math.cos on complex, imaginary part

Time bar (total: 9.7s)

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 14 to 11 computations (21.4% 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-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample3.0s (30.5%)

Results
855.0ms4485×0valid
1.8s3771×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-exp: 742.0ms (32.6% of total)
ival-sin: 640.0ms (28.1% of total)
ival-mult: 603.0ms (26.5% of total)
ival-neg: 116.0ms (5.1% of total)
ival-sub: 79.0ms (3.5% of total)
backward-pass: 79.0ms (3.5% of total)
const: 15.0ms (0.7% of total)
Bogosity

preprocess326.0ms (3.4%)

Algorithm
egg-herbie
Rules
737×fma-neg
661×fma-define
244×distribute-lft-in
219×distribute-rgt-in
199×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
180308
2261308
3887304
42161294
53608294
64392294
74927294
85035294
95035294
105035294
115035294
125067294
135097294
145097294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.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) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.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) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.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) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.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) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(negabs re)

(negabs im)

explain203.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-0-(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-#s(literal 1/2 binary64)
00-0-re
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-im
00-0-(sin.f64 re)
00-0-(neg.f64 im)
01(4.8572190625160815e-294 148.67254338136104)0-(exp.f64 (neg.f64 im))
00-0-(exp.f64 im)
Results
37.0ms280×0valid
120.0ms232×1valid
Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 45.0ms (37.1% of total)
ival-exp: 39.0ms (32.2% of total)
ival-sin: 19.0ms (15.7% of total)
backward-pass: 7.0ms (5.8% of total)
ival-neg: 6.0ms (4.9% of total)
ival-sub: 4.0ms (3.3% of total)
const: 2.0ms (1.6% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize262.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy55.7%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Rules
932×fma-define
290×fma-neg
115×distribute-lft-in
88×distribute-rgt-in
85×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016128
128128
259128
3131128
4261126
5426126
6687126
71129126
81787126
92448126
102544126
112646126
122661126
132661126
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Results
112.0ms140×0valid
45.0ms116×1valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-mult: 101.0ms (74.4% of total)
ival-exp: 17.0ms (12.5% of total)
ival-sin: 9.0ms (6.6% of total)
backward-pass: 3.0ms (2.2% of total)
ival-neg: 2.0ms (1.5% of total)
ival-sub: 2.0ms (1.5% of total)
const: 1.0ms (0.7% of total)

series15.0ms (0.2%)

Counts
6 → 52
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (exp.f64 im)>
#<alt (exp.f64 (neg.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (sin.f64 re)>
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 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))>
#<alt (*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<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 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 re (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
im
@0
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
im
@inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
re
@0
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
re
@inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
im
@-inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))

rewrite141.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01699
119799
2304899
Stop Event
unsound
Counts
6 → 58
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 im)
(exp.f64 (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 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 1/4 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 -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 1/4 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 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
702×fma-define
698×associate-*r*
615×associate-*l*
550×associate-+l+
530×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01932488
15142282
214512212
350172128
Stop Event
node limit
Counts
110 → 134
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 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#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 1/2 binary64) re)
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 re (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 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 1/4 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 -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 1/4 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 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 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 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(*.f64 re (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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/240 binary64))))))
(*.f64 re (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 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (pow.f64 re #s(literal 3 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (*.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 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (+.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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(*.f64 re (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 -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 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 1/240 binary64))))))))
(*.f64 re (+.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(*.f64 re (*.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 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)) #s(literal -1/120 binary64))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 (sin.f64 re))))
(fma.f64 (neg.f64 im) (sin.f64 re) (*.f64 (sin.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 (sin.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 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)) #s(literal -1/5040 binary64))))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64)))) (*.f64 (sin.f64 re) #s(literal -1/6 binary64))) (neg.f64 (sin.f64 re))))
(*.f64 im (fma.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)) (*.f64 (sin.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#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 1/2 binary64) re)
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 binary64)))))
(*.f64 re (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 -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 re (+.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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 re (+.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 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 re (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 -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 re #s(literal 3 binary64)) re)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 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 1/4 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 -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 1/4 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 #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 (sin.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (sin.f64 re) #s(literal 4 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(*.f64 (sin.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 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal -2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(log1p.f64 (+.f64 (exp.f64 (sin.f64 re)) #s(literal -5 binary64)))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))

eval29.0ms (0.3%)

Compiler

Compiled 2281 to 1238 computations (45.7% saved)

prune111.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1304134
Fresh000
Picked101
Done000
Total1314135
Accuracy
99.9%
Counts
135 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
65.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
82.3%
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
49.8%
(*.f64 (neg.f64 im) (sin.f64 re))
Compiler

Compiled 44 to 33 computations (25% saved)

localize590.0ms (6.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 (neg.f64 im) (sin.f64 re))
cost-diff64
(-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
cost-diff128
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
accuracy99.8%
(*.f64 (neg.f64 im) (sin.f64 re))
accuracy96.9%
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
accuracy55.7%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy55.7%
(-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
Rules
1982×fma-define
419×unsub-neg
368×distribute-lft-in
356×div-sub
344×associate-/l*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028379
162379
2137379
3389379
4994371
52302369
64091369
75114369
85420369
95689369
105791369
115791369
125799369
135799369
146159369
156919369
167080369
177080369
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal -1/2 binary64) (+.f64 im (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (*.f64 (+.f64 im (expm1.f64 im)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))
(-.f64 (neg.f64 im) (expm1.f64 im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
Results
60.0ms136×0valid
121.0ms120×1valid
Compiler

Compiled 106 to 49 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 39.0ms (30.1% of total)
ival-pow: 29.0ms (22.4% of total)
ival-exp: 19.0ms (14.6% of total)
ival-sub: 15.0ms (11.6% of total)
backward-pass: 12.0ms (9.2% of total)
ival-sin: 10.0ms (7.7% of total)
const: 3.0ms (2.3% of total)
ival-neg: 2.0ms (1.5% of total)

series19.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))>
#<alt (*.f64 (neg.f64 im) (sin.f64 re))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))>
#<alt (neg.f64 im)>
Outputs
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/24 binary64) im) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))) (*.f64 #s(literal 1/240 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 im (sin.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 re)) (*.f64 #s(literal -1/48 binary64) (*.f64 im (sin.f64 re)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<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

24 calls:

TimeVariablePointExpression
3.0ms
im
@-inf
(* (* 1/2 (sin re)) (- (- 1 im) (exp im)))
2.0ms
re
@0
(* (sin re) (- (* (pow im 3) -1/6) im))
1.0ms
re
@inf
(* (sin re) (- (* (pow im 3) -1/6) im))
1.0ms
im
@inf
(* (sin re) (- (* (pow im 3) -1/6) im))
1.0ms
re
@0
(* (* 1/2 (sin re)) (- (- 1 im) (exp im)))

rewrite213.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
936×log1p-expm1-u
936×expm1-log1p-u
534×fma-define
259×fma-neg
150×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024132
1336120
24567120
Stop Event
node limit
Counts
5 → 186
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(neg.f64 im)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 im (exp.f64 im))))
(+.f64 #s(literal 1 binary64) (-.f64 im (exp.f64 im)))
(+.f64 (+.f64 #s(literal 1 binary64) im) (neg.f64 (exp.f64 im)))
(+.f64 (+.f64 #s(literal 1 binary64) im) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(+.f64 (neg.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im))) (*.f64 (+.f64 #s(literal 1 binary64) im) (neg.f64 (exp.f64 im))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 im (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 im (exp.f64 im)) (+.f64 im (exp.f64 im)) (+.f64 im (exp.f64 im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))) (-.f64 (+.f64 #s(literal 1 binary64) im) (neg.f64 (exp.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 im (exp.f64 im)) (+.f64 im (exp.f64 im)))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 1 binary64) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (neg.f64 (exp.f64 im)))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (neg.f64 (exp.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (exp.f64 im)) (neg.f64 (sqrt.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (neg.f64 (exp.f64 im)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))) (neg.f64 (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) (neg.f64 (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (exp.f64 im))) (cbrt.f64 (neg.f64 (exp.f64 im)))) (cbrt.f64 (neg.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 im))) (sqrt.f64 (neg.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(+.f64 (*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 im (sin.f64 re)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re)) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (sin.f64 re)) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 im (sin.f64 re)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re) (*.f64 im (sin.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) im) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 im))) (log.f64 (sqrt.f64 (exp.f64 im))))
(-.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1 binary64) im)
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))

simplify170.0ms (1.7%)

Algorithm
egg-herbie
Rules
573×associate-*r*
532×associate-*l*
491×fma-neg
314×fma-define
294×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052610121
113139590
258269354
Stop Event
node limit
Counts
282 → 324
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/24 binary64) im) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
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(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) (neg.f64 (exp.f64 im)))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (exp.f64 im))) (cbrt.f64 (neg.f64 (exp.f64 im)))) (cbrt.f64 (neg.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 im))) (sqrt.f64 (neg.f64 (exp.f64 im))) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64) (exp.f64 im)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) (+.f64 #s(literal 1 binary64) im))
(+.f64 (*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 im (sin.f64 re)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re)) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (sin.f64 re)) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 im (sin.f64 re)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re) (*.f64 im (sin.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) im) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 im))) (log.f64 (sqrt.f64 (exp.f64 im))))
(-.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1 binary64) im)
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) (sqrt.f64 (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (+.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -2 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/24 binary64) im) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/24 binary64) im #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (/.f64 (exp.f64 im) im)))
(*.f64 im (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (neg.f64 (expm1.f64 im)) im) #s(literal -1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (/.f64 (exp.f64 im) im)))
(*.f64 im (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (neg.f64 (expm1.f64 im)) im) #s(literal -1 binary64)))
(*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 im) im))))
(*.f64 im (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (/.f64 (exp.f64 im) im)))
(*.f64 im (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im) #s(literal 1 binary64)))
(*.f64 im (+.f64 (/.f64 (neg.f64 (expm1.f64 im)) im) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 im)) im)) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (neg.f64 im))
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(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (+.f64 im #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 im #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 im im #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 im #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 im im #s(literal 1 binary64)) (+.f64 im #s(literal 1 binary64))))

eval89.0ms (0.9%)

Compiler

Compiled 6477 to 3712 computations (42.7% saved)

prune70.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New37613389
Fresh000
Picked314
Done000
Total37914393
Accuracy
100.0%
Counts
393 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
50.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
62.4%
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
49.2%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
49.6%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
82.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
73.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
49.8%
(*.f64 (neg.f64 im) (sin.f64 re))
28.8%
(*.f64 (neg.f64 im) re)
33.3%
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
69.1%
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
2.7%
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
2.7%
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
13.0%
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
Compiler

Compiled 313 to 233 computations (25.6% saved)

localize236.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
cost-diff128
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
cost-diff12928
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
cost-diff12928
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
accuracy99.2%
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
accuracy96.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
accuracy90.9%
(*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
accuracy90.3%
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
Rules
834×fma-define
391×distribute-lft-neg-in
388×distribute-lft-in
377×distribute-rgt-in
369×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035434
183408
2183408
3588408
41836408
54959408
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(literal 8 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(*.f64 im #s(literal 1/6 binary64))
im
#s(literal 1/6 binary64)
(pow.f64 re #s(literal 3 binary64))
re
#s(literal 3 binary64)
(*.f64 im re)
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(sqrt.f64 im)
im
(neg.f64 (sqrt.f64 im))
(sin.f64 re)
re
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 (sin.f64 re) im)))
(*.f64 (*.f64 (sin.f64 re) im) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
im
(-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(*.f64 (neg.f64 im) re)
(neg.f64 (*.f64 re im))
(*.f64 im (neg.f64 re))
(*.f64 re (neg.f64 im))
(neg.f64 im)
im
re
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 4 binary64) re)
(*.f64 re #s(literal 4 binary64))
#s(literal 8 binary64)
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(fma.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) (neg.f64 (*.f64 re im)))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 im #s(literal 1/6 binary64))
im
#s(literal 1/6 binary64)
(pow.f64 re #s(literal 3 binary64))
re
#s(literal 3 binary64)
(*.f64 im re)
(*.f64 re im)
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (sin.f64 re) (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))))
(neg.f64 (*.f64 im (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(neg.f64 im)
(sqrt.f64 im)
im
(neg.f64 (sqrt.f64 im))
(sin.f64 re)
re
Results
128.0ms256×0valid
Compiler

Compiled 139 to 78 computations (43.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 50.0ms (54.7% of total)
ival-sub: 14.0ms (15.3% of total)
ival-pow: 13.0ms (14.2% of total)
ival-sin: 6.0ms (6.6% of total)
const: 4.0ms (4.4% of total)
ival-neg: 3.0ms (3.3% of total)
ival-sqrt: 2.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))>
#<alt (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))>
#<alt (*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))>
#<alt (*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))>
Outputs
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 im (sin.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 im (sin.f64 re)))))))>
#<alt (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (sin.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (sin.f64 re) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/12 binary64) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))) im)) (*.f64 #s(literal 1/12 binary64) (sin.f64 re)))))>
#<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 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 #s(literal 4 binary64) re)>
Calls

30 calls:

TimeVariablePointExpression
6.0ms
re
@inf
(- (* (* im 1/6) (pow re 3)) (* im re))
2.0ms
im
@0
(- (* (* im 1/6) (pow re 3)) (* im re))
1.0ms
re
@inf
(* (* 1/2 (sin re)) (* im (- (* im (- (* -1/6 im) 1/2)) 2)))
1.0ms
re
@0
(* (* 1/2 (sin re)) (* im (- (* im (- (* -1/6 im) 1/2)) 2)))
1.0ms
im
@-inf
(* (sqrt im) (neg (sqrt im)))

rewrite172.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
945×log1p-expm1-u
281×associate-*r*
216×expm1-log1p-u
212×add-exp-log
212×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033158
1503141
26799141
Stop Event
node limit
Counts
6 → 128
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
Outputs
(+.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 im re))
(+.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 im re) (+.f64 (*.f64 im re) (*.f64 im re))))
(+.f64 (*.f64 im re) (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (+.f64 (*.f64 im re) (*.f64 im re)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (fma.f64 im re (*.f64 im re)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (fma.f64 (*.f64 im re) #s(literal 1 binary64) (*.f64 im re)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 im re))) (pow.f64 (cbrt.f64 (*.f64 im re)) #s(literal 2 binary64)) (*.f64 im re)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 im re))) (sqrt.f64 (*.f64 im re)) (*.f64 im re)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (*.f64 (+.f64 (*.f64 im re) (*.f64 im re)) #s(literal 1 binary64)))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (+.f64 (+.f64 (*.f64 im re) (*.f64 im re)) (+.f64 (*.f64 im re) (*.f64 im re))))
(+.f64 (+.f64 (*.f64 im re) (*.f64 im re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)))
(*.f64 (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) (pow.f64 (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(*.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(*.f64 (sqrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) (sqrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(*.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 im (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 im re))) (-.f64 (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 im (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re)))) (-.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 im re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)))
(/.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 im (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 im re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 im (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64))) (neg.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 im re) (*.f64 im re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 im re) (*.f64 im re)) (+.f64 (*.f64 im re) (*.f64 im re))) (*.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (+.f64 (*.f64 im re) (*.f64 im re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (pow.f64 (*.f64 im re) #s(literal 2 binary64)) (*.f64 im (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 im re) (*.f64 im re)) (+.f64 (*.f64 im re) (*.f64 im re)))) (-.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (+.f64 (*.f64 im re) (*.f64 im re))))
(pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)))))
(cbrt.f64 (pow.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(log1p.f64 (expm1.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(exp.f64 (log.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(fma.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) (*.f64 im re))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 im #s(literal 1/6 binary64)) (*.f64 im re))
(fma.f64 #s(literal 1 binary64) (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 im re))
(fma.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re)) (+.f64 (*.f64 im re) (*.f64 im re)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) (+.f64 (*.f64 im re) (*.f64 im re)))
(fma.f64 (pow.f64 (*.f64 re (cbrt.f64 (*.f64 im #s(literal 1/6 binary64)))) #s(literal 2 binary64)) (*.f64 re (cbrt.f64 (*.f64 im #s(literal 1/6 binary64)))) (*.f64 im re))
(fma.f64 (sqrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) (sqrt.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))) (+.f64 (*.f64 im re) (*.f64 im re)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64))) (*.f64 im re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (cbrt.f64 (*.f64 im #s(literal 1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) im) (pow.f64 re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (*.f64 #s(literal -2 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.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 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))

simplify146.0ms (1.5%)

Algorithm
egg-herbie
Rules
660×cancel-sign-sub-inv
495×associate-*r*
481×fma-neg
461×associate-*l*
368×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04298665
111098454
247148398
Stop Event
node limit
Counts
248 → 230
Calls
Call 1
Inputs
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.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 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) re))))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(*.f64 (neg.f64 im) re)
(*.f64 im (neg.f64 re))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re) (neg.f64 im))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 im #s(literal 1/6 binary64)) (/.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 (neg.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im re) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
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eval63.0ms (0.6%)

Compiler

Compiled 4007 to 2574 computations (35.8% saved)

prune44.0ms (0.5%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2237230
Fresh178
Picked235
Done011
Total22618244
Accuracy
100.0%
Counts
244 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.1%
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 2 binary64))
50.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
62.4%
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
49.2%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
49.6%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
82.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
73.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
49.8%
(*.f64 (neg.f64 im) (sin.f64 re))
28.8%
(*.f64 (neg.f64 im) re)
33.3%
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
2.7%
(*.f64 re #s(literal 4 binary64))
21.5%
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
69.1%
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
46.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
2.7%
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
21.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
13.0%
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
59.6%
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)))
Compiler

Compiled 394 to 298 computations (24.4% saved)

localize440.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
cost-diff128
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
cost-diff19392
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
cost-diff19392
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
accuracy99.2%
(pow.f64 (cbrt.f64 im) #s(literal 2 binary64))
accuracy99.1%
(cbrt.f64 im)
accuracy95.1%
(*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
accuracy95.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
Rules
712×neg-sub0
669×associate-*r*
505×associate-*l*
350×distribute-lft-neg-out
342×distribute-rgt-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037550
187504
2227504
3905498
43634498
57158498
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 re #s(literal 4 binary64))
re
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
im
(*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
re
(-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(-.f64 (neg.f64 (expm1.f64 im)) im)
(neg.f64 (expm1.f64 im))
(expm1.f64 im)
im
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(pow.f64 (cbrt.f64 im) #s(literal 2 binary64))
(cbrt.f64 im)
im
#s(literal 2 binary64)
(neg.f64 (cbrt.f64 im))
(sin.f64 re)
re
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) im #s(literal -2 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) im #s(literal -2 binary64))
(fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 re #s(literal 4 binary64))
re
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(*.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 im (*.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(*.f64 re (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) im))
(*.f64 im (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(*.f64 re (*.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
im
(*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 re (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
re
(-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)) #s(literal -2 binary64))
(fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) im #s(literal -1/2 binary64))
(fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/6 binary64) im)
(*.f64 im #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (neg.f64 (expm1.f64 im)) im)))
(*.f64 re (*.f64 #s(literal -1/2 binary64) (+.f64 im (expm1.f64 im))))
(-.f64 (neg.f64 (expm1.f64 im)) im)
(-.f64 (neg.f64 im) (expm1.f64 im))
(neg.f64 (expm1.f64 im))
(expm1.f64 im)
im
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(neg.f64 im)
(pow.f64 (cbrt.f64 im) #s(literal 2 binary64))
(cbrt.f64 im)
im
#s(literal 2 binary64)
(neg.f64 (cbrt.f64 im))
(sin.f64 re)
re
Results
246.0ms256×0valid
Compiler

Compiled 172 to 101 computations (41.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 57.0ms (52.7% of total)
ival-sub: 18.0ms (16.6% of total)
ival-pow: 15.0ms (13.9% of total)
ival-sin: 6.0ms (5.5% of total)
const: 5.0ms (4.6% of total)
ival-expm1: 2.0ms (1.8% of total)
ival-cbrt: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.7%)

Counts
7 → 112
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))>
#<alt (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))>
#<alt (cbrt.f64 im)>
#<alt (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))>
#<alt (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))>
#<alt (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/6 binary64) (*.f64 im re)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/6 binary64) (*.f64 im re)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (/.f64 re im))) im)) (*.f64 #s(literal -1/6 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (/.f64 re im))) im)) (*.f64 #s(literal -1/6 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<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 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 im (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 #s(literal -1/4 binary64) (*.f64 im re))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im re))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 im)))))>
Calls

33 calls:

TimeVariablePointExpression
34.0ms
im
@0
(pow (cbrt im) 2)
6.0ms
im
@0
(* (* 1/2 (sin re)) (* im (- (* -1/2 im) 2)))
2.0ms
im
@-inf
(cbrt im)
2.0ms
im
@0
(cbrt im)
2.0ms
im
@inf
(cbrt im)

rewrite186.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
744×prod-diff
273×associate-*r*
236×log1p-expm1-u
235×expm1-log1p-u
231×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033159
1531147
27252147
Stop Event
node limit
Counts
7 → 148
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 im)
(pow.f64 (cbrt.f64 im) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im)) (*.f64 im #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im)) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 im #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im)) (+.f64 (pow.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) im)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -4 binary64))) (fma.f64 im #s(literal -1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 re)) #s(literal 1/2 binary64)) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 re #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) re) (*.f64 #s(literal -2 binary64) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 re (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 re (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64)) re) (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64)) re) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 im))
(-.f64 #s(literal 0 binary64) (cbrt.f64 im))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 im) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cbrt.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (neg.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 #s(literal -1 binary64) (cbrt.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (neg.f64 (pow.f64 im #s(literal 1/6 binary64))) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 1/6 binary64))) (pow.f64 im #s(literal 1/6 binary64)))
(/.f64 im (+.f64 #s(literal 0 binary64) (+.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (cbrt.f64 im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im))
(pow.f64 im #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 2 binary64))
(neg.f64 (cbrt.f64 im))
(sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 im))
(log.f64 (exp.f64 (cbrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 im))))
(expm1.f64 (log1p.f64 (cbrt.f64 im)))
(log1p.f64 (expm1.f64 (cbrt.f64 im)))
(exp.f64 (log.f64 (cbrt.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 im) (cbrt.f64 im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 (*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 im)))
(neg.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 re) im))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.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 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) im)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (expm1.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) im))
(+.f64 (*.f64 (expm1.f64 im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64))) (+.f64 im (expm1.f64 im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(/.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 im (expm1.f64 im)))
(pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (+.f64 im (expm1.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))

simplify131.0ms (1.3%)

Algorithm
egg-herbie
Rules
490×associate-*r*
460×associate-*l*
294×fma-define
236×*-commutative
206×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04798041
111817574
243657218
Stop Event
node limit
Counts
260 → 282
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 #s(literal -2 binary64) re)
(+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))
(+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/6 binary64) (*.f64 im re)))))
(+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal -1/6 binary64) (*.f64 im re)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal -1/6 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (/.f64 re im))) im)) (*.f64 #s(literal -1/6 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (/.f64 re im))) im)) (*.f64 #s(literal -1/6 binary64) re)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 im (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
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(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (expm1.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) im))
(+.f64 (*.f64 (expm1.f64 im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64))) (+.f64 im (expm1.f64 im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(/.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 im (expm1.f64 im)))
(pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (+.f64 im (expm1.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im re) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im re)))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 re (*.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/240 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im #s(literal 1/240 binary64))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))) (*.f64 #s(literal 1/240 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/240 binary64) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) #s(literal -1/10080 binary64) (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (*.f64 im #s(literal 1/240 binary64)))))))))
(*.f64 re (+.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 im #s(literal -1/10080 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/240 binary64)))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (sin.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64)) (sin.f64 re))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im) (*.f64 (sin.f64 re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (sin.f64 re) #s(literal -1/4 binary64) (/.f64 (sin.f64 re) (neg.f64 im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 #s(literal -2 binary64) re)
(*.f64 re #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))
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(neg.f64 (*.f64 (sin.f64 re) im))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)))
(*.f64 im (sin.f64 re))
(log.f64 (pow.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 im (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) im))))
(*.f64 im (sin.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)))
(*.f64 im (sin.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (sin.f64 re))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(*.f64 im (sin.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) im)))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(+.f64 (*.f64 im (sin.f64 re)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) im)))
(*.f64 im (sin.f64 re))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) im)))
(*.f64 im (sin.f64 re))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) im)) #s(literal 1 binary64)))
(*.f64 im (sin.f64 re))
(-.f64 #s(literal 0 binary64) im)
(neg.f64 im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 im))
im
(pow.f64 im #s(literal 1 binary64))
(expm1.f64 (log1p.f64 im))
im
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 im))
im
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 im))
im
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 im))
im
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 im))
im
(log.f64 (exp.f64 im))
(expm1.f64 (log1p.f64 im))
im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(expm1.f64 (log1p.f64 im))
im
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
im
(expm1.f64 (log1p.f64 im))
im
(log1p.f64 (expm1.f64 im))
(expm1.f64 (log1p.f64 im))
im
(exp.f64 (log.f64 im))
(expm1.f64 (log1p.f64 im))
im
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 im))
im
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (expm1.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(+.f64 (*.f64 (expm1.f64 im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (expm1.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (expm1.f64 im) #s(literal 3 binary64)))) (fma.f64 im (+.f64 im (expm1.f64 im)) (pow.f64 (expm1.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64))) (+.f64 im (expm1.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64)) (+.f64 im (expm1.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64))) (+.f64 im (expm1.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (+.f64 im (expm1.f64 im)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (expm1.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (expm1.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (expm1.f64 im) #s(literal 2 binary64)) (*.f64 im (+.f64 im (expm1.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (expm1.f64 im) #s(literal 3 binary64)))) (fma.f64 im (+.f64 im (expm1.f64 im)) (pow.f64 (expm1.f64 im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re)) (+.f64 im (expm1.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64)) (+.f64 im (expm1.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 2 binary64))) (+.f64 im (expm1.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (+.f64 im (expm1.f64 im)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(pow.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (+.f64 im (expm1.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (+.f64 im (expm1.f64 im)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(exp.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 im (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 im (expm1.f64 im))))

eval119.0ms (1.2%)

Compiler

Compiled 4915 to 2922 computations (40.5% saved)

prune177.0ms (1.8%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New31613329
Fresh549
Picked145
Done134
Total32324347
Accuracy
100.0%
Counts
347 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))) #s(literal 2 binary64))
50.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
55.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
55.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
62.4%
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
49.0%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (sqrt.f64 im))))) (sin.f64 re))
49.2%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
49.6%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
39.6%
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
23.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
49.8%
(*.f64 (neg.f64 im) (sin.f64 re))
28.8%
(*.f64 (neg.f64 im) re)
33.3%
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
2.7%
(*.f64 re #s(literal 4 binary64))
45.9%
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
45.9%
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
48.2%
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
45.9%
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
39.6%
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
19.6%
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
46.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
2.7%
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
21.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
13.0%
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
Compiler

Compiled 723 to 478 computations (33.9% saved)

regimes293.0ms (3%)

Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) im)) (*.f64 #s(literal -1/4 binary64) (sin.f64 re))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) im) (fma.f64 im #s(literal -1/2 binary64) #s(literal -2 binary64))))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (sqrt.f64 im))))) (sin.f64 re))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (neg.f64 im) (sin.f64 re))
Calls

6 calls:

139.0ms
re
76.0ms
(sin.f64 re)
38.0ms
im
29.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
94.2%2re
99.9%2im
99.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
94.2%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
94.2%3(sin.f64 re)
99.9%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes127.0ms (1.3%)

Counts
27 → 3
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
Calls

2 calls:

123.0ms
im
2.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
96.8%3im
87.8%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes69.0ms (0.7%)

Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))
Calls

2 calls:

34.0ms
im
33.0ms
re
Results
AccuracySegmentsBranch
90.0%2re
94.4%3im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes338.0ms (3.5%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
(-.f64 (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))) (*.f64 im re))
Outputs
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
Calls

3 calls:

210.0ms
im
113.0ms
(sin.f64 re)
12.0ms
re
Results
AccuracySegmentsBranch
90.0%2re
90.2%3(sin.f64 re)
91.5%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes293.0ms (3%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re))
Calls

3 calls:

120.0ms
re
103.0ms
im
68.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
84.4%5(sin.f64 re)
87.8%2im
80.9%4re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes101.0ms (1%)

Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 im (expm1.f64 im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 3 binary64))) re))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
Calls

3 calls:

57.0ms
im
27.0ms
(sin.f64 re)
15.0ms
re
Results
AccuracySegmentsBranch
68.2%4re
72.8%7(sin.f64 re)
75.6%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 (neg.f64 im) (sin.f64 re))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
Calls

1 calls:

9.0ms
im
Results
AccuracySegmentsBranch
73.7%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
Outputs
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
Calls

2 calls:

6.0ms
im
4.0ms
re
Results
AccuracySegmentsBranch
48.2%1re
48.2%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 #s(literal -1/12 binary64) (*.f64 im re))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
Calls

2 calls:

6.0ms
im
4.0ms
re
Results
AccuracySegmentsBranch
46.3%1im
46.3%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes89.0ms (0.9%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 im (*.f64 re #s(literal -1/2 binary64)))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 (*.f64 im re) (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64)))) re))
Outputs
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
Calls

2 calls:

84.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
45.9%1im
45.9%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
39.6%1im
39.6%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

6.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
39.6%1im
39.6%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
28.8%1im
28.8%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 re #s(literal 4 binary64))
Outputs
(*.f64 re #s(literal 4 binary64))
Calls

2 calls:

0.0ms
im
0.0ms
re
Results
AccuracySegmentsBranch
2.7%1re
2.7%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.69543187962605e+64
-3.414045157690282e-8
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.162694160813225e+102
1.1483028553166034e+108
23.0ms
1.7070225808270885e-8
148.67254338136104
Results
30.0ms304×0valid
Compiler

Compiled 497 to 380 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 9.0ms (42% of total)
ival-exp: 5.0ms (23.3% of total)
ival-mult: 5.0ms (23.3% of total)
ival-sub: 2.0ms (9.3% of total)
ival-neg: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch90.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.968046565004131e+152
2.5708105948092383e+166
66.0ms
1.7070225808270885e-8
148.67254338136104
Results
75.0ms320×0valid
Compiler

Compiled 488 to 374 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 49.0ms (75.2% of total)
ival-sin: 8.0ms (12.3% of total)
ival-exp: 5.0ms (7.7% of total)
ival-sub: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
1.552883853402939e-10
4.0600597442919604e-8
Results
6.0ms70×0valid
18.0ms58×1valid
Compiler

Compiled 218 to 166 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 10.0ms (53% of total)
ival-mult: 3.0ms (15.9% of total)
ival-sin: 2.0ms (10.6% of total)
ival-neg: 1.0ms (5.3% of total)
ival-sub: 1.0ms (5.3% of total)
backward-pass: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.7070225808270885e-8
148.67254338136104
Results
17.0ms160×0valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 4.0ms (32.1% of total)
ival-sub: 3.0ms (24% of total)
ival-exp: 3.0ms (24% of total)
ival-mult: 2.0ms (16% of total)
ival-neg: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.0208721233180254e+98
1.2680530925498946e+102
9.0ms
65602250.098077536
87014341.54643166
Results
21.0ms176×0valid
Compiler

Compiled 360 to 264 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 4.0ms (35.9% of total)
ival-mult: 3.0ms (26.9% of total)
ival-exp: 2.0ms (17.9% of total)
ival-sub: 1.0ms (9% of total)
ival-neg: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
87014341.54643166
16159376728.812902
Results
12.0ms112×0valid
Compiler

Compiled 256 to 182 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 3.0ms (34.1% of total)
ival-sin: 3.0ms (34.1% of total)
ival-mult: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.4% of total)
ival-neg: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify24.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01101088
11771076
22091076
32351076
42521076
52621076
62651076
72661076
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(if (<=.f64 im #s(literal 11/2 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))
(if (<=.f64 re #s(literal 3022314549036573/75557863725914323419136 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))))
(if (<=.f64 im #s(literal 5404319552844595/1125899906842624 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 66000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 105000000000000002034053983817115595715187597450835249588155221678628467342503827964585988327473152 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))))
(if (<=.f64 im #s(literal 150000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 im) re)
(*.f64 re #s(literal 4 binary64))
Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -20000000000000000426408380189087937446025157425359298935486676992 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))) (*.f64 im (neg.f64 (sin.f64 re))))
(if (<=.f64 im #s(literal 11/2 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 11/2 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 11/2 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 11/2 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 (-.f64 (neg.f64 im) (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 (-.f64 (neg.f64 im) (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 im (-.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 re #s(literal 3022314549036573/75557863725914323419136 binary64)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))))
(if (<=.f64 re #s(literal 3022314549036573/75557863725914323419136 binary64)) (*.f64 (-.f64 (neg.f64 im) (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 im (*.f64 (sin.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))))
(if (<=.f64 im #s(literal 5404319552844595/1125899906842624 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 5404319552844595/1125899906842624 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (*.f64 (-.f64 (neg.f64 (expm1.f64 im)) im) (*.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 5404319552844595/1125899906842624 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (*.f64 (-.f64 (neg.f64 im) (expm1.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 66000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 105000000000000002034053983817115595715187597450835249588155221678628467342503827964585988327473152 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))))
(if (<=.f64 im #s(literal 66000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 105000000000000002034053983817115595715187597450835249588155221678628467342503827964585988327473152 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))) (*.f64 im (+.f64 (neg.f64 re) (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))))
(if (<=.f64 im #s(literal 66000000 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (if (<=.f64 im #s(literal 105000000000000002034053983817115595715187597450835249588155221678628467342503827964585988327473152 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))) (*.f64 im (-.f64 (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))) re))))
(if (<=.f64 im #s(literal 150000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))))))
(if (<=.f64 im #s(literal 150000000 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 im (+.f64 (neg.f64 re) (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))))))
(if (<=.f64 im #s(literal 150000000 binary64)) (*.f64 im (neg.f64 (sin.f64 re))) (*.f64 im (-.f64 (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) re) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 im (+.f64 (neg.f64 re) (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re))))))))
(*.f64 im (-.f64 (*.f64 im (+.f64 (*.f64 re #s(literal -1/4 binary64)) (*.f64 im (+.f64 (*.f64 re #s(literal -1/12 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 im re)))))) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 re (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 (*.f64 im #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) re))
(*.f64 im (-.f64 (*.f64 im (*.f64 re (+.f64 #s(literal -1/4 binary64) (*.f64 im #s(literal -1/12 binary64))))) re))
(*.f64 (*.f64 im re) (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64))) (*.f64 im re))
(*.f64 im (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 im) re)
(*.f64 re #s(literal 4 binary64))

soundness860.0ms (8.8%)

Rules
702×fma-define
698×associate-*r*
660×cancel-sign-sub-inv
615×associate-*l*
573×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04298665
111098454
247148398
01699
119799
2304899
052610121
113139590
258269354
01932488
15142282
214512212
350172128
04798041
111817574
243657218
Stop Event
fuel
node limit
node limit
node limit
unsound
node limit
Compiler

Compiled 1036 to 603 computations (41.8% saved)

preprocess159.0ms (1.6%)

Remove

(negabs re)

Compiler

Compiled 1492 to 934 computations (37.4% saved)

end0.0ms (0%)

Profiling

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