math.sqrt on complex, real part

Time bar (total: 9.3s)

analyze85.0ms (0.9%)

Memory
21.6MiB live, 176.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
68.8%68.7%31.2%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
71.9%71.8%28.1%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
73.4%73.4%26.5%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.8s (19.2%)

Memory
55.7MiB live, 2 116.0MiB allocated
Samples
792.0ms6 187×0valid
439.0ms801×2valid
188.0ms465×3valid
115.0ms803×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 413.0ms (38.7% of total)
ival-hypot: 408.0ms (38.2% of total)
ival-add: 116.0ms (10.9% of total)
ival-sqrt: 87.0ms (8.1% of total)
adjust: 32.0ms (3% of total)
ival-true: 6.0ms (0.6% of total)
...in/eval/compile.rkt:110:19: 4.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess112.0ms (1.2%)

Memory
-37.9MiB live, 82.1MiB allocated
Algorithm
1×egg-herbie
Rules
250×fmm-def
205×fma-define
61×distribute-rgt-in
43×sub-neg
43×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (hypot.f64 re im)))))
Symmetry

(abs im)

explain232.0ms (2.5%)

Memory
12.8MiB live, 363.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-2(5.429656689138273e-305 2.606592262562695e-158)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
260-1(-8.745556080077422e-77 7.375353702704373e-198)(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
250-0-(+.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))))
00-0-(*.f64 re re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1090
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow109
↳(*.f64 re re)overflow59
↳(*.f64 im im)overflow62
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))uflow-rescue250
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow16
↳(*.f64 im im)underflow69
↳(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))underflow10
↳(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))underflow35
↳(*.f64 re re)underflow65
↳(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)underflow35
+.f64(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation250
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue160
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow16
↳(*.f64 re re)underflow65
↳(*.f64 im im)underflow69
Confusion
Predicted +Predicted -
+1561
-099
Precision
1.0
Recall
0.9936305732484076
Confusion?
Predicted +Predicted MaybePredicted -
+15601
-0099
Precision?
1.0
Recall?
0.9936305732484076
Freqs
test
numberfreq
0100
1137
219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms392×0valid
15.0ms36×3valid
13.0ms42×2valid
7.0ms42×1valid
Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 15.0ms (34% of total)
ival-hypot: 14.0ms (31.7% of total)
ival-add: 6.0ms (13.6% of total)
ival-sqrt: 5.0ms (11.3% of total)
adjust: 3.0ms (6.8% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶82.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify9.0ms (0.1%)

Memory
13.9MiB live, 13.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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))))
✓cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Rules
6×*-commutative
6×fma-define
2×distribute-rgt-in
2×hypot-define
2×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023339
140339
248339
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
#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
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#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 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(+.f64 re (hypot.f64 re im))
(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

localize75.0ms (0.8%)

Memory
-22.6MiB live, 135.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓accuracy91.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓accuracy91.1%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓accuracy54.4%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
✓accuracy91.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓accuracy91.1%
(+.f64 re (hypot.f64 re im))
Samples
26.0ms196×0valid
12.0ms18×3valid
11.0ms21×2valid
5.0ms21×1valid
Compiler

Compiled 114 to 18 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 15.0ms (37.9% of total)
ival-hypot: 11.0ms (27.8% of total)
ival-add: 6.0ms (15.2% of total)
ival-sqrt: 5.0ms (12.6% of total)
adjust: 2.0ms (5.1% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory
-16.4MiB live, 69.5MiB allocated
Counts
9 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (+.f64 re (hypot.f64 re im))>
#<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 (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))>
#<alt (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)>
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/8 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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 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) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (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 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.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 -1 binary64) (/.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 (*.f64 #s(literal 4 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.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 #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 -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt 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)))))))))>
Calls

54 calls:

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

rewrite539.0ms (5.8%)

Memory
17.8MiB live, 329.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
764×log1p-expm1-u
764×expm1-log1p-u
721×fma-define
359×fmm-def
192×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023253
1338253
23739253
Stop Event
1×node limit
Counts
9 → 295
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(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))
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 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 (hypot.f64 re im) re))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (cbrt.f64 (*.f64 #s(literal 2 binary64) re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) re)
(-.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)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))

simplify488.0ms (5.2%)

Memory
6.5MiB live, 357.7MiB allocated
Algorithm
1×egg-herbie
Rules
789×fma-define
670×associate-*r*
559×associate-*l*
388×distribute-rgt-in
386×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081430033
1239128525
Stop Event
1×node limit
Counts
511 → 480
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 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 (hypot.f64 re im) re))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (cbrt.f64 (*.f64 #s(literal 2 binary64) re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) re)
(-.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)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
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eval159.0ms (1.7%)

Memory
6.8MiB live, 121.1MiB allocated
Compiler

Compiled 12 164 to 2 418 computations (80.1% saved)

prune71.0ms (0.8%)

Memory
13.2MiB live, 171.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47010480
Fresh000
Picked202
Done000
Total47210482
Accuracy
89.6%
Counts
482 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
▶27.9%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
▶53.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
52.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
7.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
▶55.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
▶82.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 216 to 168 computations (22.2% saved)

simplify190.0ms (2%)

Memory
12.1MiB live, 49.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 im)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 re im))
✓cost-diff256
(*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
✓cost-diff256
(sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓cost-diff0
(+.f64 im re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 im re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
✓cost-diff0
(sqrt.f64 re)
✓cost-diff128
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
✓cost-diff0
(hypot.f64 re im)
cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Rules
2 124×fma-define
964×cube-prod
634×times-frac
415×swap-sqr
408×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031414
171410
2113410
3155410
4184410
5263410
6646410
71900410
82877410
93779410
104678410
115255410
125759410
136380410
147065410
157404410
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
#s(literal 1 binary64)
(sqrt.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))
(*.f64 #s(literal 2 binary64) (+.f64 im re))
#s(literal 2 binary64)
(+.f64 im re)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
im
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
#s(literal 1/2 binary64)
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
#s(literal 1 binary64)
(sqrt.f64 re)
re
(*.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 im))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 im re))
(*.f64 #s(literal 2 binary64) (+.f64 re im))
#s(literal 2 binary64)
(+.f64 im re)
(+.f64 re im)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))
(*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re im))
im
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 re (/.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 re im))
(*.f64 re (/.f64 #s(literal 2 binary64) im))
(/.f64 re im)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
#s(literal 1/2 binary64)
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize113.0ms (1.2%)

Memory
4.4MiB live, 153.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
✓accuracy100.0%
(sqrt.f64 im)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓accuracy100.0%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))
✓accuracy93.4%
(*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
✓accuracy100.0%
(+.f64 im re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 im re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
✓accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
accuracy100.0%
(+.f64 re (hypot.f64 re im))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Samples
53.0ms134×0valid
22.0ms122×0invalid
Compiler

Compiled 130 to 27 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-hypot: 13.0ms (33.1% of total)
ival-mult: 12.0ms (30.6% of total)
ival-sqrt: 9.0ms (22.9% of total)
ival-add: 3.0ms (7.6% of total)
ival-div: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series163.0ms (1.7%)

Memory
13.5MiB live, 131.6MiB allocated
Counts
18 → 282
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (hypot.f64 re im)>
#<alt (*.f64 #s(literal 1 binary64) (sqrt.f64 re))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 im re))>
#<alt (+.f64 im re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))>
#<alt (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))>
Outputs
#<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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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 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 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 re im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 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 1/32 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 1/2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) (*.f64 #s(literal 1/2 binary64) re)) im)))))>
#<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 (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<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 -1/16 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 1/4 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 -1/16 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 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 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))))))))>
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#<alt (+.f64 (*.f64 re (+.f64 (*.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 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 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 5 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 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 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 re im)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 re im)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 re im)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 im re)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 im re)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 im re)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re)) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re)) im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re)) im)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
Calls

87 calls:

TimeVariablePointExpression
97.0ms
im
@0
(* (* 1/2 (sqrt im)) (sqrt 2))
4.0ms
im
@0
(sqrt im)
4.0ms
im
@inf
(* 1/2 (sqrt (* im (+ 2 (* 2 (/ re im))))))
3.0ms
im
@-inf
(* 1/2 (sqrt (* 2 (+ im re))))
3.0ms
im
@-inf
(* 1/2 (sqrt (* im (+ 2 (* 2 (/ re im))))))

rewrite273.0ms (2.9%)

Memory
-20.3MiB live, 216.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 040×log1p-expm1-u
221×associate-*r*
219×expm1-log1p-u
218×add-cube-cbrt
216×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031384
1510364
26701364
Stop Event
1×node limit
Counts
18 → 402
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
(hypot.f64 re im)
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))
(*.f64 #s(literal 2 binary64) (+.f64 im re))
(+.f64 im re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
(*.f64 #s(literal 2 binary64) (/.f64 re im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
(sqrt.f64 im)
(sqrt.f64 #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 re (hypot.f64 re im))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 (/.f64 re im) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))

simplify349.0ms (3.7%)

Memory
-1.9MiB live, 574.6MiB allocated
Algorithm
1×egg-herbie
Rules
654×distribute-rgt-in
653×distribute-lft-in
540×*-commutative
339×times-frac
241×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0154630927
1436329557
Stop Event
1×node limit
Counts
684 → 846
Calls
Call 1
Inputs
(*.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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))
(*.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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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 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 #s(literal 1/2 binary64) im)
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 re im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
re
(+.f64 re (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re)))))
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(*.f64 #s(literal 1/2 binary64) im)
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(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 im))
(*.f64 (cbrt.f64 im) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 im)))
(pow.f64 im #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 im))
(log.f64 (exp.f64 (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 im))))
(cbrt.f64 (pow.f64 im #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 im)))
(log1p.f64 (expm1.f64 (sqrt.f64 im)))
(exp.f64 (log.f64 (sqrt.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))) (/.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(*.f64 (+.f64 (/.f64 re im) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im))) (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 (/.f64 re im) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))
Outputs
(*.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))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.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))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (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))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
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re
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im
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(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
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(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 re im))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 re im) #s(literal -4 binary64)))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 re im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im))) (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 re im))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 re im) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 re im))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 re im) #s(literal -4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 re im))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 re im) #s(literal -4 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 re im)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (*.f64 (/.f64 re im) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 re im) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (neg.f64 (fma.f64 re (/.f64 #s(literal 2 binary64) im) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal -4 binary64)) (+.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 re (/.f64 #s(literal 2 binary64) im) #s(literal -2 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 (/.f64 re im) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re (/.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) im)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 re im) #s(literal 2 binary64))

eval415.0ms (4.4%)

Memory
18.7MiB live, 287.6MiB allocated
Compiler

Compiled 21 349 to 3 976 computations (81.4% saved)

prune142.0ms (1.5%)

Memory
-20.7MiB live, 339.8MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New93420954
Fresh415
Picked415
Done000
Total94222964
Accuracy
89.6%
Counts
964 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
▶20.1%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
27.7%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶51.9%
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
51.3%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 3 binary64))
51.2%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
48.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
▶81.6%
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
51.9%
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
48.6%
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
▶53.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
53.9%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
52.3%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
55.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
14.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶27.9%
(sqrt.f64 re)
48.7%
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
39.1%
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
21.5%
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
Compiler

Compiled 424 to 345 computations (18.6% saved)

simplify130.0ms (1.4%)

Memory
17.2MiB live, 56.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
✓cost-diff128
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
✓cost-diff12992
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 re #s(literal 3/2 binary64))
✓cost-diff64
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 im re))
✓cost-diff256
(*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))
✓cost-diff256
(sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
cost-diff0
(sqrt.f64 re)
cost-diff0
(hypot.f64 re im)
cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
Rules
1 142×fma-define
954×cube-prod
809×distribute-lft-in
419×times-frac
397×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032482
157438
297438
3141366
4180359
5308359
6619359
71870359
83570359
94705359
105297359
115910359
126356359
136975359
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))
(*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))
im
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)
(*.f64 #s(literal 2 binary64) (+.f64 im re))
#s(literal 2 binary64)
(+.f64 im re)
re
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 re #s(literal 3/2 binary64))
re
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))
#s(literal 2 binary64)
(*.f64 im #s(literal 1/4 binary64))
im
#s(literal 1/4 binary64)
Outputs
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))
(sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))
(*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))
(*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))
(*.f64 #s(literal 2 binary64) (+.f64 re im))
im
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))
(fma.f64 re (/.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))
(*.f64 #s(literal 2 binary64) (+.f64 re im))
#s(literal 2 binary64)
(+.f64 im re)
(+.f64 re im)
re
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(pow.f64 re #s(literal 3/2 binary64))
re
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))
(*.f64 im #s(literal 1/2 binary64))
#s(literal 2 binary64)
(*.f64 im #s(literal 1/4 binary64))
im
#s(literal 1/4 binary64)

localize91.0ms (1%)

Memory
3.8MiB live, 238.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
✓accuracy99.9%
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
✓accuracy99.6%
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
✓accuracy100.0%
(pow.f64 re #s(literal 3/2 binary64))
✓accuracy81.9%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
✓accuracy100.0%
(sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)
✓accuracy93.4%
(*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))
accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy100.0%
(+.f64 re (hypot.f64 re im))
✓accuracy100.0%
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
Samples
33.0ms134×0valid
24.0ms122×0invalid
Compiler

Compiled 127 to 28 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 10.0ms (25.2% of total)
ival-sqrt: 9.0ms (22.7% of total)
ival-hypot: 4.0ms (10.1% of total)
...in/eval/compile.rkt:111:19: 4.0ms (10.1% of total)
ival-pow: 4.0ms (10.1% of total)
ival-div: 2.0ms (5% of total)
ival-add: 2.0ms (5% of total)
ival-pow2: 2.0ms (5% of total)
ival-cbrt: 1.0ms (2.5% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.9%)

Memory
2.7MiB live, 201.0MiB allocated
Counts
13 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (+.f64 re (hypot.f64 re im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))>
#<alt (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))>
#<alt (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))>
#<alt (pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 re #s(literal 3/2 binary64))>
#<alt (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)>
Outputs
#<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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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 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 (sqrt.f64 im)>
#<alt (+.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re)))>
#<alt (+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #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 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
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#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) re))))>
Calls

54 calls:

TimeVariablePointExpression
34.0ms
im
@0
(sqrt (sqrt (* 2 (* im 1/4))))
15.0ms
im
@inf
(sqrt (sqrt (* 2 (* im 1/4))))
4.0ms
re
@inf
(sqrt (+ re (sqrt (+ (* re re) (* im im)))))
4.0ms
re
@-inf
(pow (pow re 3/2) 1/3)
2.0ms
re
@0
(pow (pow re 3/2) 1/3)

rewrite219.0ms (2.3%)

Memory
-8.8MiB live, 183.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 267×log1p-expm1-u
194×expm1-log1p-u
190×pow1
190×add-cube-cbrt
188×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031316
1459288
25925288
Stop Event
1×node limit
Counts
13 → 310
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
(sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)))
(*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 re #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #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 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(hypot.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(hypot.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(*.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) (cbrt.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(/.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (sqrt.f64 im))
(pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))) #s(literal 1 binary64))
(/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 im (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(/.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im))) im)
(/.f64 (neg.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (neg.f64 im))
(/.f64 (*.f64 im (*.f64 (+.f64 re im) #s(literal -2 binary64))) (neg.f64 im))
(/.f64 (*.f64 (*.f64 (+.f64 re im) #s(literal -2 binary64)) im) (neg.f64 im))
(/.f64 (/.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1 binary64)) im)
(/.f64 (/.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(/.f64 (/.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (+.f64 re im))) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (+.f64 re im) im)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (sqrt.f64 re) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (pow.f64 re #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 re #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 re))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(sqrt.f64 re)
(fabs.f64 (sqrt.f64 re))
(log.f64 (exp.f64 (sqrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 re))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 re)))
(log1p.f64 (expm1.f64 (sqrt.f64 re)))
(exp.f64 (log.f64 (sqrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 re (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 re) re)
(*.f64 (pow.f64 re #s(literal 3/4 binary64)) (pow.f64 re #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 re) #s(literal 3/2 binary64)))
(*.f64 (*.f64 re (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (*.f64 re (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 re #s(literal 3 binary64)))
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(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (+.f64 re im) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1 binary64)))

simplify565.0ms (6%)

Memory
-29.8MiB live, 613.8MiB allocated
Algorithm
1×egg-herbie
Rules
801×fma-define
400×*-commutative
368×distribute-rgt-in
368×distribute-lft-in
253×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0108921763
1287720095
2744820039
Stop Event
1×node limit
Counts
526 → 622
Calls
Call 1
Inputs
(*.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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))
(*.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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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 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))))))))
(sqrt.f64 im)
(+.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re)))
(+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #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 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 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)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 2 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 im #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))
(*.f64 (+.f64 re im) (/.f64 #s(literal 2 binary64) im))
(*.f64 (+.f64 re im) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 (+.f64 re im) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 2 binary64) (+.f64 re im)))
(*.f64 (/.f64 (+.f64 re im) im) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (+.f64 re im) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 im)) (/.f64 (+.f64 re im) (sqrt.f64 im)))
(*.f64 (/.f64 (+.f64 re im) (sqrt.f64 im)) (/.f64 #s(literal 2 binary64) (sqrt.f64 im)))
(*.f64 (/.f64 (+.f64 re im) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) im))
(*.f64 (/.f64 (+.f64 re im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (sqrt.f64 im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (sqrt.f64 im)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (cbrt.f64 im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (neg.f64 im)))
(neg.f64 (/.f64 (*.f64 (+.f64 re im) #s(literal -2 binary64)) im))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (+.f64 re im) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1 binary64)))
Outputs
(*.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))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (*.f64 #s(literal 1/8 binary64) (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 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))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (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))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
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(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (+.f64 re im) (/.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (+.f64 re im) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (*.f64 (+.f64 re im) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 2 binary64) (+.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (+.f64 re im) im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (+.f64 re im) (cbrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 im)) (/.f64 (+.f64 re im) (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (+.f64 re im) (sqrt.f64 im)) (/.f64 #s(literal 2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (+.f64 re im) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (+.f64 re im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (cbrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (cbrt.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 im re))))
(/.f64 #s(literal 2 binary64) (/.f64 im (+.f64 im re)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) (neg.f64 im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(neg.f64 (/.f64 (*.f64 (+.f64 re im) #s(literal -2 binary64)) im))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (+.f64 re im) im)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 re im) im))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 im re) im))
(*.f64 (/.f64 #s(literal 2 binary64) im) (+.f64 im re))

eval166.0ms (1.8%)

Memory
8.0MiB live, 275.3MiB allocated
Compiler

Compiled 18 354 to 3 496 computations (81% saved)

prune143.0ms (1.5%)

Memory
-28.7MiB live, 353.1MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New8439852
Fresh11516
Picked235
Done011
Total84628874
Accuracy
89.6%
Counts
874 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
36.9%
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
50.8%
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64))
✓20.1%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
27.7%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶51.9%
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
48.7%
(pow.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
51.5%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
51.3%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 3 binary64))
51.2%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
48.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
✓81.6%
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
14.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 1/2 binary64)))
▶51.9%
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
▶48.6%
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
54.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
53.9%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
▶52.3%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
▶55.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
14.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓27.9%
(sqrt.f64 re)
48.7%
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
39.1%
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
39.1%
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
21.5%
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
Compiler

Compiled 524 to 434 computations (17.2% saved)

simplify10.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
✓cost-diff0
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
✓cost-diff12800
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 im #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
✓cost-diff12864
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 im)
✓cost-diff0
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 im #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 re im)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
Rules
10×*-commutative
4×fma-define
2×distribute-rgt-in
2×associate-*r*
2×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025280
138280
251280
356280
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
#s(literal 1/2 binary64)
(+.f64 re im)
re
im
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
#s(literal 1/2 binary64)
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
#s(literal 1/2 binary64)
(+.f64 re im)
re
im
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
im
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
im
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
#s(literal 1/2 binary64)
(sqrt.f64 im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize74.0ms (0.8%)

Memory
-24.3MiB live, 132.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
✓accuracy99.5%
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.1%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
✓accuracy100.0%
(*.f64 im #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓accuracy99.9%
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
✓accuracy99.4%
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 im)
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 im #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
Samples
36.0ms196×0valid
9.0ms60×0invalid
Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sqrt: 12.0ms (41.4% of total)
ival-mult: 7.0ms (24.2% of total)
ival-exp: 3.0ms (10.4% of total)
ival-log: 3.0ms (10.4% of total)
ival-pow2: 3.0ms (10.4% of total)
ival-add: 2.0ms (6.9% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.6%)

Memory
10.9MiB live, 124.6MiB allocated
Counts
11 → 156
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 re im))>
#<alt (+.f64 re im)>
#<alt (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))>
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))>
#<alt (*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))>
Outputs
#<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 -1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #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 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 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 -1/8 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 1/2 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 -1/8 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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re))))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt re>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 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 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 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 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
Calls

42 calls:

TimeVariablePointExpression
110.0ms
im
@-inf
(log (* 1/2 (sqrt im)))
18.0ms
im
@0
(log (* 1/2 (sqrt im)))
6.0ms
im
@inf
(log (* 1/2 (sqrt im)))
1.0ms
re
@-inf
(sqrt (* 1/2 (+ re im)))
1.0ms
im
@-inf
(sqrt (* 1/2 (+ re im)))

rewrite412.0ms (4.4%)

Memory
-3.5MiB live, 156.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
779×log1p-expm1-u
779×expm1-log1p-u
700×prod-diff
290×fma-define
151×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025181
1348175
23703175
Stop Event
1×node limit
Counts
11 → 327
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
(+.f64 re im)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re im)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(*.f64 (sqrt.f64 (+.f64 re im)) (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 re im))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (-.f64 re im))
(/.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 re im))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (*.f64 #s(literal 1/2 binary64) re))
(fma.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
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(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #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 im #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))))
(cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (cbrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 1/4 binary64))) (pow.f64 im #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(sqrt.f64 (*.f64 im #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64)))) (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im))))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))

simplify205.0ms (2.2%)

Memory
23.2MiB live, 266.1MiB allocated
Algorithm
1×egg-herbie
Rules
755×times-frac
528×associate-*r*
461×associate-*l*
330×*-commutative
275×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072313524
1160613144
2504713096
Stop Event
1×node limit
Counts
483 → 461
Calls
Call 1
Inputs
(*.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 -1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #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 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #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 im #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (cbrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 im)) (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 im)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 im) (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 im)) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #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 im #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))))
(cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (cbrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 1/4 binary64))) (pow.f64 im #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(sqrt.f64 (*.f64 im #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64)))) (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im))))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))
Outputs
(*.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))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) #s(literal -1/8 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 -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #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 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))))))))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 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 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (neg.f64 re))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 re (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(*.f64 re (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(neg.f64 (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
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(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))
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(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))))))
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(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 1 binary64))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 3 binary64))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 2 binary64))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 2 binary64)))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 im) #s(literal -1 binary64)))
(log1p.f64 (fma.f64 (sqrt.f64 im) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 1 binary64)))
(log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (sqrt.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 im)))

eval81.0ms (0.9%)

Memory
-0.9MiB live, 151.7MiB allocated
Compiler

Compiled 8 960 to 1 941 computations (78.3% saved)

prune123.0ms (1.3%)

Memory
-11.3MiB live, 269.1MiB allocated
Pruning

40 alts after pruning (31 fresh and 9 done)

PrunedKeptTotal
New63015645
Fresh31619
Picked055
Done044
Total63340673
Accuracy
89.6%
Counts
673 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
36.9%
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
36.9%
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
50.8%
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64))
✓20.1%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
27.7%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓51.9%
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
48.7%
(pow.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
51.5%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
51.3%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 3 binary64))
46.8%
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
51.2%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
48.4%
(*.f64 (pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
✓81.6%
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
14.9%
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 1/2 binary64)))
✓51.9%
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
46.8%
(*.f64 (exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
48.5%
(*.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
46.8%
(*.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
48.4%
(*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 im))) (sqrt.f64 #s(literal 2 binary64)))
48.3%
(*.f64 (exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64)))) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
48.6%
(*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
48.6%
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓48.6%
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
31.7%
(*.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
47.9%
(*.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
54.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
43.8%
(sqrt.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
✓52.3%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
✓55.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
14.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
48.7%
(sqrt.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
✓27.9%
(sqrt.f64 re)
48.7%
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
39.1%
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
39.1%
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
21.5%
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
Compiler

Compiled 965 to 570 computations (40.9% saved)

regimes117.0ms (1.2%)

Memory
27.9MiB live, 220.2MiB allocated
Counts
56 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(sqrt.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(*.f64 (pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64)))) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 im)))) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

7 calls:

18.0ms
re
17.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
16.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
16.0ms
(*.f64 im im)
16.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Results
AccuracySegmentsBranch
84.0%2re
82.1%1im
87.8%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))))
87.8%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
87.1%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
87.1%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
82.1%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes18.0ms (0.2%)

Memory
-1.5MiB live, 36.4MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
Outputs
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
(sqrt.f64 re)
Calls

2 calls:

9.0ms
re
7.0ms
im
Results
AccuracySegmentsBranch
65.1%2im
71.1%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-16.4MiB live, 21.2MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(sqrt.f64 re)
Calls

1 calls:

9.0ms
re
Results
AccuracySegmentsBranch
67.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(*.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 (neg.f64 re) re))))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(sqrt.f64 re)
Calls

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
67.5%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Outputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
65.1%2im
64.3%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-28.4MiB live, 12.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Outputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
Calls

2 calls:

7.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
64.0%2re
64.0%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 re)
Outputs
(sqrt.f64 re)
Calls

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
27.9%1re
27.9%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.4913143008490952e-151
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch51.0ms (0.5%)

Memory
12.8MiB live, 87.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
8.201124798904773e+64
4.0561149110529305e+68
32.0ms
-4.2591558606210997e+105
-4.455138121865703e+91
Samples
15.0ms179×0valid
11.0ms45×3valid
9.0ms48×2valid
2.0ms16×1valid
Compiler

Compiled 440 to 316 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-hypot: 13.0ms (49.7% of total)
ival-mult: 5.0ms (19.1% of total)
ival-sqrt: 3.0ms (11.5% of total)
adjust: 2.0ms (7.7% of total)
ival-add: 2.0ms (7.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Memory
5.7MiB live, 80.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
8.201124798904773e+64
4.0561149110529305e+68
31.0ms
-2.9261165826927546e+201
-2.7730318079705453e+192
Samples
17.0ms156×0valid
10.0ms41×3valid
7.0ms39×2valid
7.0ms36×1valid
Compiler

Compiled 371 to 271 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-hypot: 19.0ms (59.1% of total)
ival-mult: 5.0ms (15.5% of total)
ival-sqrt: 3.0ms (9.3% of total)
adjust: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Memory
13.9MiB live, 87.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
8.201124798904773e+64
4.0561149110529305e+68
34.0ms
-2.9261165826927546e+201
-2.7730318079705453e+192
Samples
14.0ms44×3valid
10.0ms157×0valid
10.0ms41×2valid
4.0ms30×1valid
Compiler

Compiled 303 to 237 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-hypot: 13.0ms (46.2% of total)
ival-mult: 5.0ms (17.8% of total)
ival-add: 4.0ms (14.2% of total)
ival-sqrt: 3.0ms (10.7% of total)
adjust: 2.0ms (7.1% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-11.8MiB live, 23.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.740830029679353e-95
5.481689554684329e-91
Samples
6.0ms91×0valid
4.0ms20×2valid
2.0ms17×1valid
Compiler

Compiled 132 to 102 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-hypot: 3.0ms (38.4% of total)
ival-mult: 2.0ms (25.6% of total)
ival-add: 1.0ms (12.8% of total)
ival-sqrt: 1.0ms (12.8% of total)
adjust: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
-18.8MiB live, 22.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.0636887751089593e-86
1.010002497976413e-84
Samples
5.0ms76×0valid
5.0ms26×2valid
1.0ms10×1valid
Compiler

Compiled 104 to 84 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 3.0ms (40.3% of total)
ival-mult: 2.0ms (26.9% of total)
adjust: 1.0ms (13.4% of total)
ival-add: 1.0ms (13.4% of total)
ival-sqrt: 1.0ms (13.4% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
23.9MiB live, 23.8MiB allocated
Algorithm
1×egg-herbie
Rules
11×*-commutative
7×+-commutative
1×unsub-neg
1×sub-neg
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076487
196487
298487
399487
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (if (<=.f64 re #s(literal 88000000000000000706995562967264590199562826498554499591395344384 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im)))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -2149999999999999905331867719638035787759689158382939467916431117079397270595384548631485424704323515039880843852694210912488590977120758970904560912678875878377815891035195592820060364223027347456 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re)))) (if (<=.f64 re #s(literal 139999999999999994215848837338198052900067105679816974612811481088 binary64)) (sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re)))) (if (<=.f64 re #s(literal 48999999999999999004444245749324972930417609220199186952260528635904 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (sqrt.f64 re)))
(if (<=.f64 im #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(if (<=.f64 im #s(literal 5686851884435831/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 re)
Outputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560000 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (if (<=.f64 re #s(literal 88000000000000000706995562967264590199562826498554499591395344384 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 im (+.f64 re im)))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -2149999999999999905331867719638035787759689158382939467916431117079397270595384548631485424704323515039880843852694210912488590977120758970904560912678875878377815891035195592820060364223027347456 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re)))) (if (<=.f64 re #s(literal 139999999999999994215848837338198052900067105679816974612811481088 binary64)) (sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -2149999999999999905331867719638035787759689158382939467916431117079397270595384548631485424704323515039880843852694210912488590977120758970904560912678875878377815891035195592820060364223027347456 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 re re))) (if (<=.f64 re #s(literal 139999999999999994215848837338198052900067105679816974612811481088 binary64)) (sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re)))) (if (<=.f64 re #s(literal 48999999999999999004444245749324972930417609220199186952260528635904 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -359999999999999975506791380394492470957363091420611645896086489609231420462224733992775685819125092602338986707636263545888853795815376551829355103860758231451973471415807724758173994516135256665358336 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 re re))) (if (<=.f64 re #s(literal 48999999999999999004444245749324972930417609220199186952260528635904 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (sqrt.f64 re)))
(if (<=.f64 im #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(if (<=.f64 im #s(literal 5686851884435831/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 re)

soundness1.1s (12.3%)

Memory
-9.4MiB live, 919.0MiB allocated
Rules
1 267×log1p-expm1-u
789×fma-define
764×log1p-expm1-u
764×expm1-log1p-u
721×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154630927
1436329557
031316
1459288
25925288
081430033
1239128525
023253
1338253
23739253
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
Stop Event
1×fuel
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 705 to 246 computations (65.1% saved)

preprocess97.0ms (1%)

Memory
8.2MiB live, 126.9MiB allocated
Remove

(abs im)

Compiler

Compiled 524 to 290 computations (44.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...