flip--
Counts
4 → 254
Calls
4 calls:
45.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (sqrt (fma y.im y.im (* y.re y.re))))
32.0ms
(/ (- (* 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)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (sqrt (fma y.im y.im (* y.re y.re))))
203.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
86.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
62.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.9s

Counts
266 → 266
Iterations
IterNodes
done5000
21654
1646
0273

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (hypot y.im y.re))
0.0b
(- (* y.re x.im) (* y.im x.re))
0.1b
(/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re))
27.4b
(* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
90×add-cube-cbrt
43×associate-*r*
32×add-exp-log
20×add-cbrt-cube
16×associate-/l*
14×div-exp
11×div-inv
10×pow1
7×cbrt-undiv
6×associate-/r* add-log-exp
5×prod-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×rec-exp flip3-- 1-exp associate-*l* cbrt-unprod flip--
2×frac-times clear-num frac-2neg associate-*l/ pow-flip inv-pow pow-div
1×sub-neg fma-neg diff-log prod-diff pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
4 → 200
Calls
4 calls:
6.0ms
(/ 1 (hypot y.im y.re))
13.0ms
(- (* y.re x.im) (* y.im x.re))
10.0ms
(/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re))
53.0ms
(* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ 1 (hypot y.im y.re))
64.0ms
(- (* y.re x.im) (* y.im x.re))
86.0ms
(/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re))
179.0ms
(* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.im y.re)) (hypot y.im y.re)))

simplify1.8s

Counts
212 → 212
Iterations
IterNodes
done5009
22474
1680
0251

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 14.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot y.im y.re)
0.0b
(- (* y.re x.im) (* y.im x.re))
0.1b
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
17.2b
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

rewrite70.0ms

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 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 → 131
Calls
4 calls:
0.0ms
(hypot y.im y.re)
10.0ms
(- (* y.re x.im) (* y.im x.re))
26.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
26.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

series440.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(hypot y.im y.re)
50.0ms
(- (* y.re x.im) (* y.im x.re))
152.0ms
(/ (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re)) (hypot y.im y.re))
161.0ms
(/ (- (* y.re x.im) (* y.im x.re)) (hypot y.im y.re))

simplify1.5s

Counts
143 → 143
Iterations
IterNodes
done5001
21437
1466
0192

prune795.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

regimes415.0ms

Accuracy

35.6% (7.3b remaining)

Error of 13.1b against oracle of 5.8b and baseline of 17.1b

bsearch154.0ms

Steps
ItersRangePoint
10
1.225925426010377e+191
2.932258764779337e+206
1.124934690533361e+193
8
-1.3139879803435905e+98
-6.245055495240242e+94
-4.012444222764071e+97

simplify7.0ms

Iterations
IterNodes
done26
126
021

end0.0ms

sample1.1s

Algorithm
intervals
Results
776.0ms8484×body80valid