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

Time bar (total: 9.4s)

analyze171.0ms (1.8%)

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

Compiled 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 70.0ms (64.7% of total)
ival-sqrt: 20.0ms (18.5% of total)
ival-sub: 6.0ms (5.5% of total)
ival-add: 5.0ms (4.6% of total)
ival->: 5.0ms (4.6% of total)
const: 2.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

sample2.3s (24.2%)

Results
851.0ms6210×0valid
417.0ms1244×2valid
170.0ms616×1valid
132.0ms186×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 416.0ms (39.6% of total)
ival-sqrt: 303.0ms (28.8% of total)
ival-sub: 126.0ms (12% of total)
ival-add: 80.0ms (7.6% of total)
backward-pass: 62.0ms (5.9% of total)
ival->: 46.0ms (4.4% of total)
const: 17.0ms (1.6% of total)
Bogosity

preprocess86.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

(abs im)

explain190.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-1(3.396114338228331e-161 3.8215429807097346e-243)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
310-1(2.097544026231888e-229 4.9583953425729725e-275)(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
300-0-(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
75.0ms80×2valid
43.0ms386×0valid
13.0ms40×1valid
3.0ms3valid
Compiler

Compiled 173 to 38 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 24.0ms (48.6% of total)
ival-sqrt: 11.0ms (22.3% of total)
backward-pass: 5.0ms (10.1% of total)
ival-sub: 4.0ms (8.1% of total)
ival-add: 4.0ms (8.1% of total)
const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
42.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify85.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023339
132339
245339
367339
494339
5123339
6194339
7297339
8423339
9502339
10619339
11691339
12713339
13751339
14800339
15857339
16892339
17902339
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im

localize261.0ms (2.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
accuracy89.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
accuracy89.6%
(-.f64 (hypot.f64 re im) re)
accuracy100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
accuracy89.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
accuracy89.6%
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
accuracy54.9%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
202.0ms193×0valid
23.0ms40×2valid
8.0ms20×1valid
3.0ms3valid
Compiler

Compiled 115 to 18 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-sub: 170.0ms (81.7% of total)
ival-mult: 16.0ms (7.7% of total)
ival-sqrt: 8.0ms (3.8% of total)
ival-hypot: 7.0ms (3.4% of total)
backward-pass: 4.0ms (1.9% of total)
ival-add: 2.0ms (1% of total)
const: 1.0ms (0.5% of total)

series51.0ms (0.5%)

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

60 calls:

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

rewrite535.0ms (5.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
023277
1306272
23128272
Stop Event
node limit
Counts
10 → 363
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))))
(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)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #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 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #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 (hypot.f64 re im) re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #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 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
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(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.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 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.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 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.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 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.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) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(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)) (neg.f64 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)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (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)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) 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 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.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)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 re im) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.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))) (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.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))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 re (sqrt.f64 re)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))

simplify322.0ms (3.4%)

Algorithm
egg-herbie
Rules
789×fma-define
759×associate-*r*
674×associate-*l*
431×distribute-rgt-in
431×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094535820
1269234013
Stop Event
node limit
Counts
603 → 591
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)))))
(+.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 #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))))))))
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(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.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 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.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 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.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 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.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 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.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) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(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)) (neg.f64 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)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (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)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) 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 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.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)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (*.f64 (hypot.f64 re im) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.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))) (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.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))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 re (sqrt.f64 re)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (pow.f64 im #s(literal 2 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)))
(+.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)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(+.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 #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))))))))
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(hypot.f64 im re)
(fabs.f64 (hypot.f64 re im))
(hypot.f64 im re)
(log.f64 (exp.f64 (hypot.f64 re im)))
(hypot.f64 im re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(hypot.f64 im re)
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(hypot.f64 im re)
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(expm1.f64 (log1p.f64 (hypot.f64 im re)))
(hypot.f64 re im)
(hypot.f64 im re)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(hypot.f64 im re)
(exp.f64 (log.f64 (hypot.f64 re im)))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(hypot.f64 im re)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 (hypot.f64 im re) (cbrt.f64 (hypot.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 im re)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (hypot.f64 re im)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.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)))))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 re im) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 (hypot.f64 im re) (cbrt.f64 (hypot.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 im re)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))) (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.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))))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.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)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 re (cbrt.f64 re)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 im (cbrt.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (*.f64 im (sqrt.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 re (sqrt.f64 re)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 re (sqrt.f64 re)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 re (sqrt.f64 re)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (*.f64 im (sqrt.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 im (cbrt.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 re (cbrt.f64 re)) (pow.f64 im #s(literal 2 binary64)))

eval89.0ms (1%)

Compiler

Compiled 14762 to 3185 computations (78.4% saved)

prune109.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New57813591
Fresh000
Picked202
Done000
Total58013593
Accuracy
99.6%
Counts
593 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
26.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
13.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
25.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
53.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 re #s(literal -2 binary64)) im)))))
51.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
5.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
54.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
31.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))
73.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64))))
79.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
74.8%
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
Compiler

Compiled 334 to 252 computations (24.6% saved)

simplify262.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) re)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
cost-diff0
(pow.f64 im #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
cost-diff0
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
cost-diff128
(-.f64 re re)
cost-diff256
(*.f64 #s(literal 2 binary64) (-.f64 re re))
cost-diff256
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
cost-diff0
(*.f64 im #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
cost-diff0
(hypot.f64 im re)
cost-diff0
(-.f64 (hypot.f64 im re) re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
Rules
1127×unsub-neg
1052×fma-define
929×fma-neg
480×distribute-lft-in
475×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034431
165431
2117431
3279431
4448431
5483431
6553431
7653431
8781431
9867431
101030431
111211431
121422431
131865431
143196431
155872431
166380431
176593431
186763431
196777431
207517431
217861431
227861431
Stop Event
node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 2 binary64)
(-.f64 re re)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) im)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
im
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 re re)
#s(literal 0 binary64)
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 #s(literal 2 binary64))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) im)
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
im

localize176.0ms (1.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) im)
accuracy99.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
accuracy100.0%
(pow.f64 im #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
accuracy93.0%
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
accuracy80.2%
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
accuracy100.0%
(-.f64 re re)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 re re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
accuracy100.0%
(*.f64 im #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
accuracy100.0%
(hypot.f64 im re)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
accuracy89.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
accuracy89.6%
(-.f64 (hypot.f64 im re) re)
Results
46.0ms123×0invalid
31.0ms30×2valid
28.0ms70×0valid
26.0ms33×1valid
Compiler

Compiled 146 to 29 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 25.0ms (30.5% of total)
ival-sqrt: 16.0ms (19.5% of total)
ival-sub: 13.0ms (15.9% of total)
ival-div: 10.0ms (12.2% of total)
ival-hypot: 10.0ms (12.2% of total)
backward-pass: 5.0ms (6.1% of total)
ival-pow: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

series52.0ms (0.6%)

Counts
21 → 292
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))>
#<alt (-.f64 (hypot.f64 im re) re)>
#<alt (hypot.f64 im re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 re re))>
#<alt (-.f64 re re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) re))>
#<alt (/.f64 #s(literal 1 binary64) re)>
#<alt (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))>
Outputs
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
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#<alt im>
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#<alt re>
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#<alt im>
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#<alt re>
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#<alt (*.f64 #s(literal -1 binary64) re)>
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#<alt (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
im
@-inf
(* 1/2 (sqrt (* im 2)))
1.0ms
im
@inf
(sqrt (+ (* im im) (* re re)))
1.0ms
re
@-inf
(sqrt (* 1/2 (- (sqrt (+ (* im im) (* re re))) re)))
1.0ms
re
@-inf
(* (sqrt (/ 1 re)) (* (* (sqrt 1/2) (* (sqrt 2) im)) 1/2))
1.0ms
re
@0
(* (sqrt (/ 1 re)) (* (* (sqrt 1/2) (* (sqrt 2) im)) 1/2))

rewrite230.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
556×log1p-expm1-u
552×prod-diff
221×associate-*r*
208×expm1-log1p-u
207×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034345
1564283
26134283
Stop Event
node limit
Counts
21 → 421
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
(-.f64 re re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) im)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 im re)) (*.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 im re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 im re)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 re (hypot.f64 im re)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #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 (hypot.f64 im re) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64)))
(+.f64 (hypot.f64 im re) (neg.f64 re))
(+.f64 (hypot.f64 im re) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 im re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 im re) (neg.f64 (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 im re) (neg.f64 (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 im re)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 im re)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (hypot.f64 im re)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (hypot.f64 im re)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 im re) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 im re))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 im re)) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 im re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 im re))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 im re) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 im re) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 im re) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 im re) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 im re) re)))
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(*.f64 (*.f64 im (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(exp.f64 (neg.f64 (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))

simplify228.0ms (2.4%)

Algorithm
egg-herbie
Rules
664×fma-define
372×*-commutative
327×distribute-rgt-in
325×distribute-lft-in
280×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121922703
1297321334
Stop Event
node limit
Counts
713 → 725
Calls
Call 1
Inputs
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
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(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(exp.f64 (neg.f64 (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re))))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 re))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 re #s(literal 7 binary64)))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/256 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))))) (sqrt.f64 re)))))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 #s(literal 5/128 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 re)))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 im (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 im)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(pow.f64 re #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) re)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) re)
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(/.f64 #s(literal 1 binary64) re)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) re)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (neg.f64 (log.f64 re)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(*.f64 im #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 im #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 im #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 im #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 im))
(pow.f64 im #s(literal 1 binary64))
im
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
im
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
im
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
im
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(fabs.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
im
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
im
(exp.f64 (log.f64 im))
im
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
im

eval84.0ms (0.9%)

Compiler

Compiled 12892 to 2821 computations (78.1% saved)

prune104.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New71114725
Fresh718
Picked415
Done000
Total72216738
Accuracy
99.8%
Counts
738 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
26.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
24.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
26.5%
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
26.6%
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
26.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
26.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
53.4%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im)))))
51.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
79.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
54.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
31.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))))
25.6%
(sqrt.f64 (neg.f64 re))
73.6%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
5.9%
#s(literal 0 binary64)
Compiler

Compiled 314 to 233 computations (25.8% saved)

simplify142.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 re im)
cost-diff0
(-.f64 (/.f64 re im) #s(literal 2 binary64))
cost-diff0
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) im)
cost-diff0
(pow.f64 re #s(literal -1/2 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
cost-diff0
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
cost-diff0
(-.f64 im re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
cost-diff0
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
cost-diff0
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))
cost-diff6528
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
Rules
728×fma-define
553×fma-neg
130×distribute-rgt-in
128×unsub-neg
125×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031513
157511
294511
3146511
4201511
5281511
6477511
7735511
81229511
91863511
102469511
113004511
123160511
133200511
143228511
153228511
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 0 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
#s(literal 1/2 binary64)
(-.f64 im re)
im
re
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
im
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 re #s(literal -1/2 binary64))
re
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 0 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
#s(literal 1/2 binary64)
(-.f64 im re)
im
re
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) im))
im
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 re #s(literal -1/2 binary64))
re
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(sqrt.f64 (fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(*.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(+.f64 (/.f64 re im) #s(literal -2 binary64))
(/.f64 re im)

localize111.0ms (1.2%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) im)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
accuracy100.0%
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 re #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
accuracy99.9%
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
accuracy100.0%
(-.f64 im re)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
accuracy100.0%
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
accuracy100.0%
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
accuracy97.9%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
Results
54.0ms188×0invalid
22.0ms68×0valid
Compiler

Compiled 146 to 26 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 14.0ms (28.5% of total)
ival-hypot: 7.0ms (14.3% of total)
ival-sqrt: 6.0ms (12.2% of total)
ival-pow: 6.0ms (12.2% of total)
ival-exp: 4.0ms (8.2% of total)
ival-sub: 4.0ms (8.2% of total)
ival-log: 3.0ms (6.1% of total)
ival-div: 2.0ms (4.1% of total)
ival-add: 1.0ms (2% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.7%)

Counts
15 → 273
Calls
Call 1
Inputs
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 im re))>
#<alt (-.f64 im re)>
#<alt (*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))>
#<alt (pow.f64 re #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))>
#<alt (-.f64 (/.f64 re im) #s(literal 2 binary64))>
#<alt (/.f64 re im)>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 7/256 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -33/2048 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 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 -1/4 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 (*.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 (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 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.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 (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 -1/4 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 (*.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 (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 (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
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#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) (pow.f64 re #s(literal 2 binary64))))) (+.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) (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.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 (*.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 im) (-.f64 (*.f64 #s(literal 2 binary64) im) im))) (*.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)))) 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))))))>
Calls

81 calls:

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

rewrite242.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1085×log1p-expm1-u
221×expm1-log1p-u
217×add-exp-log
216×add-cube-cbrt
215×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030372
1486368
26584368
Stop Event
node limit
Counts
15 → 336
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(-.f64 im re)
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) im)
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(+.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (hypot.f64 im re) re))))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re)))
(+.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 (-.f64 (hypot.f64 im re) re))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re))))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (-.f64 (hypot.f64 im re) re)) (log.f64 (-.f64 (hypot.f64 im re) re)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 (hypot.f64 im re) re))))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 im re)))
(*.f64 (sqrt.f64 (-.f64 im re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #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 im re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 im im (*.f64 re (+.f64 im re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 im re))
(/.f64 (*.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 im im (*.f64 re (+.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 im re))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64))
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(*.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 re) (cbrt.f64 im)))
(pow.f64 (/.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 re im)) #s(literal 2 binary64))
(pow.f64 (/.f64 im re) #s(literal -1 binary64))
(neg.f64 (/.f64 re (neg.f64 im)))
(neg.f64 (/.f64 (neg.f64 re) im))
(sqrt.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re im))))
(cbrt.f64 (pow.f64 (/.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 re im)))
(log1p.f64 (expm1.f64 (/.f64 re im)))
(exp.f64 (log.f64 (/.f64 re im)))
(exp.f64 (*.f64 (log.f64 (/.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.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 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))

simplify282.0ms (3%)

Algorithm
egg-herbie
Rules
539×distribute-rgt-in
531×distribute-lft-in
500×*-commutative
325×associate-+r+
266×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0153428844
1411427478
Stop Event
node limit
Counts
609 → 818
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 7/256 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -33/2048 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 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 -1/4 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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.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 (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 -1/4 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 (*.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 (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))))))))
(*.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (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)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))
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(*.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.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 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 7/256 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal 7/256 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -33/2048 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -33/2048 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))) (*.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 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 (fma.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 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(*.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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (fma.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)))) (fma.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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(*.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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 im (fma.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)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 im (fma.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)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.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 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 im)))
(*.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 (neg.f64 im) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 im (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (neg.f64 im) (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.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 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 im))
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))

eval306.0ms (3.3%)

Compiler

Compiled 20010 to 4111 computations (79.5% saved)

prune126.0ms (1.3%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New8964900
Fresh1910
Picked055
Done011
Total89719916
Accuracy
99.8%
Counts
916 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
73.3%
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
26.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
24.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
26.5%
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
26.6%
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
26.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
26.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
53.4%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re #s(literal -1/2 binary64)) im))))
51.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
79.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
54.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
31.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))))
25.6%
(sqrt.f64 (neg.f64 re))
73.6%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
23.9%
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
49.1%
(exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1/2 binary64)))
5.9%
#s(literal 0 binary64)
Compiler

Compiled 337 to 253 computations (24.9% saved)

simplify171.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) re)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
cost-diff12800
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
cost-diff12800
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
cost-diff0
(neg.f64 re)
cost-diff0
(log.f64 (neg.f64 re))
cost-diff0
(*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))
cost-diff6528
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
cost-diff0
(sqrt.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) im)
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
cost-diff0
(neg.f64 re)
cost-diff0
(sqrt.f64 (neg.f64 re))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
cost-diff0
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
cost-diff0
(E.f64)
cost-diff0
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
Rules
553×fma-define
355×fma-neg
108×distribute-lft-in
101×distribute-lft-neg-in
97×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030413
154413
282413
3120413
4149413
5183413
6250413
7350413
8468413
9545413
10674413
11762413
12800413
13851413
14910413
15972413
161098413
171407413
181933413
192198413
202484413
212673413
222854413
232956413
242984413
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(E.f64)
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
re
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
(sqrt.f64 re)
re
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))
(log.f64 (neg.f64 re))
(neg.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
Outputs
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(E.f64)
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
re
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im
(sqrt.f64 re)
re
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 re))
(*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (neg.f64 re)))
(log.f64 (neg.f64 re))
(neg.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 #s(literal 1/2 binary64) im)
(log.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
im

localize118.0ms (1.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) im)
accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
accuracy100.0%
(log.f64 (*.f64 #s(literal 1/2 binary64) im))
accuracy100.0%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
accuracy100.0%
(*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))
accuracy100.0%
(neg.f64 re)
accuracy100.0%
(log.f64 (neg.f64 re))
accuracy100.0%
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) im)
accuracy100.0%
(sqrt.f64 re)
accuracy100.0%
(sqrt.f64 (neg.f64 re))
accuracy100.0%
(neg.f64 re)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))
accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
accuracy100.0%
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
accuracy3.1%
(E.f64)
Results
81.0ms256×0invalid
Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 10.0ms (19.6% of total)
ival-log: 9.0ms (17.6% of total)
ival-mult: 7.0ms (13.7% of total)
ival-sqrt: 7.0ms (13.7% of total)
ival-hypot: 5.0ms (9.8% of total)
ival-exp: 4.0ms (7.8% of total)
ival-div: 3.0ms (5.9% of total)
ival-e: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
const: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series242.0ms (2.6%)

Counts
14 → 184
Calls
Call 1
Inputs
#<alt (pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))>
#<alt (E.f64)>
#<alt (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))>
#<alt (sqrt.f64 (neg.f64 re))>
#<alt (neg.f64 re)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (sqrt.f64 re)>
#<alt (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))>
#<alt (log.f64 (neg.f64 re))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) im))>
Outputs
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (log.f64 (E.f64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (log.f64 (E.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (log.f64 (E.f64)) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 3/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))))))))))>
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Calls

51 calls:

TimeVariablePointExpression
51.0ms
im
@inf
(log (* 1/2 im))
48.0ms
re
@-inf
(log (sqrt (* 1/2 (- (sqrt (+ (* im im) (* re re))) re))))
33.0ms
re
@-inf
(* (log (neg re)) 1/2)
33.0ms
re
@0
(* (log (neg re)) 1/2)
13.0ms
re
@inf
(* (log (neg re)) 1/2)

rewrite253.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1009×log1p-expm1-u
610×prod-diff
302×expm1-log1p-u
168×add-exp-log
167×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030235
1442199
25108199
Stop Event
node limit
Counts
14 → 367
Calls
Call 1
Inputs
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(E.f64)
(log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) im)
(sqrt.f64 re)
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64))
(log.f64 (neg.f64 re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log.f64 (*.f64 #s(literal 1/2 binary64) im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 im re))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 im re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))) #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 im re)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
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(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))))
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(*.f64 (sqrt.f64 (log.f64 re)) (sqrt.f64 (log.f64 re)))
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(exp.f64 (*.f64 (log.f64 (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
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(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 re) im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 (sqrt.f64 re))))
(neg.f64 (/.f64 (*.f64 im #s(literal -1/2 binary64)) (sqrt.f64 re)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) re))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
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(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im))
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(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
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(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
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(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))

simplify279.0ms (3%)

Algorithm
egg-herbie
Rules
716×associate-*r*
640×associate-*l*
382×fma-define
337×times-frac
259×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092321596
1222117921
Stop Event
node limit
Counts
551 → 500
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 re)))
(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))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sqrt.f64 re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 re)))) (sqrt.f64 (log.f64 (sqrt.f64 re))))
(sqrt.f64 re)
(fabs.f64 (sqrt.f64 re))
(log.f64 (exp.f64 (sqrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 re))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 re)))
(log1p.f64 (expm1.f64 (sqrt.f64 re)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 re)))
(+.f64 (log.f64 (pow.f64 re #s(literal 1/4 binary64))) (log.f64 (pow.f64 re #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 re)) (log.f64 (cbrt.f64 (sqrt.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 re)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 re) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 re))))
(log1p.f64 (-.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 re))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 re)) (log.f64 (sqrt.f64 re)))
(+.f64 #s(literal 0 binary64) (log.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (log.f64 (cbrt.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 (log.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 re))
(*.f64 (cbrt.f64 (log.f64 re)) (cbrt.f64 (pow.f64 (log.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 re) im)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 re) im))))
(/.f64 (*.f64 im #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 re)))
(/.f64 (neg.f64 (*.f64 im #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (sqrt.f64 re))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (sqrt.f64 re))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 re) im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 (sqrt.f64 re))))
(neg.f64 (/.f64 (*.f64 im #s(literal -1/2 binary64)) (sqrt.f64 re)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) re))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im))
(+.f64 (log.f64 im) (log.f64 #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(pow.f64 (E.f64) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (log.f64 (E.f64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (E.f64) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (E.f64) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64))))) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/8 binary64))))
(+.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (log.f64 (E.f64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (log.f64 (E.f64)) (+.f64 (log.f64 im) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (log.f64 (E.f64)) (-.f64 (*.f64 #s(literal 12 binary64) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 3/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))))))))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))
(pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 3 binary64))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 2 binary64))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im)) #s(literal 3 binary64)))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(log1p.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)))
(log1p.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) #s(literal 1 binary64)))
(log.f64 (*.f64 im #s(literal 1/2 binary64)))

eval104.0ms (1.1%)

Compiler

Compiled 17560 to 3244 computations (81.5% saved)

prune177.0ms (1.9%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New7995804
Fresh268
Picked145
Done066
Total80221823
Accuracy
99.8%
Counts
823 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.5%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
73.3%
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
26.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
24.6%
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 re))
26.1%
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
18.2%
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
24.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))))
26.5%
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
26.6%
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
52.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
53.4%
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re #s(literal -1/2 binary64)) im))))
51.8%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
79.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
54.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
31.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))))
25.6%
(sqrt.f64 (neg.f64 re))
3.1%
(sqrt.f64 re)
73.6%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
23.9%
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
49.1%
(exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1/2 binary64)))
5.9%
#s(literal 0 binary64)
Compiler

Compiled 595 to 319 computations (46.4% saved)

regimes224.0ms (2.4%)

Counts
38 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im)))))
(sqrt.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re #s(literal -1/2 binary64)) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 re #s(literal -2 binary64)) im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) im))))
(exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (exp.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 im)))))
Outputs
(*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
Calls

7 calls:

141.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
30.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
11.0ms
im
10.0ms
re
10.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
87.5%2re
81.3%2im
90.5%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
90.5%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
90.7%2(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
90.7%2(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
79.2%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes19.0ms (0.2%)

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

2 calls:

12.0ms
re
6.0ms
im
Results
AccuracySegmentsBranch
62.3%2im
78.7%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
78.6%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
78.6%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
66.2%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

8.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
25.6%1im
30.1%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -2.7b remaining (-4.5%)

Threshold costs -2.7b (-4.5%)

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

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
5.9%1im
5.9%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4424819875860502e-287
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch47.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
4.7308754080871944e-110
5.029771308327196e-103
12.0ms
-1.3741079321514994e-7
-1.2601393313764053e-8
Results
16.0ms187×0valid
12.0ms39×2valid
2.0ms14×1valid
Compiler

Compiled 283 to 223 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (52.1% of total)
ival-sqrt: 5.0ms (23.7% of total)
ival-add: 2.0ms (9.5% of total)
ival-sub: 2.0ms (9.5% of total)
backward-pass: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)

bsearch56.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
4.7308754080871944e-110
5.029771308327196e-103
11.0ms
-1.3741079321514994e-7
-1.2601393313764053e-8
Results
16.0ms187×0valid
8.0ms32×2valid
4.0ms21×1valid
Compiler

Compiled 274 to 214 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (46.7% of total)
ival-sqrt: 5.0ms (25.9% of total)
ival-add: 2.0ms (10.4% of total)
ival-sub: 2.0ms (10.4% of total)
backward-pass: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
4.7308754080871944e-110
5.029771308327196e-103
11.0ms
-1.3741079321514994e-7
-1.2601393313764053e-8
Results
16.0ms187×0valid
15.0ms39×2valid
3.0ms14×1valid
Compiler

Compiled 274 to 214 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 14.0ms (57.2% of total)
ival-sqrt: 5.0ms (20.4% of total)
ival-sub: 2.0ms (8.2% of total)
ival-add: 2.0ms (8.2% of total)
backward-pass: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)

bsearch96.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-1.3741079321514994e-7
-1.2601393313764053e-8
Results
8.0ms96×0valid
Compiler

Compiled 100 to 82 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (54.9% of total)
ival-sub: 1.0ms (18.3% of total)
ival-sqrt: 1.0ms (18.3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-8.547970955725298e-308
3.252886316365517e-309
Results
8.0ms96×0valid
Compiler

Compiled 82 to 70 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.3% of total)
ival-sub: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-sqrt: 1.0ms (18.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064421
177421
282421
383421
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(if (<=.f64 re #s(literal -6800207735332289/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 7060839510393891/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))))
(if (<=.f64 re #s(literal -6346860552976803/151115727451828646838272 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -2568967366681087/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 8230921486402021/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal -1662273001970115/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(if (<=.f64 re #s(literal -6800207735332289/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 7060839510393891/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64))))))
(if (<=.f64 re #s(literal -6346860552976803/151115727451828646838272 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -6346860552976803/151115727451828646838272 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -2568967366681087/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 8230921486402021/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal -1662273001970115/75557863725914323419136 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness835.0ms (8.9%)

Rules
1076×log1p-expm1-u
1076×expm1-log1p-u
789×fma-define
759×associate-*r*
674×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094535820
1269234013
023277
1306272
23128272
034345
1564283
26134283
0121922703
1297321334
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 519 to 234 computations (54.9% saved)

preprocess96.0ms (1%)

Remove

(abs im)

Compiler

Compiled 394 to 208 computations (47.2% saved)

end0.0ms (0%)

Profiling

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