math.sin on complex, real part

Time bar (total: 6.2s)

analyze0.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

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

sample1.7s (26.6%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 871.0ms
ival-sin: 399.0ms (45.8% of total)
ival-mult: 213.0ms (24.5% of total)
ival-exp: 109.0ms (12.5% of total)
ival-add: 85.0ms (9.8% of total)
ival-sub: 46.0ms (5.3% of total)
const: 16.0ms (1.8% of total)
backward-pass: 4.0ms (0.5% of total)
Bogosity

preprocess253.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
989×fma-neg
725×fma-define
264×times-frac
215×distribute-lft-neg-in
170×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036316
1111308
2397308
3986298
41988294
53213294
63708294
74185294
84839294
94992294
105009294
115009294
125041294
135070294
145070294
Stop Event
1×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)

explain150.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
01(1739.5280627184013 426.8987525686114)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)))
Results
103.0ms512×0valid
Compiler

Compiled 96 to 61 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 20.0ms (29.2% of total)
ival-sub: 15.0ms (21.9% of total)
ival-sin: 14.0ms (20.4% of total)
ival-exp: 12.0ms (17.5% of total)
ival-add: 5.0ms (7.3% of total)
const: 2.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

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)

localize201.0ms (3.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
188.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 9.0ms (42.9% of total)
ival-mult: 6.0ms (28.6% of total)
ival-exp: 3.0ms (14.3% of total)
ival-add: 1.0ms (4.8% of total)
const: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.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)))))>
Calls

6 calls:

TimeVariablePointExpression
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
re
@-inf
(* (* 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)))

rewrite151.0ms (2.4%)

Algorithm
1×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
01644
120244
2330644
Stop Event
1×unsound
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.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)))

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
510×fma-define
395×associate-*r*
328×associate-*r/
324×associate-*l/
307×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031556
13201402
211021402
341771402
Stop Event
1×node limit
Counts
46 → 48
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)))))
(+.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)))
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 (*.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))) #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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 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 #s(literal 1/2 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #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 (+.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))
(+.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)))
(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)

eval9.0ms (0.1%)

Compiler

Compiled 711 to 374 computations (47.4% saved)

prune12.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New42648
Fresh000
Picked011
Done000
Total42749
Accuracy
100.0%
Counts
49 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶17.8%
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶90.7%
(+.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)))))))
▶11.3%
(+.f64 (sin.f64 re) (sin.f64 re))
79.3%
(*.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)))
▶57.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶54.2%
(sin.f64 re)
Compiler

Compiled 161 to 118 computations (26.7% saved)

localize340.0ms (5.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓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))
✓99.8%
(*.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))))
✓99.5%
(*.f64 #s(literal 1/24 binary64) (sin.f64 re))
✓99.4%
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
✓93.9%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))
Results
258.0ms256×0valid
Compiler

Compiled 197 to 108 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-mult: 142.0ms (64.8% of total)
ival-pow: 44.0ms (20.1% of total)
ival-add: 15.0ms (6.8% of total)
ival-sin: 8.0ms (3.7% of total)
const: 5.0ms (2.3% of total)
ival-exp: 3.0ms (1.4% of total)
ival-neg: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.4%)

Counts
6 → 61
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))>
#<alt (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (sin.f64 re))>
#<alt (*.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 (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))))>
Outputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 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)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/86400 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3628800 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/86400 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/24 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2880 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/144 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal -1/120960 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/144 binary64)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal 1/720 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/720 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 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 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 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 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal 1/86400 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3628800 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120960 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal 1/86400 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)))))>
Calls

30 calls:

TimeVariablePointExpression
2.0ms
im
@0
(* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))
1.0ms
re
@inf
(* 1/720 (* (pow im 2) (sin re)))
1.0ms
re
@inf
(pow (* (sin re) -2) -2)
1.0ms
re
@0
(* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))
1.0ms
re
@-inf
(pow (* (sin re) -2) -2)

rewrite46.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
223×associate-*r*
179×log1p-expm1-u
179×expm1-log1p-u
175×add-exp-log
175×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028144
1398144
26888144
Stop Event
1×unsound
Counts
6 → 118
Calls
Call 1
Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))
(*.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 (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))))
(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))))
Outputs
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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)
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -4 binary64))
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -4 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 -4 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 -4 binary64)))
(fma.f64 #s(literal -4 binary64) re re)
(fma.f64 re #s(literal -4 binary64) re)

simplify134.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
822×fma-neg
812×distribute-lft-in
800×distribute-rgt-in
526×distribute-rgt-out
433×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02073197
16003088
220052987
360252987
478702987
Stop Event
1×node limit
Counts
179 → 136
Calls
Call 1
Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 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)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 re (+.f64 (*.f64 #s(literal -1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/86400 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3628800 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/86400 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/24 binary64) re)
(*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2880 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/144 binary64)))))
(*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal -1/120960 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/144 binary64)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (sin.f64 re)) (*.f64 #s(literal 1/24 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal 1/86400 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64)))))))
(*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/144 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3628800 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120960 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2880 binary64) (*.f64 #s(literal 1/86400 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.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))))
(+.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))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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)
(+.f64 re re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -4 binary64))
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(/.f64 (-.f64 re re) (-.f64 re re))
(pow.f64 re #s(literal -4 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 -4 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 -4 binary64)))
(fma.f64 #s(literal -4 binary64) re re)
(fma.f64 re #s(literal -4 binary64) re)
Outputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 re (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 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)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64))))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 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)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/720 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal -1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(*.f64 re (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/4320 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4320 binary64)) #s(literal 1/720 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/86400 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4320 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/86400 binary64))))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/86400 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(*.f64 re (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/86400 binary64)) #s(literal -1/4320 binary64)))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)) re)
(+.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))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) re)
(+.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))))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 re #s(literal 1/2 binary64))) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/2 binary64))) re)
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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 -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/373248000 binary64)
#s(literal 1/518400 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/720 binary64)
#s(literal 1/576 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 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)
(+.f64 re re)
(*.f64 #s(literal 2 binary64) re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -4 binary64))
(+.f64 (exp.f64 (log1p.f64 re)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 5 binary64))
(/.f64 re #s(literal -4 binary64))
(*.f64 re #s(literal -1/4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
#s(literal 1 binary64)
(/.f64 (-.f64 re re) (-.f64 re re))
#s(literal 1 binary64)
(pow.f64 re #s(literal -4 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 -4 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 -4 binary64)))
(pow.f64 re #s(literal -4 binary64))
(fma.f64 #s(literal -4 binary64) re re)
(*.f64 #s(literal -3 binary64) re)
(*.f64 re #s(literal -3 binary64))
(fma.f64 re #s(literal -4 binary64) re)
(fma.f64 #s(literal -4 binary64) re re)
(*.f64 #s(literal -3 binary64) re)
(*.f64 re #s(literal -3 binary64))

eval45.0ms (0.7%)

Compiler

Compiled 3475 to 2409 computations (30.7% saved)

prune33.0ms (0.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New12511136
Fresh011
Picked325
Done011
Total12815143
Accuracy
100.0%
Counts
143 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.2%
(pow.f64 re #s(literal -4 binary64))
6.2%
(/.f64 re (+.f64 re (-.f64 re re)))
▶2.6%
(/.f64 re #s(literal -4 binary64))
50.2%
(+.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))))))
45.4%
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
7.0%
(+.f64 re re)
▶3.7%
(+.f64 re #s(literal 5 binary64))
▶79.3%
(*.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)))
✓57.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2.6%
(*.f64 re #s(literal -3 binary64))
✓54.2%
(sin.f64 re)
36.4%
(log1p.f64 (expm1.f64 re))
18.2%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
▶25.8%
re
Compiler

Compiled 227 to 170 computations (25.1% saved)

localize86.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 im #s(literal 2 binary64))
✓94.0%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
Results
65.0ms256×0valid
Compiler

Compiled 51 to 35 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 17.0ms (41.2% of total)
ival-mult: 7.0ms (17% of total)
ival-sin: 7.0ms (17% of total)
ival-add: 5.0ms (12.1% of total)
ival-div: 3.0ms (7.3% of total)
const: 2.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
2 → 24
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 (pow.f64 im #s(literal 2 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)))))>
Calls

9 calls:

TimeVariablePointExpression
3.0ms
re
@0
(* (+ (* 1/2 (pow im 2)) 1) (sin re))
1.0ms
im
@inf
(* (+ (* 1/2 (pow im 2)) 1) (sin re))
1.0ms
re
@inf
(* (+ (* 1/2 (pow im 2)) 1) (sin re))
0.0ms
im
@0
(* (+ (* 1/2 (pow im 2)) 1) (sin re))
0.0ms
re
@-inf
(* (+ (* 1/2 (pow im 2)) 1) (sin re))

rewrite88.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
668×log1p-expm1-u
668×expm1-log1p-u
640×unpow-prod-down
366×log-prod
235×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
116741
2193141
Stop Event
1×node limit
Counts
2 → 77
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))
(pow.f64 im #s(literal 2 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 im #s(literal 6 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 im #s(literal 6 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)))
(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)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (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 1/3 binary64)))
(exp.f64 (*.f64 (log.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)))
(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) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 im) im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (sqrt.f64 im) (pow.f64 (*.f64 (sqrt.f64 im) im) #s(literal 1 binary64)))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) im) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify89.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
731×fma-define
454×associate-*r/
397×times-frac
315×distribute-lft-in
297×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02303030
14892988
213532942
353562919
Stop Event
1×node limit
Counts
101 → 115
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 (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 im #s(literal 6 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 im #s(literal 6 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)))
(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)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (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 1/3 binary64)))
(exp.f64 (*.f64 (log.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)))
(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) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 im) im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (sqrt.f64 im) (pow.f64 (*.f64 (sqrt.f64 im) im) #s(literal 1 binary64)))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) im) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 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 (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 (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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (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)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 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 1/2 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 #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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 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 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 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)) (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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))
(*.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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (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)) #s(literal 1/120 binary64)))))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 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 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 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)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 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) (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 binary64) (*.f64 #s(literal 1/2 binary64) (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 (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) (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 binary64) (*.f64 #s(literal 1/2 binary64) (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 (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) (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 binary64) (*.f64 #s(literal 1/2 binary64) (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 (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) (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 binary64) (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 re) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (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 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 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
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(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))

eval38.0ms (0.6%)

Compiler

Compiled 1949 to 1399 computations (28.2% saved)

prune27.0ms (0.4%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New1141115
Fresh077
Picked145
Done033
Total11515130
Accuracy
100.0%
Counts
130 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓18.2%
(pow.f64 re #s(literal -4 binary64))
▶6.2%
(/.f64 re (+.f64 re (-.f64 re re)))
✓2.6%
(/.f64 re #s(literal -4 binary64))
▶50.2%
(+.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))))))
45.4%
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
7.0%
(+.f64 re re)
✓3.7%
(+.f64 re #s(literal 5 binary64))
▶79.3%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #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)))
✓57.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶2.6%
(*.f64 re #s(literal -3 binary64))
✓54.2%
(sin.f64 re)
▶36.4%
(log1p.f64 (expm1.f64 re))
18.2%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
✓25.8%
re
Compiler

Compiled 209 to 154 computations (26.3% saved)

localize571.0ms (9.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.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)))
✓99.9%
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓99.7%
(*.f64 #s(literal 1/24 binary64) re)
✓94.1%
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓100.0%
(expm1.f64 re)
✓98.1%
(log1p.f64 (expm1.f64 re))
✓94.1%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
Results
409.0ms136×5exit
83.0ms120×0valid
Compiler

Compiled 181 to 112 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 383.0ms
backward-pass: 134.0ms (35% of total)
ival-mult: 107.0ms (28% of total)
ival-pow: 60.0ms (15.7% of total)
ival-add: 24.0ms (6.3% of total)
ival-log1p: 19.0ms (5% of total)
ival-expm1: 14.0ms (3.7% of total)
ival-sin: 12.0ms (3.1% of total)
const: 8.0ms (2.1% of total)
ival-div: 3.0ms (0.8% of total)
ival-sub: 2.0ms (0.5% of total)

series19.0ms (0.3%)

Counts
7 → 69
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))>
#<alt (log1p.f64 (expm1.f64 re))>
#<alt (expm1.f64 re)>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal 1/24 binary64) re)>
#<alt (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.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)))>
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 re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) re)))))))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 re) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
Calls

33 calls:

TimeVariablePointExpression
5.0ms
re
@0
(* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re)))
1.0ms
im
@inf
(* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re)))
1.0ms
re
@inf
(* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re)))
1.0ms
im
@0
(* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re)))
0.0ms
re
@-inf
(* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re)))

rewrite159.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
883×log1p-expm1-u
882×expm1-log1p-u
624×fma-define
318×fma-neg
163×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026148
1324143
24163139
Stop Event
1×node limit
Counts
7 → 179
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
(log1p.f64 (expm1.f64 re))
(expm1.f64 re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 #s(literal 1/24 binary64) re)
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 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)))
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 (*.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 (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))))
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(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 im (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 im (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (*.f64 im (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) im) (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) im) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) im) (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) im) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/720 binary64) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))) re (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) im) im (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) im) im (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))

simplify136.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
766×distribute-lft-in
748×times-frac
541×associate-*r*
502×associate-*l*
302×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04628151
110617961
241517915
Stop Event
1×node limit
Counts
248 → 275
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)))))
re
re
re
re
re
re
re
re
re
re
re
re
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) re)))))))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) re))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) re))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) re) (*.f64 #s(literal 1/24 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (-.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 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 (*.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 (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))
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(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 re #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) (pow.f64 im #s(literal 2 binary64)) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/24 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 im (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 im (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (*.f64 im (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) im) (*.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) im) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) im) (*.f64 (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) im) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/720 binary64) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64)))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64)))) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/720 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))) re (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (*.f64 re #s(literal 1/24 binary64)))) (sqrt.f64 (*.f64 re #s(literal 1/24 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) im) im (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) im) im (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #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 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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)) (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (/.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 (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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 re #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 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.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)))))))
(*.f64 re (+.f64 (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)) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 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 (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 -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 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)) (*.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 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 #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))))))))))))
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(*.f64 re (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 1/720 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal 1/720 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) im) im (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 re (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal 1/24 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 re #s(literal 1/24 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 re (*.f64 #s(literal 1/24 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (*.f64 re (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)))))

eval193.0ms (3.1%)

Compiler

Compiled 6269 to 4522 computations (27.9% saved)

prune174.0ms (2.8%)

Pruning

18 alts after pruning (7 fresh and 11 done)

PrunedKeptTotal
New2714275
Fresh033
Picked145
Done077
Total27218290
Accuracy
100.0%
Counts
290 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓18.2%
(pow.f64 re #s(literal -4 binary64))
✓6.2%
(/.f64 re (+.f64 re (-.f64 re re)))
✓2.6%
(/.f64 re #s(literal -4 binary64))
50.2%
(+.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 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
45.4%
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
7.0%
(+.f64 re re)
✓3.7%
(+.f64 re #s(literal 5 binary64))
✓79.3%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #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)))
✓57.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓2.6%
(*.f64 re #s(literal -3 binary64))
✓54.2%
(sin.f64 re)
34.8%
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/24 binary64)))))))))
33.1%
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
32.4%
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
✓36.4%
(log1p.f64 (expm1.f64 re))
18.2%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
✓25.8%
re
Compiler

Compiled 389 to 270 computations (30.6% saved)

regimes108.0ms (1.7%)

Counts
24 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/24 binary64)))))))))
(log1p.f64 (expm1.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
(+.f64 (sin.f64 re) (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 (+.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 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(+.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 re (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(+.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))))))
(+.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)))))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

60.0ms
re
11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms
im
10.0ms
(sin.f64 re)
9.0ms
(*.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)

regimes28.0ms (0.4%)

Counts
19 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/24 binary64)))))))))
(log1p.f64 (expm1.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
(+.f64 (sin.f64 re) (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 (+.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) (*.f64 im im)) #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 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
Calls

3 calls:

10.0ms
re
9.0ms
(sin.f64 re)
8.0ms
im
Results
AccuracySegmentsBranch
88.9%2re
92.6%3im
89.3%3(sin.f64 re)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.4%)

Counts
17 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/24 binary64)))))))))
(log1p.f64 (expm1.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
(+.f64 (sin.f64 re) (sin.f64 re))
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
Outputs
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
(pow.f64 re #s(literal -4 binary64))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))
Calls

3 calls:

10.0ms
(sin.f64 re)
8.0ms
im
8.0ms
re
Results
AccuracySegmentsBranch
79.3%1(sin.f64 re)
79.3%1re
86.9%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
Calls

3 calls:

6.0ms
(sin.f64 re)
5.0ms
im
5.0ms
re
Results
AccuracySegmentsBranch
65.0%2re
65.4%3(sin.f64 re)
79.7%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(log1p.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
Calls

1 calls:

5.0ms
im
Results
AccuracySegmentsBranch
69.6%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(sin.f64 re)
Outputs
(sin.f64 re)
Calls

3 calls:

4.0ms
(sin.f64 re)
4.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
54.2%1(sin.f64 re)
54.2%1re
54.2%1im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
Outputs
re
(/.f64 re (+.f64 re (-.f64 re re)))
Calls

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
28.4%2re
25.8%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -15.7b remaining (-33%)

Threshold costs -15.7b (-33%)

Counts
5 → 1
Calls
Call 1
Inputs
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
Outputs
re
Calls

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
25.8%1im
25.8%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch42.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
5.0357182407843576e+151
3.554771956510378e+154
20.0ms
2.7335899040152646e-8
0.02200289069784482
Results
28.0ms272×0valid
Compiler

Compiled 461 to 355 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (39.7% of total)
ival-exp: 5.0ms (24.8% of total)
ival-mult: 4.0ms (19.9% of total)
ival-add: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch179.0ms (2.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
159.0ms
5.0357182407843576e+151
3.554771956510378e+154
17.0ms
426.8987525686114
10639.043763530952
Results
167.0ms240×0valid
Compiler

Compiled 304 to 240 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 8.0ms (44.4% of total)
ival-exp: 4.0ms (22.2% of total)
ival-mult: 4.0ms (22.2% of total)
ival-sub: 1.0ms (5.5% of total)
ival-add: 1.0ms (5.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch184.0ms (3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
151.0ms
2.456387658102105e+141
8.713301425611016e+150
30.0ms
426.8987525686114
10639.043763530952
Results
25.0ms256×0valid
Compiler

Compiled 258 to 204 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (39.1% of total)
ival-exp: 4.0ms (22.3% of total)
ival-mult: 4.0ms (22.3% of total)
ival-sub: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
426.8987525686114
10639.043763530952
Results
25.0ms112×0valid
Compiler

Compiled 96 to 78 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 16.0ms (75% of total)
ival-exp: 2.0ms (9.4% of total)
ival-mult: 2.0ms (9.4% of total)
ival-sub: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
9.454706694783162e-12
1.0929558549412759e-10
Results
8.0ms96×0valid
Compiler

Compiled 103 to 69 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (39.3% of total)
ival-exp: 1.0ms (19.6% of total)
ival-sin: 1.0ms (19.6% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×*-commutative
7×+-commutative
4×if-if-or-not
3×sub-neg
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057397
186397
291397
394397
495397
Stop Event
1×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 5188146770730811/576460752303423488 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (*.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) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))))
(if (<=.f64 im #s(literal 950 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (pow.f64 re #s(literal -4 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))))
(if (<=.f64 im #s(literal 780 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 92000000000000000884890857876769727454214880543168275261728899875247823906703589263168603761992652259911826298997863445820863873471963209924608 binary64)) (pow.f64 re #s(literal -4 binary64)) (+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 950 binary64)) (sin.f64 re) (pow.f64 re #s(literal -4 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 8356095265176317/77371252455336267181195264 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 5188146770730811/576460752303423488 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (*.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) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))))
(if (or (<=.f64 im #s(literal 5188146770730811/576460752303423488 binary64)) (not (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)))) (*.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(if (<=.f64 im #s(literal 950 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (pow.f64 re #s(literal -4 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) (sin.f64 re))))
(if (or (<=.f64 im #s(literal 950 binary64)) (not (<=.f64 im #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)))) (*.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1 binary64))) (pow.f64 re #s(literal -4 binary64)))
(if (<=.f64 im #s(literal 780 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 92000000000000000884890857876769727454214880543168275261728899875247823906703589263168603761992652259911826298997863445820863873471963209924608 binary64)) (pow.f64 re #s(literal -4 binary64)) (+.f64 re (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))))
(if (<=.f64 im #s(literal 780 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 92000000000000000884890857876769727454214880543168275261728899875247823906703589263168603761992652259911826298997863445820863873471963209924608 binary64)) (pow.f64 re #s(literal -4 binary64)) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))))))
(if (<=.f64 im #s(literal 950 binary64)) (sin.f64 re) (pow.f64 re #s(literal -4 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 8356095265176317/77371252455336267181195264 binary64)) re (/.f64 re (+.f64 re (-.f64 re re))))
re

soundness780.0ms (12.5%)

Rules
989×fma-neg
822×fma-neg
812×distribute-lft-in
800×distribute-rgt-in
725×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036316
1111308
2397308
3986298
41988294
53213294
63708294
74185294
84839294
94992294
105009294
115009294
125041294
135070294
145070294
01641
116741
2193141
02073197
16003088
220052987
360252987
478702987
028144
1398144
26888144
01031556
13201402
211021402
341771402
Stop Event
1×fuel
1×node limit
1×unsound
1×node limit
1×node limit
1×saturated
Compiler

Compiled 251 to 155 computations (38.2% saved)

preprocess71.0ms (1.1%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 456 to 312 computations (31.6% saved)

end0.0ms (0%)

Profiling

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