math.sin on complex, real part

Time bar (total: 6.6s)

analyze0.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sin, time spent: 0.0ms, 0.0% of total-time

sample1.8s (26.9%)

Results
899.0ms4130×256infinite
779.0ms4125×256valid
0.0ms256infinite
Precisions
Click to see histograms. Total time spent on operations: 684.0ms
Operation ival-sin, time spent: 284.0ms, 42.0% of total-time
Operation ival-mult, time spent: 140.0ms, 20.0% of total-time
Operation ival-exp, time spent: 135.0ms, 20.0% of total-time
Operation ival-sub, time spent: 53.0ms, 8.0% of total-time
Operation ival-add, time spent: 53.0ms, 8.0% of total-time
Operation const, time spent: 19.0ms, 3.0% of total-time
Bogosity

preprocess428.0ms (6.5%)

Algorithm
egg-herbie
Rules
989×fmm-def
725×fma-define
264×times-frac
215×distribute-lft-neg-in
165×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
01(5.953050015821856e-223 534.6374756534976)0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
00-0-#s(literal 1/2 binary64)
00-0-re
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-im
00-0-#s(literal 0 binary64)
00-0-(sin.f64 re)
00-0-(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(exp.f64 im)
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036316
1111308
2397308
3986298
41988294
53212294
63711294
74187294
84839294
94992294
105009294
115009294
125041294
135070294
145070294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 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 (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 (-.f64 #s(literal 0 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 (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 (neg.f64 re))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (sin.f64 re) (*.f64 #s(literal -1/2 binary64) (+.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 (-.f64 #s(literal 0 binary64) (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 #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 (-.f64 #s(literal 0 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 (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 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (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 (sin.f64 re) (*.f64 #s(literal -1/2 binary64) (+.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 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(abs im)

(negabs re)

Compiler

Compiled 96 to 61 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
Operation ival-sin, time spent: 19.0ms, 28.0% of total-time
Operation ival-exp, time spent: 18.0ms, 27.0% of total-time
Operation ival-mult, time spent: 13.0ms, 19.0% of total-time
Operation ival-sub, time spent: 10.0ms, 15.0% of total-time
Operation ival-add, time spent: 5.0ms, 7.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.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)

localize66.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-sin, time spent: 7.0ms, 34.0% of total-time
Operation ival-mult, time spent: 6.0ms, 29.0% of total-time
Operation ival-exp, time spent: 4.0ms, 20.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

series9.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/24 binary64) (sin.f64 re)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
Calls

9 calls:

TimeVariablePointExpression
2.0ms
re
@-inf
(* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im)))
2.0ms
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
im
@-inf
(* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im)))
1.0ms
re
@inf
(* (* 1/2 (sin re)) (+ (exp (neg im)) (exp im)))

rewrite299.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
100×associate-*r*
90×add-exp-log
90×add-log-exp
90×log1p-expm1-u
90×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
120269
2330669
Stop Event
unsound
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Outputs
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 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)

simplify83.0ms (1.3%)

Algorithm
egg-herbie
Rules
613×fma-define
459×associate-*r*
362×associate-*l*
329×associate-*r/
326×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01192103
13611906
212431906
345941906
Stop Event
node limit
Counts
64 → 63
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/24 binary64) (sin.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (sin.f64 re) (sin.f64 re))
(+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 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)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(*.f64 re (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.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 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.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 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/240 binary64))))))))
(*.f64 re (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/24 binary64) (sin.f64 re)))))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/24 binary64)))))))
(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 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
#s(literal 2 binary64)
(sin.f64 re)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(+.f64 (sin.f64 re) (sin.f64 re))
(sin.f64 re)
(+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(sin.f64 re)
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(sin.f64 re)
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(sin.f64 re)
(/.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(sin.f64 re)
(/.f64 (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(sin.f64 re)
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(sin.f64 re)
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(sin.f64 re)
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sin.f64 re)
(sqrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
(fabs.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
(log.f64 (pow.f64 #s(literal 1 binary64) (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))))
(sin.f64 re)
(cbrt.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(sin.f64 re)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(sin.f64 re)
(exp.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(sin.f64 re)
(exp.f64 (+.f64 (log.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(sin.f64 re)
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
(fma.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal -2 binary64)))
(sin.f64 re)
#s(literal -2 binary64)
(sin.f64 re)
#s(literal 0 binary64)
(sin.f64 re)
#s(literal 1/4 binary64)
(sin.f64 re)
#s(literal 1/2 binary64)
(sin.f64 re)
#s(literal 3/2 binary64)
(sin.f64 re)
#s(literal 2 binary64)
(sin.f64 re)

eval17.0ms (0.3%)

Compiler

Compiled 901 to 509 computations (43.5% saved)

prune15.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864
Accuracy
100.0%
Counts
64 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
16.1%
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
77.6%
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
10.8%
(+.f64 (sin.f64 re) (sin.f64 re))
77.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
59.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
50.4%
(sin.f64 re)
Compiler

Compiled 161 to 120 computations (25.5% saved)

localize228.0ms (3.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
99.6%
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
99.9%
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
99.6%
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
91.8%
(*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
Compiler

Compiled 105 to 54 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
Operation ival-add, time spent: 75.0ms, 53.0% of total-time
Operation ival-mult, time spent: 23.0ms, 16.0% of total-time
Operation ival-pow, time spent: 23.0ms, 16.0% of total-time
Operation ival-sin, time spent: 8.0ms, 6.0% of total-time
Operation composed, time spent: 5.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series17.0ms (0.3%)

Counts
6 → 104
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))>
#<alt (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))>
#<alt (pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
Outputs
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (*.f64 #s(literal 1/24 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 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 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 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/6 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/378 binary64) (pow.f64 re #s(literal 2 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/24 binary64) re))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
im
@inf
(* (pow im 2) 1/24)
1.0ms
re
@0
(+ (* (pow im 2) (* (sin re) (+ (* (pow im 2) 1/24) 1/2))) (sin re))
1.0ms
re
@inf
(pow (* (sin re) -2) -2)
1.0ms
re
@0
(* (sin re) (+ (* (pow im 2) 1/24) 1/2))
1.0ms
re
@-inf
(pow (* (sin re) -2) -2)

rewrite47.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
185×associate-*r*
169×log1p-expm1-u
169×expm1-log1p-u
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027154
1378154
26299154
Stop Event
unsound
Counts
6 → 129
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
Outputs
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal -8 binary64))
(pow.f64 (sin.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) (sin.f64 re))
(-.f64 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -8 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

simplify125.0ms (1.9%)

Algorithm
egg-herbie
Rules
788×distribute-lft-in
769×distribute-rgt-in
488×associate-+l+
432×associate-+r+
351×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02415809
16565302
221204923
370274901
Stop Event
node limit
Counts
233 → 176
Calls
Call 1
Inputs
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
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(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(fma.f64 #s(literal -8 binary64) re re)
(fma.f64 re #s(literal -8 binary64) re)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))))))
(*.f64 re (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64)))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (*.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 (sin.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(*.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) #s(literal -8 binary64))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) (-.f64 (sin.f64 re) (sin.f64 re))))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (sin.f64 re) (sin.f64 re))
#s(literal 1 binary64)
(/.f64 #s(literal -8 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 re)) #s(literal -8 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 re)) #s(literal -8 binary64))
(-.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal -8 binary64)))
(+.f64 #s(literal -1/8 binary64) (/.f64 (cos.f64 re) #s(literal 8 binary64)))
(/.f64 (-.f64 (sin.f64 re) (sin.f64 re)) (-.f64 (sin.f64 re) (sin.f64 re)))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (sin.f64 re) (sin.f64 re))
#s(literal 1 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 -8 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(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)
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(fma.f64 #s(literal -8 binary64) (sin.f64 re) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal -8 binary64) (sin.f64 re))
(*.f64 #s(literal -7 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -7 binary64))
(+.f64 re re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -8 binary64))
(+.f64 (exp.f64 (log1p.f64 re)) #s(literal 8 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 8 binary64))
(+.f64 re #s(literal 9 binary64))
(/.f64 re #s(literal -8 binary64))
(*.f64 re #s(literal -1/8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (sin.f64 re) (sin.f64 re))
#s(literal 1 binary64)
(/.f64 (-.f64 re re) (-.f64 re re))
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (sin.f64 re) (sin.f64 re))
#s(literal 1 binary64)
(pow.f64 re #s(literal -8 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(cbrt.f64 re)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 #s(literal -8 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
re
(log1p.f64 (expm1.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(fma.f64 #s(literal -8 binary64) re re)
(*.f64 #s(literal -7 binary64) re)
(*.f64 re #s(literal -7 binary64))
(fma.f64 re #s(literal -8 binary64) re)
(fma.f64 #s(literal -8 binary64) re re)
(*.f64 #s(literal -7 binary64) re)
(*.f64 re #s(literal -7 binary64))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 re) (+.f64 (sin.f64 re) #s(literal 0 binary64)))
(/.f64 (sin.f64 re) (sin.f64 re))
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

eval64.0ms (1%)

Compiler

Compiled 2831 to 1964 computations (30.6% saved)

prune39.0ms (0.6%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New16313176
Fresh112
Picked325
Done011
Total16717184
Accuracy
100.0%
Counts
184 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(pow.f64 re #s(literal -8 binary64))
5.8%
(/.f64 re (+.f64 re (-.f64 re re)))
2.6%
(/.f64 re #s(literal -8 binary64))
84.0%
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
45.3%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 9 binary64))
77.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
59.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2.6%
(*.f64 re #s(literal -7 binary64))
38.1%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
50.4%
(sin.f64 re)
31.9%
(log1p.f64 (expm1.f64 re))
24.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
23.2%
re
Compiler

Compiled 251 to 188 computations (25.1% saved)

localize769.0ms (11.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.2%
(log1p.f64 (expm1.f64 re))
99.9%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re)))
99.8%
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
91.8%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
Compiler

Compiled 82 to 53 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 648.0ms
Operation ival-sin, time spent: 170.0ms, 26.0% of total-time
Operation ival-pow, time spent: 137.0ms, 21.0% of total-time
Operation composed, time spent: 103.0ms, 16.0% of total-time
Operation ival-mult, time spent: 81.0ms, 12.0% of total-time
Operation ival-log, time spent: 73.0ms, 11.0% of total-time
Operation ival-add, time spent: 53.0ms, 8.0% of total-time
Operation const, time spent: 15.0ms, 2.0% of total-time
Operation ival-exp, time spent: 10.0ms, 2.0% of total-time
Operation ival-sub, time spent: 6.0ms, 1.0% of total-time

series9.0ms (0.1%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re)))>
#<alt (log1p.f64 (expm1.f64 re))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))>
#<alt (*.f64 #s(literal 1/24 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 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 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 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 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 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
Calls

18 calls:

TimeVariablePointExpression
4.0ms
re
@-inf
(log (+ 1 (- (exp re) 1)))
1.0ms
re
@0
(* (pow im 2) (* (+ 1/2 (* 1/24 (pow im 2))) (sin re)))
0.0ms
im
@0
(* (pow im 2) (* (+ 1/2 (* 1/24 (pow im 2))) (sin re)))
0.0ms
re
@0
(* (+ 1/2 (* 1/24 (pow im 2))) (sin re))
0.0ms
im
@inf
(* (pow im 2) (* (+ 1/2 (* 1/24 (pow im 2))) (sin re)))

rewrite109.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
907×log1p-expm1-u
906×expm1-log1p-u
501×log-prod
180×prod-diff
173×pow-to-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019105
120697
2250397
Stop Event
node limit
Counts
4 → 98
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re)))
(log1p.f64 (expm1.f64 re))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sin.f64 re) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (sin.f64 re)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64))) (sin.f64 re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #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 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) re)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
(*.f64 re (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))

simplify178.0ms (2.7%)

Algorithm
egg-herbie
Rules
976×prod-exp
531×distribute-lft-out
491×fmm-def
360×associate-+r+
302×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03185460
17215398
230835248
351865225
474615217
Stop Event
node limit
Counts
158 → 169
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) re)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
(*.f64 re (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64)))))))
(*.f64 re (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64)))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64))))))))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/120 binary64)))))))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/144 binary64))))))))
(*.f64 re (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.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)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 re))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) re)
re
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 re) (+.f64 (exp.f64 re) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
re
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
re
(*.f64 re (log.f64 (exp.f64 #s(literal 1 binary64))))
re
(*.f64 #s(literal 1 binary64) re)
re
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
re
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
re
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
re
(pow.f64 re #s(literal 1 binary64))
re
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
re
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
re
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
re
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
re
(log.f64 (exp.f64 re))
re
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
re
(expm1.f64 (log1p.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)))
re
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
re
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
re
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
re

eval79.0ms (1.2%)

Compiler

Compiled 3697 to 2605 computations (29.5% saved)

prune56.0ms (0.8%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New1690169
Fresh099
Picked055
Done033
Total16917186
Accuracy
100.0%
Counts
186 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(pow.f64 re #s(literal -8 binary64))
5.8%
(/.f64 re (+.f64 re (-.f64 re re)))
2.6%
(/.f64 re #s(literal -8 binary64))
84.0%
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
45.3%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 9 binary64))
77.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
59.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2.6%
(*.f64 re #s(literal -7 binary64))
38.1%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
50.4%
(sin.f64 re)
31.9%
(log1p.f64 (expm1.f64 re))
24.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
23.2%
re
Compiler

Compiled 214 to 161 computations (24.8% saved)

localize144.0ms (2.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.7%
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
91.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
91.8%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
Compiler

Compiled 77 to 50 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
Operation ival-mult, time spent: 22.0ms, 30.0% of total-time
Operation ival-pow, time spent: 17.0ms, 23.0% of total-time
Operation ival-sin, time spent: 8.0ms, 11.0% of total-time
Operation composed, time spent: 7.0ms, 10.0% of total-time
Operation ival-add, time spent: 6.0ms, 8.0% of total-time
Operation ival-log, time spent: 5.0ms, 7.0% of total-time
Operation ival-exp, time spent: 4.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 5.0% of total-time
Operation ival-div, time spent: 2.0ms, 3.0% of total-time

series11.0ms (0.2%)

Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))>
#<alt (exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))>
Outputs
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (*.f64 #s(literal 1/2 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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (*.f64 #s(literal 1/2 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) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 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) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))>
Calls

18 calls:

TimeVariablePointExpression
3.0ms
re
@0
(* (+ (* 1/2 (pow im 2)) 1) (sin re))
1.0ms
re
@0
(* (* 1/2 re) (+ (* im im) 2))
1.0ms
re
@0
(exp (* (log re) -8))
1.0ms
re
@inf
(* (* 1/2 re) (+ (* im im) 2))
1.0ms
re
@inf
(* (+ (* 1/2 (pow im 2)) 1) (sin re))

rewrite124.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
726×log1p-expm1-u
726×expm1-log1p-u
698×log-prod
253×fma-define
235×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02487
128687
2336087
Stop Event
node limit
Counts
4 → 110
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
Outputs
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)) (sin.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re) (sin.f64 re))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal -8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -8 binary64)))
(*.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) (cbrt.f64 (pow.f64 re #s(literal -16 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -16 binary64))) (cbrt.f64 (pow.f64 re #s(literal -8 binary64))))
(*.f64 (pow.f64 re #s(literal -4 binary64)) (pow.f64 re #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -8 binary64)))
(pow.f64 (exp.f64 #s(literal -8 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -8 binary64))))

simplify163.0ms (2.5%)

Algorithm
egg-herbie
Rules
660×distribute-lft-in
617×distribute-rgt-in
305×*-commutative
285×associate-+l+
283×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03084978
16254936
218724872
355284849
479104849
Stop Event
node limit
Counts
170 → 170
Calls
Call 1
Inputs
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 1/2 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) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 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) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(+.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)) (sin.f64 re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re) (sin.f64 re))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal -8 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -8 binary64)))
(*.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) (cbrt.f64 (pow.f64 re #s(literal -16 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -16 binary64))) (cbrt.f64 (pow.f64 re #s(literal -8 binary64))))
(*.f64 (pow.f64 re #s(literal -4 binary64)) (pow.f64 re #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -8 binary64)))
(pow.f64 (exp.f64 #s(literal -8 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -8 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -8 binary64))))
Outputs
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/120 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64)))) #s(literal 1 binary64))
(pow.f64 re #s(literal -8 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -8 binary64)))
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -8 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) (cbrt.f64 (pow.f64 re #s(literal -16 binary64))))
(pow.f64 re #s(literal -8 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -16 binary64))) (cbrt.f64 (pow.f64 re #s(literal -8 binary64))))
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 re #s(literal -4 binary64)) (pow.f64 re #s(literal -4 binary64)))
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -16 binary64))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) #s(literal 3 binary64))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 2 binary64))
(pow.f64 re #s(literal -8 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -8 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal -8 binary64) (log.f64 re)))
(pow.f64 (exp.f64 #s(literal -8 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -8 binary64) (log.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -8 binary64) (log.f64 re))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -8 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal -8 binary64) (log.f64 re)))) (sqrt.f64 (*.f64 #s(literal -8 binary64) (log.f64 re))))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(pow.f64 re #s(literal -8 binary64))
(log.f64 (exp.f64 (pow.f64 re #s(literal -8 binary64))))
(pow.f64 re #s(literal -8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -8 binary64)))))
(pow.f64 re #s(literal -8 binary64))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -8 binary64)) #s(literal 3 binary64)))
(pow.f64 re #s(literal -8 binary64))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -8 binary64))))
(pow.f64 re #s(literal -8 binary64))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -8 binary64))))
(pow.f64 re #s(literal -8 binary64))

eval65.0ms (1%)

Compiler

Compiled 2517 to 1872 computations (25.6% saved)

prune40.0ms (0.6%)

Pruning

18 alts after pruning (6 fresh and 12 done)

PrunedKeptTotal
New1682170
Fresh044
Picked145
Done088
Total16918187
Accuracy
100.0%
Counts
187 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(pow.f64 re #s(literal -8 binary64))
5.8%
(/.f64 re (+.f64 re (-.f64 re re)))
2.6%
(/.f64 re #s(literal -8 binary64))
84.0%
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
45.3%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 9 binary64))
25.6%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
77.6%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
59.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2.6%
(*.f64 re #s(literal -7 binary64))
38.1%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
26.6%
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
50.4%
(sin.f64 re)
31.9%
(log1p.f64 (expm1.f64 re))
23.2%
re
Compiler

Compiled 317 to 213 computations (32.8% saved)

regimes39.0ms (0.6%)

Counts
24 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(+.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (sin.f64 re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (sin.f64 re))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

8.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
im
7.0ms
re
7.0ms
(sin.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
100.0%1(sin.f64 re)
100.0%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes41.0ms (0.6%)

Counts
19 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
Outputs
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
Calls

3 calls:

15.0ms
(sin.f64 re)
15.0ms
im
10.0ms
re
Results
AccuracySegmentsBranch
89.3%2re
95.4%3im
89.3%3(sin.f64 re)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
Outputs
(sin.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
Calls

1 calls:

14.0ms
im
Results
AccuracySegmentsBranch
94.8%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.4%)

Counts
17 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
Outputs
(sin.f64 re)
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
Calls

2 calls:

13.0ms
im
13.0ms
re
Results
AccuracySegmentsBranch
68.1%4re
90.7%3im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -8 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
Outputs
(sin.f64 re)
(sqrt.f64 (pow.f64 re #s(literal -16 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
Calls

2 calls:

16.0ms
(sin.f64 re)
12.0ms
im
Results
AccuracySegmentsBranch
68.3%5(sin.f64 re)
80.2%3im
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 re))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))
Calls

1 calls:

10.0ms
im
Results
AccuracySegmentsBranch
78.7%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
Calls

1 calls:

10.0ms
im
Results
AccuracySegmentsBranch
78.7%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -8 binary64))
Calls

1 calls:

5.0ms
im
Results
AccuracySegmentsBranch
72.3%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
Outputs
(sin.f64 re)
Calls

3 calls:

3.0ms
im
3.0ms
re
3.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
50.4%1(sin.f64 re)
50.4%1re
50.4%1im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Counts
6 → 2
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
Outputs
re
(/.f64 re (+.f64 re (-.f64 re re)))
Calls

2 calls:

8.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
25.3%2re
23.2%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -14.0b remaining (-28.5%)

Threshold costs -14b (-28.5%)

Counts
5 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -7 binary64))
(+.f64 re #s(literal 9 binary64))
(+.f64 re re)
(/.f64 re #s(literal -8 binary64))
Outputs
re
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
23.2%1im
23.2%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch57.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
6.241355879356382e+72
5.640170666461397e+79
27.0ms
0.8737497875900379
534.6374756534976
Results
26.0ms143×256infinite
21.0ms128×256valid
0.0ms256infinite
Compiler

Compiled 443 to 354 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-sin, time spent: 8.0ms, 39.0% of total-time
Operation ival-exp, time spent: 5.0ms, 24.0% of total-time
Operation ival-mult, time spent: 4.0ms, 20.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.241355879356382e+72
5.640170666461397e+79
11.0ms
0.0034008596215716427
0.004007460877424798
Results
21.0ms143×256infinite
10.0ms48×256valid
0.0ms256infinite
Compiler

Compiled 289 to 228 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-sin, time spent: 6.0ms, 43.0% of total-time
Operation ival-exp, time spent: 3.0ms, 22.0% of total-time
Operation ival-mult, time spent: 3.0ms, 22.0% of total-time
Operation ival-sub, time spent: 1.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch48.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.241355879356382e+72
5.640170666461397e+79
22.0ms
221322.5069343454
6569660.498016148
Results
42.0ms255×256infinite
0.0ms256infinite
Compiler

Compiled 265 to 220 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-sin, time spent: 8.0ms, 38.0% of total-time
Operation ival-exp, time spent: 6.0ms, 28.0% of total-time
Operation ival-mult, time spent: 4.0ms, 19.0% of total-time
Operation ival-sub, time spent: 1.0ms, 5.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch39.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.234499035117736e+159
5.103597135705565e+160
21.0ms
221322.5069343454
6569660.498016148
Results
33.0ms207×256infinite
0.0ms256infinite
Compiler

Compiled 211 to 169 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-sin, time spent: 6.0ms, 37.0% of total-time
Operation ival-exp, time spent: 4.0ms, 25.0% of total-time
Operation ival-mult, time spent: 3.0ms, 18.0% of total-time
Operation ival-sub, time spent: 1.0ms, 6.0% of total-time
Operation ival-add, time spent: 1.0ms, 6.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch41.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.234499035117736e+159
5.103597135705565e+160
22.0ms
221322.5069343454
6569660.498016148
Results
36.0ms207×256infinite
0.0ms256infinite
Compiler

Compiled 198 to 156 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-sin, time spent: 6.0ms, 37.0% of total-time
Operation ival-exp, time spent: 4.0ms, 25.0% of total-time
Operation ival-mult, time spent: 3.0ms, 19.0% of total-time
Operation ival-sub, time spent: 1.0ms, 6.0% of total-time
Operation ival-add, time spent: 1.0ms, 6.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch42.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.234499035117736e+159
5.103597135705565e+160
23.0ms
221322.5069343454
6569660.498016148
Results
37.0ms207×256infinite
0.0ms256infinite
Compiler

Compiled 192 to 156 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-exp, time spent: 5.0ms, 28.0% of total-time
Operation ival-mult, time spent: 5.0ms, 28.0% of total-time
Operation ival-sin, time spent: 5.0ms, 28.0% of total-time
Operation ival-sub, time spent: 1.0ms, 6.0% of total-time
Operation ival-add, time spent: 1.0ms, 6.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch23.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
221322.5069343454
6569660.498016148
Results
19.0ms111×256infinite
0.0ms256infinite
Compiler

Compiled 96 to 78 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-exp, time spent: 3.0ms, 32.0% of total-time
Operation ival-sin, time spent: 3.0ms, 32.0% of total-time
Operation ival-mult, time spent: 2.0ms, 21.0% of total-time
Operation ival-sub, time spent: 1.0ms, 11.0% of total-time
Operation ival-add, time spent: 1.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch27.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.3223127645363504
10471.807347050644
Results
13.0ms64×256infinite
11.0ms63×256valid
0.0ms256infinite
Compiler

Compiled 131 to 87 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sin, time spent: 8.0ms, 60.0% of total-time
Operation ival-exp, time spent: 2.0ms, 15.0% of total-time
Operation ival-mult, time spent: 2.0ms, 15.0% of total-time
Operation ival-sub, time spent: 1.0ms, 8.0% of total-time
Operation ival-add, time spent: 1.0ms, 8.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify17.0ms (0.3%)

Algorithm
egg-herbie
Rules
12×*-commutative
+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073652
196652
2101652
3104652
4105652
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 7926335344172073/9007199254740992 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 8070450532247929/2305843009213693952 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (sqrt.f64 (pow.f64 re #s(literal -16 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 5400000000000000160123343836008112662230475952125236473906301761179922394398896201970451808184613004153069056440753770397702308386478422210258683442768084205568 binary64)) (sqrt.f64 (pow.f64 re #s(literal -16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 binary64)) (pow.f64 re #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 5400000000000000160123343836008112662230475952125236473906301761179922394398896201970451808184613004153069056440753770397702308386478422210258683442768084205568 binary64)) (pow.f64 re #s(literal -8 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (pow.f64 re #s(literal -8 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 3039929748475085/2251799813685248 binary64)) re (/.f64 re (+.f64 re (-.f64 re re))))
re
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 7926335344172073/9007199254740992 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 7926335344172073/9007199254740992 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 8070450532247929/2305843009213693952 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 8070450532247929/2305843009213693952 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (sqrt.f64 (pow.f64 re #s(literal -16 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 114999999999999997377225245734177625043124954484653241178190190737365693104128 binary64)) (sqrt.f64 (pow.f64 re #s(literal -16 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 5400000000000000160123343836008112662230475952125236473906301761179922394398896201970451808184613004153069056440753770397702308386478422210258683442768084205568 binary64)) (sqrt.f64 (pow.f64 re #s(literal -16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 16499999999999998624888166393529428281694775393908345514856475734247547775333443063090480952092961051951566120650153744651895411451950949749916057611287643815936 binary64)) (pow.f64 re #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 5400000000000000160123343836008112662230475952125236473906301761179922394398896201970451808184613004153069056440753770397702308386478422210258683442768084205568 binary64)) (pow.f64 re #s(literal -8 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 5400000000000000160123343836008112662230475952125236473906301761179922394398896201970451808184613004153069056440753770397702308386478422210258683442768084205568 binary64)) (pow.f64 re #s(literal -8 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re))))
(if (<=.f64 im #s(literal 225000 binary64)) (sin.f64 re) (pow.f64 re #s(literal -8 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 3039929748475085/2251799813685248 binary64)) re (/.f64 re (+.f64 re (-.f64 re re))))
re
Compiler

Compiled 206 to 146 computations (29.1% saved)

soundness973.0ms (14.7%)

Rules
989×fmm-def
788×distribute-lft-in
769×distribute-rgt-in
726×log1p-expm1-u
726×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036316
1111308
2397308
3986298
41988294
53212294
63711294
74187294
84839294
94992294
105009294
115009294
125041294
135070294
145070294
02415809
16565302
221204923
370274901
027154
1378154
26299154
01192103
13611906
212431906
345941906
02487
128687
2336087
03084978
16254936
218724872
355284849
479104849
Stop Event
node limit
node limit
node limit
unsound
node limit
saturated
Compiler

Compiled 219 to 148 computations (32.4% saved)

end0.0ms (0%)

preprocess131.0ms (2%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 608 to 402 computations (33.9% saved)

Profiling

Loading profile data...