math.sqrt on complex, real part

Time bar (total: 10.7s)

analyze99.0ms (0.9%)

Memory
-28.6MiB live, 206.3MiB 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
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
68.8%68.7%31.2%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
71.9%71.8%28.1%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
73.4%73.4%26.5%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.8s (16.8%)

Memory
58.3MiB live, 2 266.3MiB allocated
Samples
846.0ms6 274×0valid
368.0ms1 215×2valid
246.0ms593×1valid
44.0ms174×3valid
Precisions
Click to see histograms. Total time spent on operations: 790.0ms
ival-mult: 453.0ms (57.3% of total)
ival-sqrt: 168.0ms (21.3% of total)
ival-add: 106.0ms (13.4% of total)
adjust: 51.0ms (6.5% of total)
ival-true: 6.0ms (0.8% of total)
...in/eval/compile.rkt:76:19: 4.0ms (0.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess93.0ms (0.9%)

Memory
-18.4MiB live, 101.8MiB 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)

explain281.0ms (2.6%)

Memory
28.5MiB live, 224.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1400-1(-2.834601912762091e-159 4.81612744438521e-259)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
260-5(-5.132020403755856e-195 8.266494545161145e-259)(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
261(-5.132020403755856e-195 8.266494545161145e-259)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-rescue1240
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow124
↳(*.f64 re re)overflow68
↳(*.f64 im im)overflow80
+.f64(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation270
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))uflow-rescue210
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow15
↳(*.f64 im im)underflow55
↳(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))underflow7
↳(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))underflow28
↳(*.f64 re re)underflow57
↳(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)underflow28
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue150
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow15
↳(*.f64 re re)underflow57
↳(*.f64 im im)underflow55
Confusion
Predicted +Predicted -
+1630
-093
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-0093
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
093
1139
224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms402×0valid
14.0ms62×2valid
6.0ms36×1valid
3.0ms12×3valid
Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 16.0ms (43.4% of total)
ival-sqrt: 11.0ms (29.9% of total)
ival-add: 6.0ms (16.3% of total)
adjust: 2.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶82.7%
(*.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)

simplify11.0ms (0.1%)

Memory
-30.4MiB live, 8.6MiB 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

localize81.0ms (0.8%)

Memory
16.3MiB live, 99.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
✓accuracy91.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓accuracy91.4%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓accuracy49.6%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓accuracy91.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓accuracy91.4%
(+.f64 re (hypot.f64 re im))
Samples
37.0ms201×0valid
12.0ms31×2valid
5.0ms18×1valid
3.0ms6×3valid
Compiler

Compiled 114 to 19 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 23.0ms (53.7% of total)
ival-hypot: 7.0ms (16.3% of total)
ival-sqrt: 7.0ms (16.3% of total)
ival-add: 5.0ms (11.7% of total)
adjust: 2.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory
-11.3MiB live, 65.0MiB 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
4.0ms
im
@inf
(* 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
@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)))))))
1.0ms
re
@-inf
(* 2 (+ re (sqrt (+ (* re re) (* im im)))))

rewrite299.0ms (2.8%)

Memory
17.6MiB live, 256.2MiB 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)))

simplify461.0ms (4.3%)

Memory
8.8MiB live, 284.3MiB 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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eval187.0ms (1.7%)

Memory
-15.3MiB live, 101.7MiB allocated
Compiler

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

prune73.0ms (0.7%)

Memory
14.8MiB live, 176.7MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New46317480
Fresh000
Picked112
Done000
Total46418482
Accuracy
88.9%
Counts
482 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶26.5%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
82.0%
(*.f64 #s(literal 1/2 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)))
79.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (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)))))
79.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
81.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))))
11.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
▶54.5%
(*.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 #s(literal 2 binary64))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
▶79.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)) re))))
✓39.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
6.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
▶73.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
56.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
76.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
9.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
▶82.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 509 to 360 computations (29.3% saved)

simplify22.0ms (0.2%)

Memory
-5.6MiB live, 32.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff25664
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
✓cost-diff25664
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
✓cost-diff25664
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
✓cost-diff25664
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
✓cost-diff12800
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
✓cost-diff12800
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
✓cost-diff12800
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
✓cost-diff12800
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
✓cost-diff0
(/.f64 re im)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 re im))
✓cost-diff0
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) im)
✓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
36×fma-define
20×*-commutative
10×+-commutative
6×distribute-rgt-in
6×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036669
179669
2115669
3146669
4166669
5167669
Stop Event
1×saturated
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 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
re
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
#s(literal 2 binary64)
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
(exp.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
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 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(*.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
im
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
re
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re 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 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
(+.f64 re (hypot.f64 re im))
(exp.f64 (log.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im

localize112.0ms (1%)

Memory
9.4MiB live, 205.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
✓accuracy100.0%
(sqrt.f64 (hypot.f64 re im))
✓accuracy99.8%
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
✓accuracy100.0%
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
✓accuracy95.2%
(exp.f64 (log.f64 (hypot.f64 re im)))
✓accuracy100.0%
(*.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))))))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
✓accuracy100.0%
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
✓accuracy89.8%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
✓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%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
accuracy100.0%
(+.f64 re (hypot.f64 re im))
Samples
34.0ms121×0invalid
33.0ms135×0valid
Compiler

Compiled 210 to 32 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (38.3% of total)
ival-sqrt: 10.0ms (20.1% of total)
ival-add: 6.0ms (12.1% of total)
ival-div: 4.0ms (8.1% of total)
ival-hypot: 4.0ms (8.1% of total)
ival-exp: 3.0ms (6% of total)
ival-log: 3.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.9%)

Memory
-8.4MiB live, 226.4MiB allocated
Counts
23 → 458
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 2 binary64) im)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (/.f64 re im)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))>
#<alt (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))>
#<alt (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.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))))))>
#<alt (exp.f64 (log.f64 (hypot.f64 re im)))>
#<alt (log.f64 (hypot.f64 re im))>
#<alt (sqrt.f64 (hypot.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))>
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#<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>
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#<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>
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#<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)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) re))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (-.f64 (*.f64 #s(literal 2 binary64) im) im)))) re)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 im))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (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) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (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 (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 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 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.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 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (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) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.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 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (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 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 re)>
#<alt (+.f64 (sqrt.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (+.f64 (sqrt.f64 re) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (+.f64 (sqrt.f64 re) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64))))))))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))))>
#<alt (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64))))))))))))>
#<alt (sqrt.f64 im)>
#<alt (+.f64 (sqrt.f64 im) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 im) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))))>
#<alt (+.f64 (sqrt.f64 im) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))))))))))>
Calls

129 calls:

TimeVariablePointExpression
7.0ms
im
@0
(sqrt (sqrt (+ (* re re) (* im im))))
5.0ms
im
@0
(* 1/2 (sqrt (+ (* 2 im) (* re (+ 2 (/ re im))))))
3.0ms
im
@0
(sqrt (* 1/2 (+ re (sqrt (+ (* re re) (* im im))))))
2.0ms
im
@0
(log (sqrt (+ (* re re) (* im im))))
2.0ms
re
@0
(* re (+ 2 (/ re im)))

rewrite295.0ms (2.8%)

Memory
20.1MiB live, 283.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 007×log1p-expm1-u
212×expm1-log1p-u
208×add-exp-log
208×add-log-exp
207×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036577
1593577
26586577
Stop Event
1×node limit
Counts
23 → 589
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 2 binary64) im)
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re 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))))))
(exp.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (hypot.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 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.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 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 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 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.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)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (hypot.f64 re im) re))
(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 (+.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) (+.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 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.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 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(-.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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(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)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 re #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (sqrt.f64 re)))
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(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(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)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (hypot.f64 re im)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64)))

simplify561.0ms (5.2%)

Memory
14.9MiB live, 1 101.6MiB allocated
Algorithm
1×egg-herbie
Rules
718×*-commutative
370×+-commutative
272×fma-define
229×associate-*r*
190×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0201157257
1579755603
Stop Event
1×node limit
Counts
1 047 → 1 124
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)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 im (*.f64 #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64))) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(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)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (hypot.f64 re im)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re 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))))
(+.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))))))
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(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(hypot.f64 re im)
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(hypot.f64 re im)
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(hypot.f64 re im)
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 re im))))
(hypot.f64 re im)
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(hypot.f64 re im)
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(hypot.f64 re im)
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(hypot.f64 re im)
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(hypot.f64 re im)
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 re im)
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 re im)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(hypot.f64 re im)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(hypot.f64 re im)
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(hypot.f64 re im)
(log.f64 (exp.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(hypot.f64 re im)
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(hypot.f64 re im)
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(log.f64 (hypot.f64 re im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(sqrt.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(sqrt.f64 (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1/2 binary64))
(sqrt.f64 (hypot.f64 re im))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(sqrt.f64 (hypot.f64 re im))
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(sqrt.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (hypot.f64 re im))
(fabs.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))
(sqrt.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (hypot.f64 re im)))))
(sqrt.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))
(sqrt.f64 (hypot.f64 re im))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(sqrt.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(sqrt.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(sqrt.f64 (hypot.f64 re im))

eval263.0ms (2.5%)

Memory
4.6MiB live, 420.8MiB allocated
Compiler

Compiled 39 500 to 7 230 computations (81.7% saved)

prune227.0ms (2.1%)

Memory
-21.7MiB live, 503.6MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 514171 531
Fresh8412
Picked325
Done011
Total1 525241 549
Accuracy
88.9%
Counts
1 549 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.1%
(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))
17.0%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
▶26.3%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
79.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (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)))))
79.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
11.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓54.5%
(*.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))))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (hypot.f64 re im)) re))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 re im)) re))))
2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
✓39.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶1.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
9.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
53.9%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
▶78.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
78.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
✓82.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
54.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))))))))
6.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
56.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
76.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
11.7%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶26.5%
(sqrt.f64 re)
24.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
Compiler

Compiled 603 to 428 computations (29% saved)

simplify110.0ms (1%)

Memory
22.2MiB live, 61.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
✓cost-diff25664
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
✓cost-diff25664
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))
✓cost-diff25664
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
✓cost-diff12992
(+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)
✓cost-diff13120
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))
✓cost-diff13120
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))
✓cost-diff13120
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
✓cost-diff0
(pow.f64 re #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 re)
cost-diff0
(+.f64 re (hypot.f64 re im))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
✓cost-diff6528
(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))
Rules
1 079×fma-define
261×fmm-def
152×unsub-neg
105×associate-*r*
105×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032459
164419
2100355
3203355
4365355
5493355
6899355
71495355
82268355
92489355
102637355
112732355
122783355
132793355
Stop Event
1×saturated
Calls
Call 1
Inputs
(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))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
(*.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
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 re)
re
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 re #s(literal 1/4 binary64))
re
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))
#s(literal 2 binary64)
(+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)
(exp.f64 (log.f64 (neg.f64 re)))
(log.f64 (neg.f64 re))
(neg.f64 re)
re
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(cbrt.f64 re)
re
#s(literal 2 binary64)
(hypot.f64 re im)
im
Outputs
(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))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(sqrt.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 1/4 binary64))
(*.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
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(sqrt.f64 re)
re
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 re)
(pow.f64 re #s(literal 1/4 binary64))
re
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) re)))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) re))
#s(literal 0 binary64)
#s(literal 2 binary64)
(+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)
(*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) re))
#s(literal 0 binary64)
(exp.f64 (log.f64 (neg.f64 re)))
(neg.f64 re)
(log.f64 (neg.f64 re))
(neg.f64 re)
re
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
(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))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(+.f64 re (hypot.f64 re im))
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(cbrt.f64 re)
re
#s(literal 2 binary64)
(hypot.f64 re im)
im

localize107.0ms (1%)

Memory
11.5MiB live, 176.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
✓accuracy100.0%
(cbrt.f64 re)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))
✓accuracy100.0%
(neg.f64 re)
✓accuracy100.0%
(log.f64 (neg.f64 re))
✓accuracy100.0%
(exp.f64 (log.f64 (neg.f64 re)))
✓accuracy100.0%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(pow.f64 re #s(literal 1/4 binary64))
accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
accuracy100.0%
(hypot.f64 re im)
accuracy100.0%
(+.f64 re (hypot.f64 re im))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
Samples
68.0ms256×0invalid
Compiler

Compiled 150 to 28 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 15.0ms (31% of total)
ival-mult: 7.0ms (14.5% of total)
ival-pow2: 7.0ms (14.5% of total)
ival-hypot: 5.0ms (10.3% of total)
ival-sqrt: 4.0ms (8.3% of total)
ival-add: 3.0ms (6.2% of total)
ival-exp: 2.0ms (4.1% of total)
ival-log: 2.0ms (4.1% of total)
ival-cbrt: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series145.0ms (1.4%)

Memory
8.3MiB live, 197.3MiB allocated
Counts
16 → 244
Calls
Call 1
Inputs
#<alt (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))>
#<alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))>
#<alt (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))>
#<alt (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))>
#<alt (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))>
#<alt (exp.f64 (log.f64 (neg.f64 re)))>
#<alt (log.f64 (neg.f64 re))>
#<alt (neg.f64 re)>
#<alt (cbrt.f64 re)>
Outputs
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (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)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.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))))))))>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #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)))))))))>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/128 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.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))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/256 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)))))) (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (sqrt.f64 re)>
#<alt (+.f64 (sqrt.f64 re) (*.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 3 binary64)))))))>
#<alt (+.f64 (sqrt.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (sqrt.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (*.f64 #s(literal 21/1024 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 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 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 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 -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (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 -1/8 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 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 3 binary64)))) (/.f64 (*.f64 re (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 1/32 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (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 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64))))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64))>
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#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
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#<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)))))>
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#<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))))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
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#<alt re>
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#<alt re>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
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#<alt (*.f64 #s(literal -1/2 binary64) im)>
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#<alt im>
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#<alt (*.f64 #s(literal 2 binary64) re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))>
#<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 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 re))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 re))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 re))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 re))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 re) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 re) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 re) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 re) (cbrt.f64 #s(literal -1 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
42.0ms
re
@inf
(pow re 1/4)
30.0ms
re
@0
(pow re 1/4)
13.0ms
re
@-inf
(pow re 1/4)
10.0ms
re
@inf
(log (neg re))
8.0ms
re
@0
(log (neg re))

rewrite204.0ms (1.9%)

Memory
-13.9MiB live, 137.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
969×log1p-expm1-u
737×expm1-log1p-u
178×pow1
172×add-exp-log
172×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031318
1475276
25391276
Stop Event
1×node limit
Counts
16 → 426
Calls
Call 1
Inputs
(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))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 re #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))
(+.f64 (exp.f64 (log.f64 (neg.f64 re))) re)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(exp.f64 (log.f64 (neg.f64 re)))
(log.f64 (neg.f64 re))
(neg.f64 re)
(cbrt.f64 re)
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 (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 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.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 #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 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (cbrt.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 (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 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 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 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.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))) (*.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 (*.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 1/8 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (cbrt.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 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(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 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #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 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(fabs.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.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 (cbrt.f64 re) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64))))
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(*.f64 #s(literal 1 binary64) (cbrt.f64 re))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))))
(pow.f64 re #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 re))
(log.f64 (exp.f64 (cbrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 re))))
(expm1.f64 (log1p.f64 (cbrt.f64 re)))
(log1p.f64 (expm1.f64 (cbrt.f64 re)))
(exp.f64 (log.f64 (cbrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 1 binary64)))

simplify522.0ms (4.9%)

Memory
-93.3MiB live, 310.2MiB allocated
Algorithm
1×egg-herbie
Rules
712×distribute-lft-in
688×distribute-rgt-in
454×*-commutative
296×associate-+r+
215×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139214837
1380214837
Stop Event
1×node limit
Counts
670 → 521
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (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)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 re)
(*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.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 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #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 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/128 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.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 (*.f64 im (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/256 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)))))) (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(sqrt.f64 re)
(+.f64 (sqrt.f64 re) (*.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 3 binary64)))))))
(+.f64 (sqrt.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (*.f64 #s(literal 21/1024 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))))))))))
(*.f64 (sqrt.f64 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 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 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 -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (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 -1/8 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 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 3 binary64)))) (/.f64 (*.f64 re (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 1/32 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (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))))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64))))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 15 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 (*.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 15 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 23 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal 1/24576 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2880 binary64) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 45/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/1536 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (*.f64 #s(literal -1/1536 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1/24576 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2880 binary64) (+.f64 (*.f64 #s(literal -720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64))))))))) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64))))))
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(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 re) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 re #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) re)
(-.f64 #s(literal 0 binary64) re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
(*.f64 re #s(literal 1 binary64))
(*.f64 re #s(literal -1 binary64))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 3/4 binary64)))
(*.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 re)))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 3/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)))
(*.f64 #s(literal -1 binary64) re)
(*.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 re) (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64))) re)
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 re)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 re))) (sqrt.f64 (log.f64 re)))
(neg.f64 re)
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 re)))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(+.f64 (log.f64 (sqrt.f64 re)) (log.f64 (sqrt.f64 re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 (cbrt.f64 re)))
(+.f64 #s(literal 0 binary64) (log.f64 re))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 re))
(-.f64 (exp.f64 (log1p.f64 (log.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(*.f64 (log.f64 re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 re)) (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 re)))
(*.f64 (sqrt.f64 (log.f64 re)) (sqrt.f64 (log.f64 re)))
(pow.f64 (log.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 re) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 re)))
(log1p.f64 (-.f64 re #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 re)))
(exp.f64 (*.f64 (log.f64 (log.f64 re)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) re)
(-.f64 #s(literal 0 binary64) re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
(*.f64 re #s(literal 1 binary64))
(*.f64 re #s(literal -1 binary64))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 3/4 binary64)))
(*.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 re)))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 3/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)))
(*.f64 #s(literal -1 binary64) re)
(*.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 1/6 binary64))) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 re) (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64))) re)
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 re)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 re))) (sqrt.f64 (log.f64 re)))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 re)))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 re))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 re))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))))
(pow.f64 re #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 3 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 re))
(log.f64 (exp.f64 (cbrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 re))))
(expm1.f64 (log1p.f64 (cbrt.f64 re)))
(log1p.f64 (expm1.f64 (cbrt.f64 re)))
(exp.f64 (log.f64 (cbrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/16 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (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)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/16 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/16 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 re)
(*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.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 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))
(*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 #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 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (fma.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) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))))
(*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/128 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.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 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (fma.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))))) (fma.f64 #s(literal -1/128 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) (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 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (sqrt.f64 #s(literal -1 binary64)))))
(+.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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (sqrt.f64 #s(literal -1 binary64))))))
(+.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 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
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eval137.0ms (1.3%)

Memory
32.5MiB live, 293.0MiB allocated
Compiler

Compiled 18 973 to 3 960 computations (79.1% saved)

prune144.0ms (1.3%)

Memory
-19.8MiB live, 355.3MiB allocated
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New88712899
Fresh21416
Picked145
Done033
Total89033923
Accuracy
91.7%
Counts
923 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
78.7%
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
12.6%
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
13.4%
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 2 binary64))
48.0%
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 im))))) #s(literal 2 binary64))
17.0%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
✓26.3%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
13.7%
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64))
49.9%
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64))
▶24.9%
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
79.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (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)))))
▶79.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
11.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓54.5%
(*.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))))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 re im)) re))))
▶2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
✓39.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓1.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
9.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
53.9%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
78.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
✓78.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
3.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (neg.f64 re))))
78.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
✓82.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
54.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))))))))
56.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
▶76.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
11.7%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓26.5%
(sqrt.f64 re)
24.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
▶6.1%
#s(literal 0 binary64)
Compiler

Compiled 786 to 592 computations (24.7% saved)

simplify144.0ms (1.3%)

Memory
18.1MiB live, 97.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
✓cost-diff0
(log.f64 (+.f64 re (hypot.f64 re im)))
✓cost-diff12800
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
✓cost-diff12800
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
✓cost-diff12800
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
cost-diff0
(cbrt.f64 re)
✓cost-diff0
(pow.f64 re #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
✓cost-diff25920
(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))
✓cost-diff25920
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re)))
✓cost-diff25920
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
Rules
654×fma-define
399×fmm-def
122×associate-*r*
89×distribute-rgt-in
88×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035722
155638
275620
3106620
4121620
5125620
6152620
7218620
8259620
9360620
10596620
111081620
121583620
132083620
142195620
152235620
162273620
172322620
182379620
192414620
202424620
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (hypot.f64 re im))
#s(literal 2 binary64)
(hypot.f64 re im)
re
im
(*.f64 #s(literal 2 binary64) re)
#s(literal 0 binary64)
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal 1/6 binary64))
re
#s(literal 1/6 binary64)
(cbrt.f64 re)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 re (hypot.f64 re im)))
(+.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) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))))
(*.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 (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)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (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))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (hypot.f64 re im))
#s(literal 2 binary64)
(hypot.f64 re im)
re
im
(*.f64 #s(literal 2 binary64) re)
#s(literal 0 binary64)
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal 1/6 binary64))
re
#s(literal 1/6 binary64)
(cbrt.f64 re)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(+.f64 re (hypot.f64 re im))
(log.f64 (+.f64 re (hypot.f64 re im)))
(+.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) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(sqrt.f64 (neg.f64 re))
(neg.f64 re)

localize366.0ms (3.4%)

Memory
-1.2MiB live, 495.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (hypot.f64 re im))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))
✓accuracy100.0%
(sqrt.f64 (neg.f64 re))
accuracy100.0%
(neg.f64 re)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
✓accuracy100.0%
(log.f64 (+.f64 re (hypot.f64 re im)))
✓accuracy100.0%
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
✓accuracy100.0%
(pow.f64 re #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
accuracy100.0%
(cbrt.f64 re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) re)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
✓accuracy100.0%
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
Samples
173.0ms121×5exit
138.0ms135×0invalid
Compiler

Compiled 194 to 32 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-pow: 133.0ms (50.6% of total)
...in/eval/compile.rkt:77:19: 46.0ms (17.5% of total)
ival-mult: 24.0ms (9.1% of total)
adjust: 16.0ms (6.1% of total)
ival-sqrt: 16.0ms (6.1% of total)
ival-add: 8.0ms (3% of total)
ival-hypot: 7.0ms (2.7% of total)
ival-log: 5.0ms (1.9% of total)
ival-exp: 4.0ms (1.5% of total)
ival-neg: 2.0ms (0.8% of total)
ival-cbrt: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series162.0ms (1.5%)

Memory
37.0MiB live, 310.5MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))>
#<alt (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re)))>
#<alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))>
#<alt (*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))>
#<alt (pow.f64 re #s(literal 1/6 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))>
#<alt (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))>
#<alt (log.f64 (+.f64 re (hypot.f64 re im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))>
#<alt (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (sqrt.f64 (neg.f64 re))>
Outputs
#<alt (*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (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)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (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 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re))))))>
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#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
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#<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))))))))>
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#<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))>
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#<alt re>
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#<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)>
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#<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)>
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#<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 re)>
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#<alt (*.f64 #s(literal 2 binary64) re)>
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#<alt (*.f64 #s(literal 2 binary64) re)>
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#<alt im>
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#<alt (*.f64 #s(literal -1 binary64) im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #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 (log.f64 im)>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (*.f64 (sqrt.f64 (*.f64 im re)) (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (*.f64 (sqrt.f64 (*.f64 im re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 im re) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))>
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#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64)))))) (pow.f64 re #s(literal 6 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 -1/8 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 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 -1/8 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 (*.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/12 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 -1/8 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 8 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/6144 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/12 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 re (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 re (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) re))) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 re (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 re (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 re (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) re)))))))>
#<alt (+.f64 re (+.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 re (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/32 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 7/128 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 re #s(literal 5 binary64)))))))))))>
#<alt (+.f64 re (*.f64 (sqrt.f64 (*.f64 im re)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 im re)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 im re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 im re)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 11 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))))))>
#<alt (+.f64 re (*.f64 (sqrt.f64 (*.f64 im re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 im re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 im re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))))))>
#<alt (+.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 im re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 11 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
Calls

84 calls:

TimeVariablePointExpression
46.0ms
re
@0
(* (pow re 1/6) (cbrt re))
11.0ms
re
@-inf
(* (pow re 1/6) (cbrt re))
6.0ms
re
@inf
(* 1/2 (sqrt (* 2 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (neg re))) re))))
4.0ms
im
@inf
(* 1/2 (sqrt (* 2 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (neg re))) re))))
4.0ms
re
@0
(sqrt (* 2 (sqrt (+ (* re re) (* im im)))))

rewrite228.0ms (2.1%)

Memory
-17.2MiB live, 179.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 122×log1p-expm1-u
407×expm1-log1p-u
202×add-cube-cbrt
201×pow1
201×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034501
1493437
25781437
Stop Event
1×node limit
Counts
16 → 354
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
(sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re)
(*.f64 #s(literal 2 binary64) re)
(sqrt.f64 (neg.f64 re))
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 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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) (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 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
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simplify711.0ms (6.6%)

Memory
9.2MiB live, 687.9MiB allocated
Algorithm
1×egg-herbie
Rules
885×*-commutative
475×+-commutative
371×fma-define
332×times-frac
307×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0222950390
1670046613
Stop Event
1×node limit
Counts
678 → 1 097
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))))
(+.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)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 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 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 re (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) re)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 re (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) re)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 re (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) re)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))) (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))
(*.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 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 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))))
(+.f64 (*.f64 re (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) im)) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 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))))
(sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(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))))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) 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 (pow.f64 (cbrt.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 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 re (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(-.f64 (log.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (log.f64 (-.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(pow.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (-.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.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 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.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 (sqrt.f64 (*.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 (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.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 (sqrt.f64 (*.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 (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.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 (sqrt.f64 (*.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (sqrt.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 (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (sqrt.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 (sqrt.f64 (*.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))
(+.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) re)
(+.f64 (*.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) #s(literal 1 binary64)) re)
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) (sqrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (*.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) re))))
(/.f64 (-.f64 (*.f64 re (hypot.f64 re im)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (sqrt.f64 (*.f64 re (hypot.f64 re im))) re))
(pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (sqrt.f64 (*.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) re))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) re)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) re)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (cbrt.f64 (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 1/6 binary64))) (cbrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 re) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 1/12 binary64)) (*.f64 (pow.f64 re #s(literal 1/12 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))
(*.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/12 binary64))) (pow.f64 re #s(literal 1/12 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(pow.f64 re #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 1 binary64))
(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)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))))
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(log.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) re))))
(*.f64 #s(literal 2 binary64) re)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) re)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) re)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) re)))
(*.f64 #s(literal 2 binary64) re)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) re)))
(*.f64 #s(literal 2 binary64) re)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) re)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 (cbrt.f64 (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal 1/6 binary64))) (cbrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 re #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(sqrt.f64 re)
(*.f64 (sqrt.f64 re) #s(literal 1 binary64))
(sqrt.f64 re)
(*.f64 (pow.f64 re #s(literal 1/12 binary64)) (*.f64 (pow.f64 re #s(literal 1/12 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (fabs.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))
(*.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 1/6 binary64))) (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 re))))
(*.f64 (*.f64 (cbrt.f64 re) (pow.f64 re #s(literal 1/12 binary64))) (pow.f64 re #s(literal 1/12 binary64)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(*.f64 (*.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal 1/2 binary64))
(sqrt.f64 re)
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 binary64))
(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 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 re)
(pow.f64 (sqrt.f64 re) #s(literal 1 binary64))
(sqrt.f64 re)
(fabs.f64 (sqrt.f64 re))
(sqrt.f64 re)
(log.f64 (exp.f64 (sqrt.f64 re)))
(sqrt.f64 re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 re))))
(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)))
(sqrt.f64 re)
(exp.f64 (log.f64 (sqrt.f64 re)))
(sqrt.f64 re)
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(sqrt.f64 re)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 1 binary64)))
(sqrt.f64 re)

eval324.0ms (3%)

Memory
1.7MiB live, 337.0MiB allocated
Compiler

Compiled 44 356 to 6 552 computations (85.2% saved)

prune291.0ms (2.7%)

Memory
-21.8MiB live, 391.8MiB allocated
Pruning

33 alts after pruning (22 fresh and 11 done)

PrunedKeptTotal
New1 27951 284
Fresh41721
Picked145
Done077
Total1 284331 317
Accuracy
91.7%
Counts
1 317 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
12.6%
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
13.4%
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 2 binary64))
48.0%
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 im))))) #s(literal 2 binary64))
✓26.3%
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
24.3%
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 binary64))
13.7%
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64))
49.9%
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64))
79.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
79.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (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)))))
✓79.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
11.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓54.5%
(*.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))))))
78.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 re im)) re))))
✓2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
✓39.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓1.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
9.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
2.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (*.f64 re (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))))
53.9%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓78.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
3.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (neg.f64 re))))
76.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (+.f64 re (hypot.f64 re im))))))
✓82.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
54.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))))))))
56.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
✓76.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
50.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 im))))
11.7%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓26.5%
(sqrt.f64 re)
24.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
✓6.1%
#s(literal 0 binary64)
Compiler

Compiled 1 030 to 556 computations (46% saved)

regimes181.0ms (1.7%)

Memory
5.2MiB live, 235.3MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(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 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 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))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 re (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) #s(literal 2 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))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (*.f64 re (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 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)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (neg.f64 re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 im))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (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)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 re im)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (hypot.f64 re im)) re))))
Outputs
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

7 calls:

83.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 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))))
17.0ms
im
16.0ms
re
15.0ms
(*.f64 im im)
Results
AccuracySegmentsBranch
85.9%2re
82.7%1im
86.4%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
86.4%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
86.5%3(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
86.5%3(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
82.7%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes39.0ms (0.4%)

Memory
-25.9MiB live, 98.0MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(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 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 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))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(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 (*.f64 #s(literal 1/2 binary64) (+.f64 re (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (neg.f64 re))) re))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) #s(literal 2 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))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (*.f64 re (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 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)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (neg.f64 re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (log.f64 im))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (neg.f64 re)) re))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) #s(literal 1/4 binary64)) #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

3 calls:

13.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
12.0ms
re
12.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Results
AccuracySegmentsBranch
84.3%2re
85.7%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
85.7%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes13.0ms (0.1%)

Memory
35.8MiB live, 35.8MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(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 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 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))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(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 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(sqrt.f64 re)
Calls

2 calls:

6.0ms
re
6.0ms
im
Results
AccuracySegmentsBranch
64.7%2im
69.9%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-23.8MiB live, 15.6MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(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 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 3 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))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Outputs
(*.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))))))
(sqrt.f64 re)
Calls

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
65.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(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 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
Outputs
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 re)
Calls

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
65.2%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(sqrt.f64 re)
Outputs
#s(literal 0 binary64)
(sqrt.f64 re)
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
26.5%1im
31.2%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
6.1%1im
6.1%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.896606213880937e-144
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.896606213880937e-144
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch512.0ms (4.8%)

Memory
-30.6MiB live, 88.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.466958295221551e-11
1.8511729975899136e-9
494.0ms
-1.1793207339203991e+191
-2.9954535618363564e+181
Samples
479.0ms74×2valid
12.0ms151×0valid
4.0ms16×3valid
2.0ms15×1valid
Compiler

Compiled 426 to 318 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 10.0ms (42.2% of total)
ival-sqrt: 7.0ms (29.5% of total)
ival-add: 4.0ms (16.9% of total)
adjust: 2.0ms (8.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
25.1MiB live, 25.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.466958295221551e-11
1.8511729975899136e-9
Samples
8.0ms112×0valid
Compiler

Compiled 174 to 129 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (57.6% of total)
ival-add: 1.0ms (19.2% of total)
ival-sqrt: 1.0ms (19.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-14.2MiB live, 24.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.466958295221551e-11
1.8511729975899136e-9
Samples
9.0ms112×0valid
Compiler

Compiled 104 to 87 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (56.8% of total)
ival-add: 1.0ms (18.9% of total)
ival-sqrt: 1.0ms (18.9% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-4.915275966412092e-308
3.0239183927986e-309
Samples
7.0ms96×0valid
Compiler

Compiled 74 to 65 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.3% of total)
ival-add: 1.0ms (22.6% of total)
ival-sqrt: 1.0ms (22.6% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
-29.7MiB live, 9.5MiB allocated
Algorithm
1×egg-herbie
Rules
9×*-commutative
6×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068515
183515
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)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (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 -32000000000000000295953472636531150226118730933041491709040684436269008182659788457870557076560070609154620065418911652598201538758980199435964021226046678806398239030608152196284416 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (if (<=.f64 re #s(literal 2030995376952577/9671406556917033397649408 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 8510837770086989/19342813113834066795298816 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (sqrt.f64 re))
(if (<=.f64 re #s(literal 332454600394023/302231454903657293676544 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re))
(if (<=.f64 re #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 0 binary64) (sqrt.f64 re))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64)) (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)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (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 -32000000000000000295953472636531150226118730933041491709040684436269008182659788457870557076560070609154620065418911652598201538758980199435964021226046678806398239030608152196284416 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (if (<=.f64 re #s(literal 2030995376952577/9671406556917033397649408 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 8510837770086989/19342813113834066795298816 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (sqrt.f64 re))
(if (<=.f64 re #s(literal 332454600394023/302231454903657293676544 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re))
(if (<=.f64 re #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 0 binary64) (sqrt.f64 re))
#s(literal 0 binary64)

soundness1.3s (12%)

Memory
57.7MiB live, 1 390.0MiB allocated
Rules
1 007×log1p-expm1-u
789×fma-define
764×log1p-expm1-u
764×expm1-log1p-u
721×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
0201157257
1579755603
036577
1593577
26586577
081430033
1239128525
023253
1338253
23739253
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 723 to 234 computations (67.6% saved)

preprocess13.0ms (0.1%)

Memory
0.3MiB live, 39.1MiB allocated
Remove

(abs im)

Compiler

Compiled 202 to 140 computations (30.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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