math.sqrt on complex, real part

Time bar (total: 8.5s)

analyze125.0ms (1.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
68.8%68.7%31.2%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
71.9%71.8%28.1%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
73.4%73.4%26.5%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 32.0ms (49.1% of total)
ival-sqrt: 20.0ms (30.7% of total)
ival-add: 11.0ms (16.9% of total)
const: 2.0ms (3.1% of total)

sample2.1s (24%)

Results
1.1s6306×0valid
236.0ms1046×1valid
315.0ms904×2valid
Precisions
Click to see histograms. Total time spent on operations: 880.0ms
ival-mult: 378.0ms (43% of total)
ival-add: 203.0ms (23.1% of total)
ival-sqrt: 203.0ms (23.1% of total)
backward-pass: 75.0ms (8.5% of total)
const: 21.0ms (2.4% of total)
Bogosity

preprocess86.0ms (1%)

Algorithm
1×egg-herbie
Rules
255×fma-neg
205×fma-define
61×distribute-rgt-in
43×sub-neg
43×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3333266
4531266
5734266
6941266
71149266
81242266
91252266
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (hypot.f64 re im)))))
Symmetry

(abs im)

explain205.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-3(-8.228832340486073e-156 3.892448283693073e-265)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
410-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
210-3(-5.25064147097897e-88 4.845937403815936e-200)(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
70.0ms394×256valid
28.0ms44×1024valid
22.0ms36×2048valid
18.0ms28×4096valid
3.0ms10×512valid
Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 33.0ms (44.7% of total)
ival-sqrt: 26.0ms (35.2% of total)
ival-add: 11.0ms (14.9% of total)
const: 3.0ms (4.1% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶42.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize162.0ms (1.9%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
✓93.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓86.1%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓56.1%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓93.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓86.1%
(+.f64 re (hypot.f64 re im))
Results
55.0ms197×256valid
21.0ms22×1024valid
16.0ms18×2048valid
17.0ms14×4096valid
3.0ms5×512valid
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 38.0ms (44.8% of total)
ival-sqrt: 20.0ms (23.6% of total)
composed: 14.0ms (16.5% of total)
ival-add: 10.0ms (11.8% of total)
const: 3.0ms (3.5% of total)

series31.0ms (0.4%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (+.f64 re (hypot.f64 re im))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
#<alt (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))>
Outputs
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
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#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (*.f64 #s(literal -2 binary64) im)>
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#<alt im>
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#<alt re>
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#<alt (*.f64 #s(literal -1 binary64) re)>
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#<alt re>
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#<alt im>
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#<alt (*.f64 #s(literal -1 binary64) im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (+.f64 im re)>
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#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
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#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
im
@0
(sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))
2.0ms
re
@-inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms
im
@0
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms
re
@inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms
im
@inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))

rewrite259.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1118×log1p-expm1-u
1118×expm1-log1p-u
714×fma-define
356×fma-neg
105×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020177
1296177
23462177
Stop Event
1×node limit
Counts
7 → 265
Calls
Call 1
Inputs
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (hypot.f64 re im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (neg.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
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(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))

simplify455.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
575×fma-define
463×associate-*r*
431×*-commutative
394×associate-*l*
315×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070722787
1199621895
2680821867
Stop Event
1×node limit
Counts
433 → 419
Calls
Call 1
Inputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(*.f64 #s(literal 2 binary64) re)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) im)
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
(*.f64 #s(literal 4 binary64) re)
(*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (neg.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
Outputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal 1 binary64)) im)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)) im)
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 5/64 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 8 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (neg.f64 re))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 2 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) re)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re #s(literal 2 binary64)))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) im)))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 re (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) im)) im))))
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(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 re (-.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 re (-.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 im re))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 im re))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))

eval337.0ms (3.9%)

Compiler

Compiled 9798 to 7248 computations (26% saved)

prune216.0ms (2.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New40910419
Fresh000
Picked112
Done000
Total41011421
Accuracy
90.6%
Counts
421 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
26.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
▶75.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))))
17.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
▶51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
▶54.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
▶51.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
75.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
✓79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
13.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
Compiler

Compiled 290 to 223 computations (23.1% saved)

localize722.0ms (8.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
✓74.4%
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
✓100.0%
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
✓90.8%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
✓99.6%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
Results
513.0ms190×256valid
59.0ms66×256invalid
Compiler

Compiled 231 to 126 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 380.0ms
ival-mult: 236.0ms (62.2% of total)
ival-add: 45.0ms (11.9% of total)
ival-pow: 43.0ms (11.3% of total)
ival-sqrt: 28.0ms (7.4% of total)
composed: 19.0ms (5% of total)
const: 7.0ms (1.8% of total)
ival-div: 2.0ms (0.5% of total)

series58.0ms (0.7%)

Counts
5 → 117
Calls
Call 1
Inputs
#<alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))>
#<alt (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))>
Outputs
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) im)))))>
#<alt (+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 8 binary64))))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 8 binary64))))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))))))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 8 binary64))))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))))))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 8 binary64)))) #s(literal 2 binary64))) (pow.f64 im #s(literal 9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) re))>
#<alt (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re)))))))>
#<alt (+.f64 (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 4 binary64) re)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 im (pow.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 32 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 im (pow.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
Calls

30 calls:

TimeVariablePointExpression
17.0ms
re
@0
(sqrt (+ (* 2 im) (* re (+ 2 (/ re im)))))
2.0ms
re
@-inf
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)
2.0ms
im
@0
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)
2.0ms
im
@-inf
(* re (+ 2 (/ re im)))
2.0ms
re
@0
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)

rewrite169.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1220×log1p-expm1-u
396×expm1-log1p-u
177×add-exp-log
177×add-cube-cbrt
176×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027173
1413165
25637165
Stop Event
1×node limit
Counts
5 → 142
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))) (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))
(*.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 #s(literal 2 binary64) im))))))
(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (*.f64 #s(literal 2 binary64) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))))
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) (-.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(/.f64 (*.f64 re (+.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 re im) (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(/.f64 (*.f64 re (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 8 binary64)) re) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 re im) (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) re) (-.f64 #s(literal 2 binary64) (/.f64 re im)))
(pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(exp.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 re #s(literal 2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))) #s(literal 1 binary64)))

simplify229.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
876×fma-define
426×distribute-lft-in
422×distribute-rgt-in
401×*-commutative
282×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09834294986055
130074294984656
Stop Event
1×node limit
Counts
259 → 426
Calls
Call 1
Inputs
(*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) im)))))
(+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
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(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (*.f64 #s(literal 2 binary64) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))))
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) (-.f64 (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(/.f64 (*.f64 re (+.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 re im) (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(/.f64 (*.f64 re (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 8 binary64)) re) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 re im) (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) re) (-.f64 #s(literal 2 binary64) (/.f64 re im)))
(pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(exp.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 re #s(literal 2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) re (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) im)))))
(fma.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im))))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) re) im) #s(literal 2 binary64)) (*.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)))))))
(fma.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)))))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (*.f64 im #s(literal 2 binary64)))
(*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 re #s(literal 4 binary64))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 4 binary64)))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(exp.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(fma.f64 re #s(literal 2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(fma.f64 #s(literal 2 binary64) re (/.f64 (pow.f64 re #s(literal 2 binary64)) im))
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64))))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))

eval349.0ms (4.1%)

Compiler

Compiled 13484 to 10561 computations (21.7% saved)

prune128.0ms (1.5%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4233426
Fresh145
Picked055
Done011
Total42413437
Accuracy
90.6%
Counts
437 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
▶53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
▶26.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
✓75.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))))
▶17.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
12.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))))
✓54.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
▶6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
✓51.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
▶75.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
✓79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
13.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
Compiler

Compiled 286 to 225 computations (21.3% saved)

localize244.0ms (2.9%)

Results
163.0ms256×256invalid
Compiler

Compiled 191 to 88 computations (53.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-pow: 48.0ms (36.2% of total)
ival-mult: 32.0ms (24.1% of total)
ival-sqrt: 24.0ms (18.1% of total)
composed: 13.0ms (9.8% of total)
ival-div: 6.0ms (4.5% of total)
const: 5.0ms (3.8% of total)
ival-add: 4.0ms (3% of total)
ival-neg: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune20.0ms (0.2%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done066
Total01313
Accuracy
90.6%
Counts
13 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
✓53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓26.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
✓75.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))))
✓17.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
▶12.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))))
✓54.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
✓6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
✓51.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓75.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
✓79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
▶13.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
Compiler

Compiled 184 to 144 computations (21.7% saved)

localize351.0ms (4.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.1%
(/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
✓96.9%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))
✓94.0%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))))
✓93.3%
(sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re)))
✓100.0%
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))
✓97.0%
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)
✓93.3%
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))
✓93.2%
(/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
Results
187.0ms190×256invalid
66.0ms66×256valid
Compiler

Compiled 206 to 156 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-pow: 102.0ms (45% of total)
ival-mult: 40.0ms (17.6% of total)
ival-div: 37.0ms (16.3% of total)
composed: 15.0ms (6.6% of total)
ival-add: 13.0ms (5.7% of total)
const: 8.0ms (3.5% of total)
ival-sqrt: 7.0ms (3.1% of total)
ival-neg: 4.0ms (1.8% of total)

series40.0ms (0.5%)

Counts
8 → 117
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))>
#<alt (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
im
@inf
(sqrt (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow re 2))) (pow im 2)) re)))
4.0ms
re
@-inf
(/ (+ (* -1/4 (/ (pow im 4) (pow re 2))) (pow im 2)) re)
3.0ms
im
@0
(sqrt (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow re 2))) (pow im 2)) re)))
2.0ms
re
@0
(sqrt (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow re 2))) (pow im 2)) re)))
2.0ms
re
@-inf
(sqrt (* (+ (* 1/2 (* (pow im 2) (/ 2 (pow re 2)))) 0) (neg re)))

rewrite172.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1030×log1p-expm1-u
596×expm1-log1p-u
167×pow1
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030321
1400295
25479295
Stop Event
1×node limit
Counts
8 → 235
Calls
Call 1
Inputs
(/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))
(/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) re) (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)))) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re))) (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) (cbrt.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re))) (sqrt.f64 (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re))))
(*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 re (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) re) re)
(/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
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(*.f64 (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) (sqrt.f64 re))
(*.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 re) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
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(pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
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(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) re) re)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(log.f64 (exp.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) re))
(+.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) (*.f64 re #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))
(*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify213.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
766×times-frac
381×associate-*r*
349×associate-*l*
289×*-commutative
279×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064217600
1141217142
2446516866
Stop Event
1×node limit
Counts
352 → 413
Calls
Call 1
Inputs
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))
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(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))
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(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))
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(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
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(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) re) re)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(log.f64 (exp.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) re))
(+.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) (*.f64 re #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))
(*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))
(fma.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (fma.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))))))))
(fma.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))))))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (+.f64 (*.f64 (fma.f64 #s(literal -1/1024 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))
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(expm1.f64 (log1p.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) re) re)
(*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) re) re)
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal -2 binary64)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal -2 binary64)))

eval221.0ms (2.6%)

Compiler

Compiled 10658 to 8544 computations (19.8% saved)

prune90.0ms (1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New4058413
Fresh000
Picked202
Done2911
Total40917426
Accuracy
99.2%
Counts
426 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
✓53.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
16.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re))))
✓26.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
✓17.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
17.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 re))))
14.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) re) re) #s(literal 0 binary64)) (neg.f64 re))))
12.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) re) re)) #s(literal 0 binary64)) (neg.f64 re))))
✓54.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
17.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
✓6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
✓51.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
14.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) re) re) (pow.f64 im #s(literal 2 binary64))) re))))
16.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))))
16.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))))
Compiler

Compiled 604 to 464 computations (23.2% saved)

regimes63.0ms (0.7%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) re) re)) #s(literal 0 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) re) re) #s(literal 0 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) re) re) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 0 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Calls

7 calls:

17.0ms
re
9.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
8.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
8.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
8.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
AccuracySegmentsBranch
88.8%5re
79.0%1im
86.7%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
86.7%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
86.1%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
86.1%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
79.0%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes12.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) re) re)) #s(literal 0 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) re) re) #s(literal 0 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) re) re) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Calls

2 calls:

6.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
5.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
AccuracySegmentsBranch
86.7%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
86.7%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes33.0ms (0.4%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Calls

4 calls:

17.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
6.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
4.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
AccuracySegmentsBranch
85.4%3(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
85.4%3(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
85.4%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
85.4%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes12.0ms (0.1%)

Counts
7 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
Calls

2 calls:

7.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
60.0%2im
76.1%5re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
Calls

1 calls:

5.0ms
re
Results
AccuracySegmentsBranch
66.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Calls

2 calls:

2.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
54.0%2im
53.6%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Calls

2 calls:

0.0ms
im
0.0ms
re
Results
AccuracySegmentsBranch
51.9%1re
51.9%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3715082364173707e-129
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3715082364173707e-129
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3715082364173707e-129
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch135.0ms (1.6%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.375369153764413e+57
1.2324508964276858e+63
29.0ms
-9.154390782780599e-43
-2.7226637527000067e-45
29.0ms
-25696985.953342054
-3695.409650062788
45.0ms
-8.285777186108433e+65
-2.902989436066101e+45
Results
40.0ms350×0valid
28.0ms131×1valid
33.0ms95×2valid
Compiler

Compiled 937 to 758 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 27.0ms (43.3% of total)
ival-sqrt: 15.0ms (24.1% of total)
ival-add: 10.0ms (16% of total)
backward-pass: 9.0ms (14.4% of total)
const: 2.0ms (3.2% of total)

bsearch61.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.1319499029977173e+49
7.305420250460436e+56
34.0ms
-3.028415900987104e+218
-5.3186428161002344e+216
Results
18.0ms161×0valid
12.0ms51×1valid
16.0ms44×2valid
Compiler

Compiled 310 to 272 computations (12.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 11.0ms (37.3% of total)
ival-sqrt: 7.0ms (23.7% of total)
ival-add: 6.0ms (20.3% of total)
backward-pass: 5.0ms (16.9% of total)
const: 1.0ms (3.4% of total)

bsearch42.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
7.823453312731719e-219
1.092521256732768e-205
Results
11.0ms100×0valid
20.0ms52×2valid
2.0ms8×1valid
Compiler

Compiled 202 to 176 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (39% of total)
ival-sqrt: 4.0ms (22.3% of total)
ival-add: 3.0ms (16.7% of total)
backward-pass: 3.0ms (16.7% of total)
const: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
9×+-commutative
3×sub-neg
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097822
1128822
2134822
3139822
4142822
5143822
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal -520000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (if (<=.f64 re #s(literal -5649391561848013/6277101735386680763835789423207666416102355444464034512896 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5299999999999999855520952926337258430430554971569479745536 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -8799999999999999943565447697902103646547065701273573562643450907918869255462529719946934742427209278073433617557201718211665277957859445011141291318998495394380942823254601985431283486795855192288629477545073853857792 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (if (<=.f64 re #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 im #s(literal 740298315191607/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Outputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (hypot.f64 im (/.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (*.f64 (pow.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal -520000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (if (<=.f64 re #s(literal -5649391561848013/6277101735386680763835789423207666416102355444464034512896 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5299999999999999855520952926337258430430554971569479745536 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -270000000000000009569115433929078079667710628289132363776 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal -520000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (if (<=.f64 re #s(literal -5649391561848013/6277101735386680763835789423207666416102355444464034512896 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5299999999999999855520952926337258430430554971569479745536 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -8799999999999999943565447697902103646547065701273573562643450907918869255462529719946934742427209278073433617557201718211665277957859445011141291318998495394380942823254601985431283486795855192288629477545073853857792 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (if (<=.f64 re #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal -8799999999999999943565447697902103646547065701273573562643450907918869255462529719946934742427209278073433617557201718211665277957859445011141291318998495394380942823254601985431283486795855192288629477545073853857792 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (if (<=.f64 re #s(literal 23000000000000000197158005890685722198693044551680 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 im #s(literal 740298315191607/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 740298315191607/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))

soundness1.1s (12.6%)

Rules
1118×log1p-expm1-u
1118×expm1-log1p-u
1030×log1p-expm1-u
876×fma-define
766×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3333266
4531266
5734266
6941266
71149266
81242266
91252266
064217600
1141217142
2446516866
09834294986055
130074294984656
030321
1400295
25479295
070722787
1199621895
2680821867
020177
1296177
23462177
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 1898 to 1387 computations (26.9% saved)

preprocess144.0ms (1.7%)

Remove

(abs im)

Compiler

Compiled 758 to 516 computations (31.9% saved)

end0.0ms (0%)

Profiling

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