Details

Time bar (total: 17.2s)

sample57.0ms

Algorithm
intervals
Results
39.0ms275×body80valid

simplify87.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y.im y.im (* y.re y.re))
0.5b
(- (* x.im y.re) (* x.re y.im))
24.7b
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff fma-udef div-inv
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma y.im y.im (* y.re y.re))
12.0ms
(- (* 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)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(fma y.im y.im (* y.re y.re))
55.0ms
(- (* x.im y.re) (* x.re y.im))
102.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify975.0ms

Counts
67 → 67
Iterations
IterNodes
32949
2850
1232
096

prune817.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* x.im y.re) (* x.re y.im))
16.1b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
27.8b
(sqrt (fma y.im y.im (* y.re y.re)))
27.8b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite39.0ms

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 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 → 92
Calls
4 calls:
14.0ms
(- (* x.im y.re) (* x.re y.im))
21.0ms
(/ (- (* 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)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* x.im y.re) (* x.re y.im))
141.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
81.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
78.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify580.0ms

Counts
104 → 104
Iterations
IterNodes
32021
2727
1266
0114

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.2b

localize31.0ms

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))
16.1b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
27.8b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite79.0ms

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 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 → 185
Calls
4 calls:
27.0ms
(/ (/ (- (* 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))
30.0ms
(/ (- (* 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)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re)))) (hypot y.im y.re))
46.0ms
(- (* x.im y.re) (* x.re y.im))
141.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
63.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.4s

Counts
197 → 197
Iterations
IterNodes
36139
21617
1611
0255

prune2.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot y.im y.re)
0.1b
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re)) (hypot y.im y.re))
0.5b
(- (* x.im y.re) (* x.re y.im))
16.1b
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re))

rewrite45.0ms

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)
20.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re)) (hypot y.im y.re))
7.0ms
(- (* x.im y.re) (* x.re y.im))
14.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re))

series458.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(hypot y.im y.re)
157.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re)) (hypot y.im y.re))
68.0ms
(- (* x.im y.re) (* x.re y.im))
159.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.im y.re))

simplify2.4s

Counts
143 → 143
Iterations
IterNodes
35210
21431
1463
0194

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.3b

regimes370.0ms

Accuracy

36.1% (6.4b remaining)

Error of 12.7b against oracle of 6.3b and baseline of 16.3b

bsearch133.0ms

Steps
ItersRangePoint
9
3.811748495089899e+151
1.3867628498518926e+160
1.5338542263631544e+153
7
-5.556027931745847e+201
-5.458413144479369e+199
-5.5307531516126024e+200

simplify3.0ms

Iterations
IterNodes
222
122
019

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s8454×body80valid