math.sin on complex, imaginary part

Time bar (total: 8.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 15 to 12 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.8s (35.2%)

Results
660.0ms4193×0valid
1.5s4063×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-exp: 609.0ms (34.8% of total)
ival-cos: 474.0ms (27.1% of total)
ival-sub: 271.0ms (15.5% of total)
ival-mult: 190.0ms (10.9% of total)
backward-pass: 183.0ms (10.5% of total)
const: 23.0ms (1.3% of total)
Bogosity

preprocess225.0ms (2.8%)

Algorithm
egg-herbie
Rules
1396×fma-define
541×fma-neg
230×times-frac
216×distribute-lft-in
196×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036324
186308
2244308
3768304
41960294
53017294
63397294
73805294
84502294
95011294
105176294
115270294
125270294
135270294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (cos.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(abs re)

(negabs im)

explain184.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-re
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-im
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-(exp.f64 im)
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
110.0ms266×1valid
31.0ms246×0valid
Compiler

Compiled 96 to 35 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-exp: 39.0ms (44.7% of total)
ival-cos: 20.0ms (22.9% of total)
ival-mult: 11.0ms (12.6% of total)
ival-sub: 9.0ms (10.3% of total)
backward-pass: 6.0ms (6.9% of total)
const: 2.0ms (2.3% of total)

eval1.0ms (0%)

Compiler

Compiled 35 to 16 computations (54.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize176.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
accuracy51.1%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Rules
699×fma-define
303×fma-neg
114×distribute-lft-in
98×associate-*r*
83×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016152
128152
259152
3143150
4271150
5450150
6688150
71082150
81631150
92158150
102299150
112402150
122416150
132416150
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re
Results
48.0ms133×1valid
14.0ms123×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 20.0ms (47.1% of total)
ival-cos: 10.0ms (23.5% of total)
ival-mult: 5.0ms (11.8% of total)
backward-pass: 3.0ms (7.1% of total)
ival-neg: 2.0ms (4.7% of total)
ival-sub: 2.0ms (4.7% of total)
const: 1.0ms (2.4% of total)

series10.0ms (0.1%)

Counts
6 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))>
#<alt (cos.f64 re)>
#<alt (exp.f64 im)>
#<alt (exp.f64 (neg.f64 im))>
#<alt (neg.f64 im)>
Outputs
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
im
@inf
(* (- (exp (neg im)) (exp im)) (cos re))
1.0ms
re
@0
(* (- (exp (neg im)) (exp im)) (cos re))
1.0ms
re
@0
(cos re)
1.0ms
im
@0
(* (- (exp (neg im)) (exp im)) (cos re))
1.0ms
re
@inf
(* (- (exp (neg im)) (exp im)) (cos re))

rewrite140.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
77×add-exp-log
77×add-log-exp
77×log1p-expm1-u
77×expm1-log1p-u
75×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01499
117499
2264199
Stop Event
unsound
Counts
6 → 55
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(cos.f64 re)
(exp.f64 im)
(exp.f64 (neg.f64 im))
(neg.f64 im)
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify102.0ms (1.3%)

Algorithm
egg-herbie
Rules
884×unsub-neg
611×distribute-lft-in
584×distribute-rgt-in
553×fma-define
490×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642251
13962078
211002015
336081955
471081955
Stop Event
node limit
Counts
115 → 112
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(*.f64 im (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -1/60 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))))
(*.f64 im (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (exp.f64 im)))
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/24 binary64)))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re)) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 re) #s(literal 4 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (exp.f64 (cos.f64 re)) #s(literal -5 binary64)))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval15.0ms (0.2%)

Compiler

Compiled 1923 to 513 computations (73.3% saved)

prune17.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1066112
Fresh000
Picked101
Done000
Total1076113
Accuracy
99.9%
Counts
113 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
39.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
89.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
55.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
3.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
4.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
Compiler

Compiled 146 to 114 computations (21.9% saved)

localize286.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff128
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal -2 binary64) im)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
cost-diff192
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
cost-diff0
(cos.f64 re)
cost-diff6528
(*.f64 #s(literal 0 binary64) (cos.f64 re))
cost-diff6656
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal -2 binary64) (cos.f64 re))
cost-diff192
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
cost-diff-6080
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
cost-diff0
(pow.f64 im #s(literal 2 binary64))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy51.1%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
accuracy100.0%
(*.f64 #s(literal -2 binary64) im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
accuracy100.0%
(*.f64 #s(literal 0 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
accuracy99.9%
(*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
accuracy99.8%
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
accuracy99.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
Rules
539×distribute-lft-in
526×cancel-sign-sub-inv
516×distribute-rgt-in
452×fma-define
418×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037549
184539
2169539
3414535
41138533
53092533
65038533
77558533
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 re))
#s(literal -2 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 0 binary64) (cos.f64 re))
#s(literal 0 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/2 binary64))) im))
(*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)))
(*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
im
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64))
#s(literal -1/60 binary64)
#s(literal 1/3 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
#s(literal 1/2 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
#s(literal -2 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 0 binary64) (cos.f64 re))
#s(literal 0 binary64)
#s(literal 0 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
(*.f64 im (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
#s(literal -2 binary64)
im
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1 binary64)
Results
108.0ms133×1valid
38.0ms123×0valid
Compiler

Compiled 190 to 32 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 38.0ms (42.6% of total)
ival-exp: 19.0ms (21.3% of total)
ival-cos: 10.0ms (11.2% of total)
backward-pass: 7.0ms (7.8% of total)
ival-sub: 6.0ms (6.7% of total)
ival-pow: 5.0ms (5.6% of total)
ival-neg: 2.0ms (2.2% of total)
const: 2.0ms (2.2% of total)

series37.0ms (0.5%)

Counts
14 → 167
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))>
#<alt (*.f64 #s(literal 0 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))>
#<alt (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/60 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/60 binary64)))>
#<alt (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 #s(literal 1/60 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt #s(literal -2 binary64)>
#<alt (-.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))) #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (cos.f64 re))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/360 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) im) (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
re
@0
(* 1/2 (* (* -2 im) (cos re)))
3.0ms
im
@0
(* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re))
2.0ms
re
@0
(* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re))
1.0ms
re
@inf
(* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re))
1.0ms
re
@0
(* 1/2 (* (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (cos re)))

rewrite55.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
248×associate-*r*
209×log1p-expm1-u
209×expm1-log1p-u
204×add-exp-log
203×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036462
1537462
27571462
Stop Event
unsound
Counts
14 → 700
Calls
Call 1
Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 0 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -2 binary64) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))
Outputs
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
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simplify222.0ms (2.8%)

Algorithm
egg-herbie
Rules
525×distribute-rgt-in
518×distribute-lft-in
382×fma-neg
372×times-frac
268×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02727219
17797000
226186390
354286272
478746272
Stop Event
node limit
Counts
867 → 213
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
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#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -57/23 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -7/10 binary64)
#s(literal -7/20 binary64)
#s(literal -343/1000 binary64)
#s(literal -19/60 binary64)
#s(literal -3/16 binary64)
#s(literal -23/180 binary64)
#s(literal -49/400 binary64)
#s(literal -29/540 binary64)
#s(literal -1/19 binary64)
#s(literal -1/60 binary64)
#s(literal -1/180 binary64)
#s(literal -12167/5832000 binary64)
#s(literal -24389/157464000 binary64)
#s(literal -1/216000 binary64)
#s(literal -1/5832000 binary64)
#s(literal 0 binary64)
#s(literal 1/32400 binary64)
#s(literal 1/3600 binary64)
#s(literal 841/291600 binary64)
#s(literal 7/1200 binary64)
#s(literal 667/97200 binary64)
#s(literal 529/32400 binary64)
#s(literal 203/10800 binary64)
#s(literal 6859/216000 binary64)
#s(literal 161/3600 binary64)
#s(literal 29/540 binary64)
#s(literal 1/10 binary64)
#s(literal 361/3600 binary64)
#s(literal 49/400 binary64)
#s(literal 23/180 binary64)
#s(literal 1/4 binary64)
#s(literal 19/60 binary64)
#s(literal 7/20 binary64)
#s(literal 49/100 binary64)
#s(literal 1/2 binary64)
#s(literal 7/10 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 re))))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 re))))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/60 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (/.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (/.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) (+.f64 (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (/.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) (+.f64 (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/60 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 #s(literal -1/60 binary64) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
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#s(literal 3/2 binary64)
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#s(literal 512 binary64)

eval52.0ms (0.6%)

Compiler

Compiled 6708 to 1405 computations (79.1% saved)

prune73.0ms (0.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New38019399
Fresh011
Picked505
Done000
Total38520405
Accuracy
100.0%
Counts
405 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (*.f64 im (cos.f64 re)))
40.0%
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
55.2%
(*.f64 (cos.f64 re) (neg.f64 im))
9.4%
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
39.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
38.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
48.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
31.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
27.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
55.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
32.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
52.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
2.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
2.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
3.6%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
4.3%
(neg.f64 (cos.f64 re))
26.9%
(neg.f64 im)
3.5%
#s(literal -1 binary64)
Compiler

Compiled 408 to 322 computations (21.1% saved)

localize240.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 26 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff-5952
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(pow.f64 im #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
cost-diff0
(fma.f64 re re #s(literal -2 binary64))
cost-diff0
(*.f64 im (fma.f64 re re #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
cost-diff128
(*.f64 #s(literal 8 binary64) #s(literal 1 binary64))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
cost-diff0
(pow.f64 im #s(literal 3 binary64))
cost-diff0
(pow.f64 im #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
cost-diff0
(cos.f64 re)
accuracy100.0%
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
accuracy99.6%
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 re re #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
accuracy90.8%
(*.f64 im (fma.f64 re re #s(literal -2 binary64)))
accuracy100.0%
(*.f64 #s(literal 8 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 im (cos.f64 re))
accuracy99.9%
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
accuracy99.5%
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
accuracy99.4%
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
Rules
842×fma-define
632×distribute-lft-neg-in
535×distribute-rgt-neg-in
464×sub-neg
360×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039476
184447
2201447
3525439
41445439
53320439
65102439
76518439
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (*.f64 im (cos.f64 re)))
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(cos.f64 re)
re
(+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 im (cos.f64 re))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 8 binary64) #s(literal 1 binary64))
#s(literal 8 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
#s(literal 1/2 binary64)
(*.f64 im (fma.f64 re re #s(literal -2 binary64)))
im
(fma.f64 re re #s(literal -2 binary64))
re
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (*.f64 im (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)) (neg.f64 im))))
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))
(cos.f64 re)
re
(+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
#s(literal 4 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 8 binary64) #s(literal 1 binary64))
#s(literal 8 binary64)
#s(literal 8 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64))))
(*.f64 (fma.f64 re re #s(literal -2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(*.f64 im (fma.f64 re re #s(literal -2 binary64)))
im
(fma.f64 re re #s(literal -2 binary64))
re
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
Results
78.0ms256×0valid
Compiler

Compiled 163 to 32 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.3% of total)
ival-cos: 9.0ms (20.5% of total)
ival-pow: 8.0ms (18.2% of total)
ival-sub: 3.0ms (6.8% of total)
ival-fma: 3.0ms (6.8% of total)
const: 2.0ms (4.6% of total)
ival-add: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.4%)

Counts
15 → 157
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))>
#<alt (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) #s(literal 1 binary64))>
#<alt (*.f64 im (fma.f64 re re #s(literal -2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))>
#<alt (fma.f64 re re #s(literal -2 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 3 binary64))>
Outputs
#<alt (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/6 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) #s(literal 1/6 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(literal 1/6 binary64))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
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#<alt im>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(* (* (cos re) (+ -1/6 (* (pow im 2) -1/120))) (pow im 3))
1.0ms
im
@-inf
(* (* im (- (* -1/3 (pow im 2)) 2)) 1)
1.0ms
re
@0
(* (* (cos re) (+ -1/6 (* (pow im 2) -1/120))) (pow im 3))
1.0ms
im
@0
(* im (+ (* re re) -2))
1.0ms
re
@0
(* (cos re) (+ -1/6 (* (pow im 2) -1/120)))

rewrite247.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1071×log1p-expm1-u
360×prod-diff
323×expm1-log1p-u
211×associate-*r*
170×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037312
1431304
25150304
Stop Event
node limit
Counts
15 → 235
Calls
Call 1
Inputs
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 8 binary64) #s(literal 1 binary64))
(*.f64 im (fma.f64 re re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(fma.f64 re re #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))) (*.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) #s(literal -1/216 binary64)) (cos.f64 re)) (-.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (cos.f64 re)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/14400 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/120 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))) (pow.f64 im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 re re #s(literal -2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 re re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 im #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 im #s(literal 1/2 binary64))) (fma.f64 re re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re re #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 re re #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 re re #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re re #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re re #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 re re #s(literal -2 binary64))) (sqrt.f64 (fma.f64 re re #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re re #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re re #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re re #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re re #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re re #s(literal -2 binary64))))
(exp.f64 (log.f64 (fma.f64 re re #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re re #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(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 im #s(literal 6 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 (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 im (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)))
(*.f64 (*.f64 im (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1 binary64)))

simplify187.0ms (2.3%)

Algorithm
egg-herbie
Rules
826×times-frac
598×associate-*r*
535×associate-*l*
309×exp-prod
262×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060112168
1134511987
2488711735
Stop Event
node limit
Counts
392 → 362
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) #s(literal 1/6 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(literal 1/6 binary64))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
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(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(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 im #s(literal 6 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 (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 im (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)))
(*.f64 (*.f64 im (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))) #s(literal 1/6 binary64))
(+.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/6 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(literal 1/6 binary64))
(+.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/24 binary64))))))) #s(literal -1/6 binary64))
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(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (/.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (/.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) im))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (*.f64 im (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 im #s(literal 3 binary64))
(sqrt.f64 (pow.f64 im #s(literal 6 binary64)))
(fabs.f64 (pow.f64 im #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))))
(pow.f64 im #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 3 binary64)))))
(pow.f64 im #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 im #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 3 binary64))))
(pow.f64 im #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)))
(pow.f64 im #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 3 binary64))

eval74.0ms (0.9%)

Compiler

Compiled 9099 to 1806 computations (80.2% saved)

prune73.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New4447451
Fresh21315
Picked415
Done000
Total45021471
Accuracy
100.0%
Counts
471 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re)))
88.8%
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
48.2%
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
11.1%
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
40.0%
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
55.2%
(*.f64 (cos.f64 re) (neg.f64 im))
9.4%
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
39.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
38.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
48.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
55.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
52.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
2.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
3.6%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
26.1%
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
4.3%
(neg.f64 (cos.f64 re))
26.9%
(neg.f64 im)
2.3%
#s(literal 4 binary64)
3.5%
#s(literal -1 binary64)
Compiler

Compiled 421 to 329 computations (21.9% saved)

localize333.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 im)
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(fma.f64 re re #s(literal -2 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
cost-diff-12480
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff-6336
(*.f64 im im)
cost-diff-6336
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
cost-diff-5952
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
cost-diff0
(cos.f64 re)
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
cost-diff13120
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy51.1%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(fma.f64 re re #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
accuracy100.0%
(*.f64 im im)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
accuracy99.6%
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
accuracy99.5%
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
accuracy99.4%
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
accuracy99.1%
(cbrt.f64 (*.f64 (cos.f64 re) im))
accuracy98.8%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
Rules
780×fma-define
630×distribute-lft-neg-in
604×sub-neg
534×distribute-rgt-neg-in
365×cancel-sign-sub-inv
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042561
194532
2219532
3545526
41441522
53269522
65457522
77354522
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(cos.f64 re)
re
(+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) im))
(*.f64 (cos.f64 re) im)
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 re re #s(literal -2 binary64))
re
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 3 binary64)) (neg.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))
(*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))))
(*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(cos.f64 re)
re
(+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(*.f64 (cos.f64 re) im)
(cbrt.f64 (*.f64 (cos.f64 re) im))
(*.f64 (cos.f64 re) im)
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 re re #s(literal -2 binary64))
re
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Results
119.0ms133×1valid
47.0ms123×0valid
Compiler

Compiled 181 to 36 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 32.0ms (28.7% of total)
ival-exp: 22.0ms (19.7% of total)
ival-pow: 19.0ms (17% of total)
ival-cos: 10.0ms (9% of total)
backward-pass: 8.0ms (7.2% of total)
ival-sub: 6.0ms (5.4% of total)
ival-fma: 4.0ms (3.6% of total)
ival-cbrt: 3.0ms (2.7% of total)
ival-add: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
const: 2.0ms (1.8% of total)

series33.0ms (0.4%)

Counts
9 → 144
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 (cos.f64 re) im))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 im im))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 im im)>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))>
#<alt (-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))>
Outputs
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 im (cos.f64 re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))>
#<alt (cbrt.f64 im)>
#<alt (+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))))))))>
#<alt (+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) im) (+.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))) (*.f64 #s(literal -1/216 binary64) im)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im)))))))))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (cbrt.f64 (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) im)>
#<alt (-.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) im)))) im)>
#<alt (-.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/24 binary64) im)))) (*.f64 #s(literal -1/2 binary64) im)))) im)>
#<alt (-.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/720 binary64) im)))) (*.f64 #s(literal 1/24 binary64) im)))) (*.f64 #s(literal -1/2 binary64) im)))) im)>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) (cos.f64 re)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

36 calls:

TimeVariablePointExpression
8.0ms
re
@0
(- (* (* (cos re) (+ -1/6 (* (pow im 2) -1/120))) (pow im 3)) (pow (cbrt (* (cos re) im)) 3))
3.0ms
re
@0
(cbrt (* (cos re) im))
3.0ms
im
@-inf
(pow (cbrt (* (cos re) im)) 3)
2.0ms
re
@inf
(cbrt (* (cos re) im))
2.0ms
im
@inf
(cbrt (* (cos re) im))

rewrite306.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1234×log1p-expm1-u
354×expm1-log1p-u
215×associate-*r*
184×add-exp-log
184×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036244
1496227
25852227
Stop Event
node limit
Counts
9 → 197
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) im))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im im)
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 re) im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) im))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (cbrt.f64 (cos.f64 re)) (*.f64 (cbrt.f64 im) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) im))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) im))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (cos.f64 re)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) (sqrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re))) (cbrt.f64 im))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64))) (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 im))
(*.f64 (cbrt.f64 im) (cbrt.f64 (cos.f64 re)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) im)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) im)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (neg.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 (cos.f64 re) (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 (cos.f64 re) (neg.f64 im)))) (-.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im))))
(pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (pow.f64 (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) #s(literal 2 binary64)) (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (pow.f64 im #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (pow.f64 im #s(literal 3/2 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify190.0ms (2.4%)

Algorithm
egg-herbie
Rules
740×distribute-lft-in
442×cancel-sign-sub-inv
438×fma-neg
417×associate-*r*
367×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054612779
1132812452
2449712407
Stop Event
node limit
Counts
341 → 297
Calls
Call 1
Inputs
im
(+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(cbrt.f64 im)
(+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))))))))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) im) (+.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))) (*.f64 #s(literal -1/216 binary64) im)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im)))))))))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
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(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (neg.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 (cos.f64 re) (neg.f64 im))) (*.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 (cos.f64 re) (neg.f64 im)))) (-.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im))))
(pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (pow.f64 (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) #s(literal 2 binary64)) (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) (*.f64 (cos.f64 re) (neg.f64 im)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (pow.f64 im #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (pow.f64 im #s(literal 3/2 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) #s(literal -8 binary64)) im) (+.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
im
(+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 im #s(literal 1/24 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal -1/2 binary64))) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) im))))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 im #s(literal -1/720 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/24 binary64))))) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal -1/720 binary64)))) (*.f64 im #s(literal -1/2 binary64))) im)
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 im (cos.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (cos.f64 re))))
(*.f64 im (cos.f64 re))
(cbrt.f64 im)
(+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (cbrt.f64 im) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 im))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 im)) (cbrt.f64 im))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))))))))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cbrt.f64 im) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal -1/24 binary64))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (cbrt.f64 im) #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 im (*.f64 #s(literal -1/24 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))) (cbrt.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (cbrt.f64 im) #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -1/72 binary64))))) (cbrt.f64 im))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) im) (+.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im))) (*.f64 #s(literal -1/216 binary64) im)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/24 binary64) im) (*.f64 #s(literal 1/12 binary64) im)))))))))
(+.f64 (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cbrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im #s(literal -1/24 binary64)) (*.f64 im #s(literal -1/216 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -1/24 binary64)))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (+.f64 (*.f64 im #s(literal -1/24 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im #s(literal -1/720 binary64)) (fma.f64 im #s(literal -1/216 binary64) (*.f64 im #s(literal 1/72 binary64))))))) (*.f64 (cbrt.f64 im) #s(literal -1/6 binary64))) (cbrt.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (+.f64 (*.f64 im #s(literal -1/24 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 im #s(literal -1/720 binary64) (*.f64 im #s(literal -1/72 binary64))) (*.f64 im #s(literal 1/216 binary64)))))) (*.f64 (cbrt.f64 im) #s(literal -1/6 binary64))) (cbrt.f64 im))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(cbrt.f64 (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 #s(literal -1 binary64))))
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eval324.0ms (4.1%)

Compiler

Compiled 11815 to 2076 computations (82.4% saved)

prune144.0ms (1.8%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New5156521
Fresh41115
Picked235
Done011
Total52121542
Accuracy
100.0%
Counts
542 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) im)
62.2%
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))) #s(literal 3 binary64)))
83.4%
(-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
48.2%
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
11.1%
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
8.8%
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
40.0%
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
55.2%
(*.f64 (cos.f64 re) (neg.f64 im))
38.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
39.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
48.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
55.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
2.3%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.6%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
26.1%
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
4.3%
(neg.f64 (cos.f64 re))
26.9%
(neg.f64 im)
2.3%
#s(literal 4 binary64)
3.5%
#s(literal -1 binary64)
Compiler

Compiled 596 to 292 computations (51% saved)

regimes71.0ms (0.9%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (*.f64 im (cos.f64 re)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))) #s(literal 3 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re)))
Calls

6 calls:

13.0ms
im
12.0ms
re
12.0ms
(cos.f64 re)
11.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
90.0%1re
99.9%2im
98.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
90.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
90.0%1(cos.f64 re)
99.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes21.0ms (0.3%)

Counts
34 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
Calls

2 calls:

10.0ms
im
8.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.9%2im
99.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re)))
Calls

1 calls:

9.0ms
im
Results
AccuracySegmentsBranch
99.3%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
27 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64)))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))
Calls

1 calls:

9.0ms
im
Results
AccuracySegmentsBranch
98.3%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

3 calls:

8.0ms
im
7.0ms
re
7.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
72.2%4(cos.f64 re)
68.5%2re
88.5%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/216000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 #s(literal -1/5832000 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
Calls

1 calls:

7.0ms
im
Results
AccuracySegmentsBranch
88.0%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 re re #s(literal -2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 re re #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
im
Results
AccuracySegmentsBranch
75.9%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
re
4.0ms
(cos.f64 re)
4.0ms
im
Results
AccuracySegmentsBranch
48.2%1re
48.2%1(cos.f64 re)
48.2%1im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)))
Outputs
(neg.f64 im)
Calls

2 calls:

3.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
26.9%1im
26.9%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.3b remaining (-2%)

Threshold costs -1.3b (-2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 4 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

2.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
3.5%1im
3.5%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6599522.015028953
-0.008318756944930006
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0036888949508040447
-2.09176319598825e-8
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.004159366479386252
15.70250778240877
Results
13.0ms128×0valid
Compiler

Compiled 195 to 151 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (41.7% of total)
ival-exp: 2.0ms (20.9% of total)
ival-mult: 2.0ms (20.9% of total)
ival-sub: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.1571546401684974e+58
6.5208398206268585e+63
20.0ms
1.0458815936898254e-8
0.00184444642960604
Results
30.0ms288×0valid
Compiler

Compiled 388 to 312 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (37.8% of total)
ival-exp: 4.0ms (21.6% of total)
ival-mult: 4.0ms (21.6% of total)
ival-sub: 3.0ms (16.2% of total)
const: 1.0ms (5.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.0458815936898254e-8
0.00184444642960604
Results
15.0ms144×0valid
Compiler

Compiled 190 to 150 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 3.0ms (28.5% of total)
ival-sub: 2.0ms (19% of total)
ival-exp: 2.0ms (19% of total)
ival-mult: 2.0ms (19% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.004159366479386252
15.70250778240877
Results
14.0ms128×0valid
Compiler

Compiled 171 to 135 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (34.7% of total)
ival-exp: 2.0ms (23.1% of total)
ival-mult: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.1043068148229011e-11
1.0458815936898254e-8
Results
9.0ms97×0valid
7.0ms31×1valid
Compiler

Compiled 211 to 167 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 5.0ms (41.3% of total)
ival-exp: 3.0ms (24.8% of total)
ival-mult: 2.0ms (16.5% of total)
ival-sub: 2.0ms (16.5% of total)
backward-pass: 1.0ms (8.3% of total)
const: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
22×*-commutative
13×sub-neg
12×+-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078662
1117662
2137662
3147662
4153662
5154662
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -5000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 (cos.f64 re) (neg.f64 im)))
(if (<=.f64 im #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re))))
(if (<=.f64 im #s(literal 7101996468378177/9223372036854775808 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(if (<=.f64 im #s(literal 3504881374004815/2305843009213693952 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(neg.f64 im)
#s(literal -1 binary64)
Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -5000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -5000000 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) (*.f64 im (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 (cos.f64 re) (neg.f64 im)))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 im (neg.f64 (cos.f64 re))))
(if (<=.f64 im #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)) (cos.f64 re))))
(if (<=.f64 im #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))))
(if (<=.f64 im #s(literal 7656119366529843/9007199254740992 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))))
(if (<=.f64 im #s(literal 7101996468378177/9223372036854775808 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(if (<=.f64 im #s(literal 7101996468378177/9223372036854775808 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(if (<=.f64 im #s(literal 7101996468378177/9223372036854775808 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (cos.f64 re) #s(literal -1/120 binary64)))))
(if (<=.f64 im #s(literal 3504881374004815/2305843009213693952 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 3504881374004815/2305843009213693952 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 3504881374004815/2305843009213693952 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(if (<=.f64 im #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(if (<=.f64 im #s(literal 3602879701896397/1125899906842624 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 6165521680034609/604462909807314587353088 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))))
(neg.f64 im)
#s(literal -1 binary64)

soundness978.0ms (12.3%)

Rules
1396×fma-define
1071×log1p-expm1-u
884×unsub-neg
611×distribute-lft-in
584×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01499
117499
2264199
01642251
13962078
211002015
336081955
471081955
02727219
17797000
226186390
354286272
478746272
037312
1431304
25150304
036324
186308
2244308
3768304
41960294
53017294
63397294
73805294
84502294
95011294
105176294
115270294
125270294
135270294
Stop Event
fuel
saturated
node limit
node limit
node limit
unsound
Compiler

Compiled 591 to 196 computations (66.8% saved)

preprocess90.0ms (1.1%)

Remove

(abs re)

Compiler

Compiled 1160 to 642 computations (44.7% saved)

end0.0ms (0%)

Profiling

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