math.sqrt on complex, imaginary part, im greater than 0 branch

Time bar (total: 11.6s)

analyze193.0ms (1.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
62.5%31.2%18.7%50%0%0%0%5
68.8%34.3%15.6%50%0%0%0%6
68.8%34.3%15.6%50%0%0%0%7
71.9%35.9%14%50%0%0%0%8
71.9%35.9%14%50%0%0%0%9
73.4%36.7%13.3%50%0%0%0%10
73.4%36.7%13.3%50%0%0%0%11
74.2%37.1%12.9%50%0%0%0%12
Compiler

Compiled 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-sqrt: 87.0ms (63.7% of total)
ival-mult: 31.0ms (22.7% of total)
ival-sub: 5.0ms (3.7% of total)
ival-add: 5.0ms (3.7% of total)
ival->: 5.0ms (3.7% of total)
const: 2.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (17.7%)

Results
707.0ms6177×0valid
385.0ms1299×2valid
276.0ms580×1valid
94.0ms200×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 579.0ms (50.9% of total)
ival-sqrt: 282.0ms (24.8% of total)
ival-sub: 79.0ms (7% of total)
ival-add: 66.0ms (5.8% of total)
backward-pass: 61.0ms (5.4% of total)
ival->: 52.0ms (4.6% of total)
const: 18.0ms (1.6% of total)
Bogosity

preprocess206.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
334×fma-define
301×fma-neg
68×distribute-rgt-in
56×distribute-lft-neg-in
56×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042274
194266
2180266
3341266
4562266
5723266
6917266
71224266
81452266
91479266
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 (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 im im))) 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 (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) (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 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re 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))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #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 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #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 (hypot.f64 re im) im))))
Symmetry

(abs im)

explain215.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
370-0-(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
320-1(9.053546176144125e+112 6.096661302990709e-103)(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-#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 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 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
85.0ms374×0valid
31.0ms84×2valid
12.0ms50×1valid
2.0ms4×3valid
Compiler

Compiled 173 to 38 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-sub: 47.0ms (51.6% of total)
ival-mult: 21.0ms (23.1% of total)
ival-sqrt: 13.0ms (14.3% of total)
backward-pass: 5.0ms (5.5% of total)
ival-add: 4.0ms (4.4% of total)
const: 1.0ms (1.1% of total)

eval6.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
▶36.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize203.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (hypot.f64 re im) re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓cost-diff320
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
✓cost-diff320
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓accuracy88.5%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓accuracy86.7%
(-.f64 (hypot.f64 re im) re)
✓accuracy100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
✓accuracy88.5%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓accuracy86.7%
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓accuracy51.0%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Rules
203×fma-define
141×fma-neg
39×distribute-rgt-in
39×unsub-neg
38×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023339
132339
245339
367339
494339
5123339
6194339
7297339
8423339
9502339
10619339
11691339
12713339
13751339
14800339
15857339
16892339
17902339
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))))
#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 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
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 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
Results
43.0ms187×0valid
26.0ms42×2valid
10.0ms25×1valid
2.0ms2×3valid
Compiler

Compiled 115 to 18 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 15.0ms (31.1% of total)
ival-sqrt: 15.0ms (31.1% of total)
ival-hypot: 7.0ms (14.5% of total)
ival-sub: 4.0ms (8.3% of total)
backward-pass: 4.0ms (8.3% of total)
ival-add: 2.0ms (4.1% of total)
const: 1.0ms (2.1% of total)

series146.0ms (1.3%)

Counts
10 → 240
Calls
Call 1
Inputs
#<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 (*.f64 re re) (*.f64 im im))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.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 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 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 1 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 1 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 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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 binary64) (*.f64 re (+.f64 #s(literal 1 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 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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 re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 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 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 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<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 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<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 1/16 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 (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 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 #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 (*.f64 #s(literal -1 binary64) re))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
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#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.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 -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 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 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 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 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.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 -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 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 #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 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 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 re) (/.f64 (*.f64 (sqrt.f64 #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 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/4 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))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/4 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 (*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/16 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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<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 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<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 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 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 1/8 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))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/4 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal 2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (*.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))) #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 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 -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64))))) re)>
#<alt (*.f64 #s(literal -4 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 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)))))))>
#<alt (*.f64 #s(literal -1 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))))))))>
#<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 (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 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/64 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 2 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 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 re im)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.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 -2 binary64) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) re) (*.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))) im)))))>
Calls

60 calls:

TimeVariablePointExpression
64.0ms
im
@-inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms
im
@0
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms
im
@inf
(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))
2.0ms
re
@-inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms
re
@inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))

rewrite292.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1076×log1p-expm1-u
1076×expm1-log1p-u
538×fma-define
223×fma-neg
184×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023277
1306272
23132272
Stop Event
1×node limit
Counts
10 → 363
Calls
Call 1
Inputs
(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 (*.f64 re re) (*.f64 im im))
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.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 (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 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 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.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 (+.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 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #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 (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.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 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.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 (+.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 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #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 (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.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 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))

simplify438.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
797×fma-define
766×associate-*r*
683×associate-*l*
429×distribute-rgt-in
427×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094534868
1269133309
Stop Event
1×node limit
Counts
603 → 590
Calls
Call 1
Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(*.f64 re (+.f64 #s(literal 1 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 1 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 1 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 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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 binary64) (*.f64 re (+.f64 #s(literal 1 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 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 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 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 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 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)))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.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))))))))
(*.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)))))))))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (*.f64 re (-.f64 (*.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)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
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(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.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 (+.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 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #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 (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.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 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.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 (+.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 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #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 (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.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 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.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 (pow.f64 re #s(literal 2 binary64)) (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 (pow.f64 re #s(literal 2 binary64)) (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)) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
re
(*.f64 re (+.f64 #s(literal 1 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 1 binary64)))
(*.f64 re (+.f64 #s(literal 1 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 1 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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 re (+.f64 #s(literal 1 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 1 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 (fma.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) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) re)
(neg.f64 re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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 (neg.f64 re) (+.f64 #s(literal 1 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 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 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 (neg.f64 re) (+.f64 #s(literal 1 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 (neg.f64 (+.f64 (fma.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) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) re)
(+.f64 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 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)) re)
(+.f64 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)))))
(+.f64 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)) re)
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.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))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
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(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(/.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 (+.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 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 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 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))

eval302.0ms (2.6%)

Compiler

Compiled 14841 to 3179 computations (78.6% saved)

prune123.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New57515590
Fresh000
Picked202
Done000
Total57715592
Accuracy
99.7%
Counts
592 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
20.4%
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/32 binary64))))))
28.5%
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
28.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
74.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
▶13.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
51.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
25.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
52.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
▶50.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
▶4.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
52.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
▶69.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
48.3%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
▶75.0%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
Compiler

Compiled 418 to 320 computations (23.4% saved)

localize293.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff6528
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff6528
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓cost-diff0
(pow.f64 im #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓cost-diff0
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓cost-diff128
(-.f64 re re)
✓cost-diff256
(*.f64 #s(literal 2 binary64) (-.f64 re re))
✓cost-diff256
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
✓cost-diff0
(*.f64 im #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓cost-diff0
(hypot.f64 im re)
✓cost-diff0
(-.f64 (hypot.f64 im re) re)
✓cost-diff0
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))
✓accuracy95.7%
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
✓accuracy87.4%
(log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
✓accuracy86.7%
(-.f64 (hypot.f64 re im) re)
✓accuracy100.0%
(pow.f64 im #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓accuracy93.0%
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓accuracy79.1%
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓accuracy100.0%
(-.f64 re re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 re re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
✓accuracy100.0%
(*.f64 im #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓accuracy100.0%
(hypot.f64 im re)
✓accuracy100.0%
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓accuracy88.5%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓accuracy86.7%
(-.f64 (hypot.f64 im re) re)
Rules
471×fma-define
219×fma-neg
115×associate-*r*
94×distribute-lft-in
85×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032486
157482
287482
3125482
4167482
5208482
6312482
7475482
8666482
9784482
10994482
111179482
121379482
131589482
141998482
152030482
162044482
172072482
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 2 binary64)
(-.f64 re re)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
#s(literal 2 binary64)
Outputs
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 re re)
#s(literal 0 binary64)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (-.f64 re (hypot.f64 im re)) #s(literal -2 binary64))))
#s(literal 1/2 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (-.f64 re (hypot.f64 im re)) #s(literal -2 binary64)))
(*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (-.f64 re (hypot.f64 im re)) #s(literal -2 binary64))))
(log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(log.f64 (*.f64 (-.f64 re (hypot.f64 im re)) #s(literal -2 binary64)))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))
(*.f64 (-.f64 re (hypot.f64 im re)) #s(literal -2 binary64))
(-.f64 (hypot.f64 re im) re)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 re im)
(hypot.f64 im re)
re
im
#s(literal 2 binary64)
Results
41.0ms32×2valid
38.0ms118×0invalid
27.0ms37×1valid
24.0ms69×0valid
Compiler

Compiled 157 to 27 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 21.0ms (25.1% of total)
ival-hypot: 14.0ms (16.7% of total)
ival-log: 12.0ms (14.3% of total)
ival-sqrt: 10.0ms (11.9% of total)
ival-sub: 8.0ms (9.6% of total)
backward-pass: 8.0ms (9.6% of total)
ival-exp: 4.0ms (4.8% of total)
ival-pow: 4.0ms (4.8% of total)
ival-div: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)

series100.0ms (0.9%)

Counts
21 → 372
Calls
Call 1
Inputs
#<alt (-.f64 (hypot.f64 im re) re)>
#<alt (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))>
#<alt (hypot.f64 im re)>
#<alt (sqrt.f64 (*.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 im #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 re re))>
#<alt (-.f64 re re)>
#<alt (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))>
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.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 (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))))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1/16 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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<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 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<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 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 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 1/8 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))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/4 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 re (-.f64 (*.f64 #s(literal 1/12 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 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/80 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal -720 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 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))))>
#<alt (+.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (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 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 45/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (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 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/64 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/192 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 3/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 re #s(literal 3 binary64)))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) im))) im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 re #s(literal 3 binary64)))) im)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) im)) (*.f64 #s(literal -1/2 binary64) re)) im)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))))>
Calls

102 calls:

TimeVariablePointExpression
30.0ms
re
@-inf
(* (log (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2)
3.0ms
re
@0
(sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 1/2))
2.0ms
im
@0
(exp (* (log (* (- (sqrt (+ (* re re) (* im im))) re) 2)) 1/2))
2.0ms
im
@inf
(log (* (- (sqrt (+ (* re re) (* im im))) re) 2))
2.0ms
im
@0
(* 1/2 (sqrt (* im 2)))

rewrite234.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
687×log1p-expm1-u
598×prod-diff
206×expm1-log1p-u
203×add-exp-log
202×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032418
1538400
26039400
Stop Event
1×node limit
Counts
21 → 427
Calls
Call 1
Inputs
(-.f64 (hypot.f64 im re) re)
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(hypot.f64 im re)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 im #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
(-.f64 re re)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 im #s(literal 2 binary64))
(-.f64 (hypot.f64 re im) re)
(log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 (hypot.f64 im re) (neg.f64 re))
(+.f64 (hypot.f64 im re) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 im re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 im re) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 im re))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))
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(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 im re)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 im re)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (hypot.f64 im re) re))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify372.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
694×distribute-lft-in
613×*-commutative
336×+-commutative
226×fma-define
201×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0174036644
1484135440
Stop Event
1×node limit
Counts
799 → 969
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #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 (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))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (/.f64 re im))))
(*.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (*.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 (+.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)))))) (/.f64 re im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.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)) re) im)))))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (*.f64 re (-.f64 (*.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)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.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 (+.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 (+.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 #s(literal -1 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 #s(literal -1 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 #s(literal -1 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 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 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 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 im re) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 im re) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 im re) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 im re) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 im re)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (hypot.f64 im re)) (neg.f64 re))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 (-.f64 (hypot.f64 im re) re))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 (-.f64 (hypot.f64 im re) re))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 im re)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 im re)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (hypot.f64 im re) re))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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 (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 (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))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (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)))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64)))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) re)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 im re)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(+.f64 (*.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 im re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))
(+.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (hypot.f64 im re) re))) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re))))
(+.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 2 binary64))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))

eval129.0ms (1.1%)

Compiler

Compiled 21593 to 4482 computations (79.2% saved)

prune135.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New95415969
Fresh9110
Picked415
Done000
Total96717984
Accuracy
99.9%
Counts
984 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
73.5%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
▶28.9%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
▶74.5%
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
28.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)))
28.8%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
28.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
51.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
17.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
26.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) (log.f64 re)) #s(literal 1/2 binary64))))
▶4.2%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
✓75.0%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
52.9%
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
▶52.2%
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
50.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
25.0%
(sqrt.f64 (neg.f64 re))
▶48.6%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
Compiler

Compiled 334 to 257 computations (23.1% saved)

localize216.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (hypot.f64 im re) re)
cost-diff0
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓cost-diff0
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 re im))
✓cost-diff256
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
✓cost-diff256
(*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
✓cost-diff256
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 re)
✓cost-diff0
(*.f64 im #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
cost-diff0
(hypot.f64 im re)
cost-diff0
(-.f64 (hypot.f64 im re) re)
✓cost-diff0
(sqrt.f64 (-.f64 (hypot.f64 im re) re))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy100.0%
(hypot.f64 im re)
accuracy100.0%
(-.f64 (hypot.f64 im re) re)
accuracy100.0%
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓accuracy89.8%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 re im))
✓accuracy100.0%
(*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
✓accuracy100.0%
(*.f64 im #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 re)
✓accuracy99.9%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
accuracy100.0%
(-.f64 (hypot.f64 im re) re)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (-.f64 (hypot.f64 im re) re))
✓accuracy99.8%
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
Rules
986×fma-define
480×unsub-neg
478×fma-neg
369×associate-/r*
356×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029451
150451
283451
3166451
4422406
5963406
62137406
74454406
85856406
97493406
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (hypot.f64 im re) re))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
im
(-.f64 #s(literal 1 binary64) (/.f64 re im))
#s(literal 1 binary64)
(/.f64 re im)
re
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
Outputs
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (hypot.f64 im re) re))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 im (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 re im) #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(*.f64 im (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 re im) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(-.f64 im re)
im
(-.f64 #s(literal 1 binary64) (/.f64 re im))
#s(literal 1 binary64)
(/.f64 re im)
re
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
Results
48.0ms189×0invalid
19.0ms67×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 9.0ms (23.7% of total)
ival-pow: 8.0ms (21.1% of total)
ival-sqrt: 7.0ms (18.5% of total)
ival-hypot: 5.0ms (13.2% of total)
ival-div: 3.0ms (7.9% of total)
ival-sub: 3.0ms (7.9% of total)
ival-cbrt: 2.0ms (5.3% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series64.0ms (0.6%)

Counts
13 → 232
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (-.f64 (hypot.f64 im re) re))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))>
#<alt (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 re im))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))>
Outputs
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 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 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 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 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 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 1/2 binary64))))) (+.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 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.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 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.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 1/2 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.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 1/2 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 1/2 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 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 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 1/2 binary64)))) (*.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 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 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 1/2 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 1/2 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 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))>
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#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/8 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/8 binary64))))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))>
#<alt (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.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)))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.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)))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.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 9 binary64)))))))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.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)))) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.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 9 binary64))))))))) re)>
#<alt (*.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 im #s(literal 4 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 im #s(literal 4 binary64))))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
im
@0
(sqrt (- (sqrt (+ (* im im) (* re re))) re))
5.0ms
re
@-inf
(sqrt (- (sqrt (+ (* im im) (* re re))) re))
4.0ms
im
@0
(cbrt (pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 3/2))
2.0ms
im
@0
(pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 3/2)
2.0ms
re
@inf
(pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 3/2)

rewrite208.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
811×prod-diff
697×log1p-expm1-u
181×expm1-log1p-u
176×add-cube-cbrt
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029290
1418290
25366290
Stop Event
1×node limit
Counts
13 → 302
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 (hypot.f64 im re) re))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (+.f64 re (hypot.f64 im re))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) re)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) re)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re)))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
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(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(exp.f64 (log1p.f64 (/.f64 re (neg.f64 im))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 re (neg.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (hypot.f64 im re) re) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))

simplify325.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
597×*-commutative
550×distribute-rgt-in
549×distribute-lft-in
362×times-frac
236×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0139828687
1395226745
Stop Event
1×node limit
Counts
534 → 660
Calls
Call 1
Inputs
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 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 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 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 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 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 1/2 binary64))))) (+.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 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 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 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 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 1/2 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 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 1/2 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 1/2 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 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.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 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 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 1/2 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 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
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(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (hypot.f64 im re) re) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 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 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/256 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re))))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 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 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 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 -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 re #s(literal 7 binary64)))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re)))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 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 -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/256 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 5 binary64))))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 re #s(literal 7 binary64)))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/256 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(*.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 1/2 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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64))

eval338.0ms (2.9%)

Compiler

Compiled 26208 to 4415 computations (83.2% saved)

prune340.0ms (2.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New109381101
Fresh3811
Picked145
Done011
Total1097211118
Accuracy
99.9%
Counts
1118 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
▶73.5%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
28.7%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓28.9%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
27.1%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64))))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
28.9%
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
▶28.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
✓74.5%
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
▶50.8%
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
▶51.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
17.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
26.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) (log.f64 re)) #s(literal 1/2 binary64))))
✓75.0%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
52.9%
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
✓52.2%
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
50.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
25.0%
(sqrt.f64 (neg.f64 re))
✓48.6%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
17.2%
(cbrt.f64 (pow.f64 (neg.f64 re) #s(literal 3/2 binary64)))
▶4.2%
#s(literal 0 binary64)
Compiler

Compiled 371 to 283 computations (23.7% saved)

localize631.0ms (5.4%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 re im)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
✓cost-diff0
(/.f64 re im)
✓cost-diff0
(-.f64 (/.f64 re im) #s(literal 2 binary64))
✓cost-diff0
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) im)
cost-diff0
(sqrt.f64 re)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
cost-diff0
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓cost-diff0
(cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy90.1%
(sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
✓accuracy90.1%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
accuracy100.0%
(sqrt.f64 re)
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
✓accuracy99.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
✓accuracy98.8%
(cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
accuracy88.5%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
accuracy86.7%
(-.f64 (hypot.f64 im re) re)
Rules
1159×fma-neg
858×fma-define
235×times-frac
225×distribute-lft-neg-in
193×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036672
172660
2108660
3174660
4256660
5366660
6568660
71039660
82371660
93549660
104167660
114675660
124929660
135002660
145021660
155021660
165162660
175162660
185202660
195483660
205491660
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
im
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
re
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
#s(literal 1/2 binary64)
(/.f64 re im)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
Outputs
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 3 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(sqrt.f64 (fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(*.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(+.f64 (/.f64 re im) #s(literal -2 binary64))
(/.f64 re im)
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)) im)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64)) im)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 im (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)) im))
(sqrt.f64 (fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64)) im))
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)) im)
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64)) im)
im
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)))
(*.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64)))
re
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64))
(fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(/.f64 (*.f64 #s(literal 1/2 binary64) re) im)
(/.f64 (*.f64 re #s(literal 1/2 binary64)) im)
(*.f64 re (/.f64 #s(literal 1/2 binary64) im))
#s(literal 1/2 binary64)
(/.f64 re im)
#s(literal 1 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
Results
48.0ms2×3valid
40.0ms118×0invalid
30.0ms30×2valid
28.0ms37×1valid
23.0ms69×0valid
Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 19.0ms (25.2% of total)
ival-hypot: 14.0ms (18.6% of total)
ival-sqrt: 12.0ms (15.9% of total)
ival-pow: 9.0ms (11.9% of total)
backward-pass: 6.0ms (8% of total)
ival-sub: 5.0ms (6.6% of total)
ival-div: 4.0ms (5.3% of total)
ival-add: 3.0ms (4% of total)
ival-cbrt: 2.0ms (2.7% of total)
const: 1.0ms (1.3% of total)

series83.0ms (0.7%)

Counts
16 → 281
Calls
Call 1
Inputs
#<alt (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))>
#<alt (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))>
#<alt (*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (-.f64 (/.f64 re im) #s(literal 2 binary64))>
#<alt (/.f64 re im)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 re im))>
Outputs
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 im (*.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) re))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (-.f64 im (*.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (-.f64 im (*.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 im re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 im (+.f64 im (*.f64 #s(literal -1 binary64) re)))) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 im (+.f64 im (*.f64 #s(literal -1 binary64) re)))) im)>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) (*.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 #s(literal -1 binary64) (*.f64 im (-.f64 (/.f64 re im) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)) #s(literal 1 binary64))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal -1 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 im re))) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 im re))) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt #s(literal -2 binary64)>
#<alt (/.f64 re im)>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (/.f64 re im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal 1 binary64) im))))>
#<alt (/.f64 re im)>
#<alt (/.f64 (+.f64 re (*.f64 #s(literal -2 binary64) im)) im)>
#<alt (/.f64 (+.f64 re (*.f64 #s(literal -2 binary64) im)) im)>
#<alt (/.f64 (+.f64 re (*.f64 #s(literal -2 binary64) im)) im)>
#<alt #s(literal -2 binary64)>
#<alt #s(literal -2 binary64)>
Calls

90 calls:

TimeVariablePointExpression
10.0ms
im
@-inf
(sqrt (+ im (* re (- (* 1/2 (/ re im)) 1))))
6.0ms
re
@inf
(cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 1/2)))
4.0ms
re
@-inf
(cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 1/2)))
3.0ms
re
@inf
(sqrt (+ im (* re (- (* 1/2 (/ re im)) 1))))
3.0ms
im
@0
(cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 1/2)))

rewrite280.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
476×log1p-expm1-u
257×expm1-log1p-u
252×add-exp-log
251×add-cube-cbrt
250×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035486
1585472
27887472
Stop Event
1×node limit
Counts
16 → 414
Calls
Call 1
Inputs
(cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
(+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) im)
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 re im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 re) (sqrt.f64 im)))
(pow.f64 (/.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 re im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 im re) #s(literal -1 binary64))
(neg.f64 (/.f64 re (neg.f64 im)))
(neg.f64 (/.f64 (neg.f64 re) im))
(sqrt.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re im))))
(cbrt.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 re im)))
(log1p.f64 (expm1.f64 (/.f64 re im)))
(exp.f64 (log.f64 (/.f64 re im)))
(exp.f64 (*.f64 (log.f64 (/.f64 re im)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 im (*.f64 re #s(literal 1/2 binary64))))
(/.f64 (*.f64 re #s(literal 1/2 binary64)) im)
(/.f64 (neg.f64 (*.f64 re #s(literal 1/2 binary64))) (neg.f64 im))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 re)) (neg.f64 im))
(/.f64 (*.f64 (neg.f64 re) #s(literal 1/2 binary64)) (neg.f64 im))
(/.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)
(/.f64 (/.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) im)
(/.f64 (/.f64 (*.f64 re #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im))
(/.f64 (/.f64 (*.f64 re #s(literal 1/2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 re im)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 1 binary64)))

simplify736.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
673×distribute-lft-in
610×*-commutative
284×times-frac
265×+-commutative
212×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0175839527
1478437811
Stop Event
1×node limit
Counts
695 → 932
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -775/82944 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 6 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 17 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 re #s(literal 3 binary64))))))))))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) im)) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 re #s(literal 3 binary64)))))))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))))) im)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) im)) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 35/1296 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 17 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (*.f64 #s(literal 1/1152 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/144 binary64) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (*.f64 #s(literal -1/3456 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1/82944 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/4320 binary64) (+.f64 (*.f64 #s(literal -720 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 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64))))))))) (pow.f64 re #s(literal 6 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (*.f64 #s(literal 1/1152 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/144 binary64) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
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(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 re im)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 4 binary64)))))))))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -775/82944 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 6 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -775/82944 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 6 binary64))))) (*.f64 #s(literal 19/1152 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (pow.f64 re #s(literal 4 binary64))))))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 im #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 im #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 0 binary64))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 17 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 re #s(literal 3 binary64))))))))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 17 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/72 binary64) (*.f64 re (*.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal -1/1296 binary64) (pow.f64 re #s(literal 3 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)))))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 17 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/72 binary64) (*.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/1296 binary64) (pow.f64 re #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/36 binary64))))))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))) im)) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (neg.f64 im) #s(literal 1/6 binary64))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/72 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 0 binary64)))) im))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 re (neg.f64 im))))
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(pow.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (/.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal -2 binary64) (/.f64 re im)))
(log.f64 (exp.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -2 binary64) (/.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(exp.f64 (log.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(fma.f64 re (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(fma.f64 #s(literal 1 binary64) (/.f64 re im) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 re im)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(fma.f64 (sqrt.f64 (/.f64 re im)) (sqrt.f64 (/.f64 re im)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 re im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 re im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 re im)))
(*.f64 re (/.f64 #s(literal 1 binary64) im))
(/.f64 re im)
(*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) im))
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(/.f64 re im)
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(/.f64 re im)
(*.f64 (cbrt.f64 (/.f64 re im)) (pow.f64 (cbrt.f64 (/.f64 re im)) #s(literal 2 binary64)))
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(/.f64 re im)
(*.f64 (sqrt.f64 (/.f64 re im)) (sqrt.f64 (/.f64 re im)))
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(/.f64 re im)
(*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 re) im))
(/.f64 re im)
(*.f64 (/.f64 (sqrt.f64 re) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sqrt.f64 re) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (cbrt.f64 im)))
(/.f64 (/.f64 re (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 re (sqrt.f64 im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) re) (sqrt.f64 im))
(/.f64 (/.f64 re (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 re) im))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 re im)))
(*.f64 (cbrt.f64 (/.f64 re im)) (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 re) (sqrt.f64 im)))
(pow.f64 (/.f64 re im) #s(literal 1 binary64))
(/.f64 re im)
(pow.f64 (cbrt.f64 (/.f64 re im)) #s(literal 3 binary64))
(/.f64 re im)
(pow.f64 (sqrt.f64 (/.f64 re im)) #s(literal 2 binary64))
(/.f64 re im)
(pow.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 re im)
(pow.f64 (/.f64 im re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 im re))
(neg.f64 (/.f64 re (neg.f64 im)))
(/.f64 re im)
(neg.f64 (/.f64 (neg.f64 re) im))
(/.f64 re im)
(sqrt.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 re im))
(log.f64 (exp.f64 (/.f64 re im)))
(/.f64 re im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re im))))
(/.f64 re im)
(cbrt.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)))
(/.f64 re im)
(expm1.f64 (log1p.f64 (/.f64 re im)))
(log1p.f64 (expm1.f64 (/.f64 re im)))
(/.f64 re im)
(exp.f64 (log.f64 (/.f64 re im)))
(/.f64 re im)
(exp.f64 (*.f64 (log.f64 (/.f64 re im)) #s(literal 1 binary64)))
(/.f64 re im)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 im re))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(/.f64 #s(literal 1 binary64) (/.f64 im (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (/.f64 re im))
(/.f64 (*.f64 re #s(literal 1/2 binary64)) im)
(*.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1/2 binary64) re))
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(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) re) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) re))
(log.f64 (pow.f64 (exp.f64 (/.f64 re im)) #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) im) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 im re))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) re)

eval353.0ms (3%)

Compiler

Compiled 32707 to 6263 computations (80.9% saved)

prune247.0ms (2.1%)

Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New130061306
Fresh2911
Picked145
Done055
Total1303241327
Accuracy
99.9%
Counts
1327 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
26.1%
(pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
28.8%
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) #s(literal 2 binary64))
✓73.5%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
28.7%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓28.9%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
28.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
28.9%
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
27.1%
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))) im)
28.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
✓74.5%
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
✓50.8%
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
27.0%
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) im)
✓51.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
17.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
26.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) (log.f64 re)) #s(literal 1/2 binary64))))
✓75.0%
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
52.9%
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
✓52.2%
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
50.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
25.0%
(sqrt.f64 (neg.f64 re))
✓48.6%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
17.2%
(cbrt.f64 (pow.f64 (neg.f64 re) #s(literal 3/2 binary64)))
✓4.2%
#s(literal 0 binary64)
Compiler

Compiled 712 to 388 computations (45.5% saved)

regimes139.0ms (1.2%)

Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (neg.f64 re) #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64))))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.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 im im))) re))))
(*.f64 (sqrt.f64 (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) im)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) (log.f64 re)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im))))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (log.f64 im)))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/32 binary64))))))
Outputs
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
Calls

7 calls:

46.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
27.0ms
re
14.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
13.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
13.0ms
im
Results
AccuracySegmentsBranch
87.3%2re
75.0%1im
87.5%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))))
87.5%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
88.7%2(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
88.7%2(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
75.0%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes16.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (neg.f64 re) #s(literal 3/2 binary64)))
Outputs
(sqrt.f64 (neg.f64 re))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
Calls

2 calls:

8.0ms
re
6.0ms
im
Results
AccuracySegmentsBranch
62.9%2im
77.8%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
Calls

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
77.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (*.f64 im #s(literal 1/2 binary64))))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
Calls

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
77.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
Calls

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
77.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)
Calls

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
77.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.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 -4 binary64))))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
Calls

1 calls:

18.0ms
re
Results
AccuracySegmentsBranch
63.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
25.0%1im
27.8%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
4.2%1im
4.2%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
3.3362601043559686e-268
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.2078846820273412e+75
3.681536303925559e+75
20.0ms
-0.0126943864572746
-1.5617698442333383e-14
Results
16.0ms194×0valid
11.0ms34×2valid
2.0ms11×1valid
0.0ms1×3valid
Compiler

Compiled 387 to 286 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (53.4% of total)
ival-sqrt: 5.0ms (24.3% of total)
ival-add: 2.0ms (9.7% of total)
ival-sub: 2.0ms (9.7% of total)
backward-pass: 1.0ms (4.9% of total)
const: 1.0ms (4.9% of total)

bsearch101.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.2078846820273412e+75
3.681536303925559e+75
79.0ms
-6.64817194418897e+49
-3.911762613747943e+38
Results
17.0ms198×0valid
9.0ms29×2valid
2.0ms12×1valid
0.0ms1×3valid
Compiler

Compiled 327 to 256 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (49.8% of total)
ival-sqrt: 5.0ms (27.7% of total)
ival-add: 2.0ms (11.1% of total)
ival-sub: 2.0ms (11.1% of total)
backward-pass: 1.0ms (5.5% of total)
const: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.2078846820273412e+75
3.681536303925559e+75
20.0ms
-6.64817194418897e+49
-3.911762613747943e+38
Results
19.0ms203×0valid
8.0ms30×2valid
1.0ms5×1valid
1.0ms2×3valid
Compiler

Compiled 267 to 211 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.6% of total)
ival-sqrt: 5.0ms (27.9% of total)
ival-sub: 2.0ms (11.2% of total)
ival-add: 2.0ms (11.2% of total)
backward-pass: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.2078846820273412e+75
3.681536303925559e+75
19.0ms
-6.64817194418897e+49
-3.911762613747943e+38
Results
16.0ms191×0valid
11.0ms41×2valid
1.0ms6×1valid
1.0ms2×3valid
Compiler

Compiled 262 to 206 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (46.1% of total)
ival-sqrt: 5.0ms (25.6% of total)
ival-add: 2.0ms (10.3% of total)
ival-sub: 2.0ms (10.3% of total)
backward-pass: 1.0ms (5.1% of total)
const: 1.0ms (5.1% of total)

bsearch57.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.2078846820273412e+75
3.681536303925559e+75
36.0ms
-6.64817194418897e+49
-3.911762613747943e+38
Results
17.0ms202×0valid
9.0ms31×2valid
1.0ms6×1valid
0.0ms1×3valid
Compiler

Compiled 262 to 206 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.5% of total)
ival-sqrt: 5.0ms (26.4% of total)
ival-add: 2.0ms (10.5% of total)
ival-sub: 2.0ms (10.5% of total)
backward-pass: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-0.0126943864572746
-1.5617698442333383e-14
Results
14.0ms160×0valid
Compiler

Compiled 152 to 126 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.5% of total)
ival-sqrt: 2.0ms (22.2% of total)
ival-sub: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-1.9304570495804417e-300
1.2386272507522585e-301
Results
15.0ms160×0valid
Compiler

Compiled 122 to 106 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.6% of total)
ival-sqrt: 4.0ms (38.1% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
11×+-commutative
9×sub-neg
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089632
1115632
2129632
3136632
4140632
5141632
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -3314649325744685/288230376151711744 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1599999999999999922637100988844675166163137452848213682675309116218400571392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -2450000000000000147987134667740024366747919319040 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1400000000000000057849498072972706047108533735395515294388004365971790757888 binary64)) (sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -6500000000000000335704003802124458864989437952 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -165999999999999991667292803672003681437351936 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1250000000000000058825168119881836986444950175983328845534838691862281191424 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -135999999999999995427224085381919811829760 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)))
(if (<=.f64 re #s(literal -7930553376671967/19342813113834066795298816 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(if (<=.f64 re #s(literal -3314649325744685/288230376151711744 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1599999999999999922637100988844675166163137452848213682675309116218400571392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -3314649325744685/288230376151711744 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1599999999999999922637100988844675166163137452848213682675309116218400571392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))
(if (<=.f64 re #s(literal -2450000000000000147987134667740024366747919319040 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1400000000000000057849498072972706047108533735395515294388004365971790757888 binary64)) (sqrt.f64 (*.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -2450000000000000147987134667740024366747919319040 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1400000000000000057849498072972706047108533735395515294388004365971790757888 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))
(if (<=.f64 re #s(literal -6500000000000000335704003802124458864989437952 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 im #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -6500000000000000335704003802124458864989437952 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))
(if (<=.f64 re #s(literal -165999999999999991667292803672003681437351936 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1250000000000000058825168119881836986444950175983328845534838691862281191424 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -165999999999999991667292803672003681437351936 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 1250000000000000058825168119881836986444950175983328845534838691862281191424 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -135999999999999995427224085381919811829760 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) im)))
(if (<=.f64 re #s(literal -135999999999999995427224085381919811829760 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3299999999999999978535258967999119334598838307068101874769644830409210462208 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -7930553376671967/19342813113834066795298816 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.7s (14.5%)

Rules
1076×log1p-expm1-u
1076×expm1-log1p-u
811×prod-diff
797×fma-define
766×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094534868
1269133309
023277
1306272
23132272
0175839527
1478437811
035486
1585472
27887472
042274
194266
2180266
3341266
4562266
5723266
6917266
71224266
81452266
91479266
029290
1418290
25366290
0174036644
1484135440
032418
1538400
26039400
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 916 to 347 computations (62.1% saved)

preprocess57.0ms (0.5%)

Remove

(abs im)

Compiler

Compiled 450 to 220 computations (51.1% saved)

end0.0ms (0%)

Profiling

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