math.sin on complex, real part

Time bar (total: 6.1s)

analyze0.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

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

sample1.7s (27.3%)

Results
804.0ms4199×0valid
558.0ms4057×0infinite
Precisions
Click to see histograms. Total time spent on operations: 916.0ms
ival-sin: 458.0ms (50% of total)
ival-mult: 227.0ms (24.8% of total)
ival-exp: 114.0ms (12.4% of total)
ival-sub: 48.0ms (5.2% of total)
ival-add: 48.0ms (5.2% of total)
const: 17.0ms (1.9% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess254.0ms (4.2%)

Algorithm
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
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)

explain154.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(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
52.0ms274×256infinite
51.0ms238×256valid
Compiler

Compiled 96 to 61 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-exp: 13.0ms (21% of total)
ival-sin: 13.0ms (21% of total)
ival-mult: 12.0ms (19.4% of total)
ival-add: 11.0ms (17.8% of total)
ival-sub: 10.0ms (16.2% of total)
const: 2.0ms (3.2% 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)

localize57.0ms (0.9%)

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
22.0ms137×256infinite
19.0ms119×256valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 9.0ms (40.8% of total)
ival-mult: 7.0ms (31.7% of total)
ival-exp: 3.0ms (13.6% of total)
ival-add: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
ival-neg: 1.0ms (4.5% 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)))

rewrite139.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
120244
2330644
Stop Event
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
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
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)

eval14.0ms (0.2%)

Compiler

Compiled 711 to 374 computations (47.4% saved)

prune11.0ms (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
21.1%
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
76.7%
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
10.1%
(+.f64 (sin.f64 re) (sin.f64 re))
76.7%
(*.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)))
65.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
47.4%
(sin.f64 re)
Compiler

Compiled 125 to 94 computations (24.8% saved)

localize144.0ms (2.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
99.7%
(pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
100.0%
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
92.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
Results
79.0ms202×256valid
18.0ms54×256infinite
Compiler

Compiled 90 to 41 computations (54.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 20.0ms (35.8% of total)
ival-pow: 18.0ms (32.2% of total)
ival-sin: 7.0ms (12.5% of total)
ival-add: 4.0ms (7.2% of total)
ival-exp: 3.0ms (5.4% of total)
const: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)

series16.0ms (0.3%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))>
#<alt (+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))>
#<alt (pow.f64 (*.f64 (sin.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
Outputs
#<alt (*.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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 #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 #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 #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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<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 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 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 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/6 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 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64))))))>
#<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 (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 (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 (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 #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

21 calls:

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

rewrite42.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
182×associate-*r*
158×log1p-expm1-u
158×expm1-log1p-u
155×add-exp-log
155×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
1350116
26017116
Stop Event
unsound
Counts
4 → 60
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (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)))
(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 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(+.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)

simplify99.0ms (1.6%)

Algorithm
egg-herbie
Rules
898×fma-define
549×associate-*r*
492×distribute-lft-in
488×associate-*l*
483×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01623525
14283264
212933191
358683171
Stop Event
node limit
Counts
144 → 104
Calls
Call 1
Inputs
(*.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 #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 #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 #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 #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 #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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (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 #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 #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 #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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))
(*.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 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 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 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 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 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/5040 binary64))))))) #s(literal 1/6 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) (*.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 (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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))
(+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (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 #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 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(+.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 #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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 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)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (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 -1/12 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 1/240 binary64))))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 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)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)))))))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 4 binary64))))))
(*.f64 re (+.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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/240 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(*.f64 re (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 -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 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 1/240 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 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/10080 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 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64))) (+.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64))))) (pow.f64 re #s(literal 3 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 (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 (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 (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 (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 (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 (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 (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 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(+.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 #s(literal 1/2 binary64) re))))
(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 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #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 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) re)) re)
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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 4 binary64)))))
(*.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.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 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.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 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.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 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.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 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
(*.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 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) re))
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
(+.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 (+.f64 re #s(literal 1 binary64)) #s(literal 4 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))

eval42.0ms (0.7%)

Compiler

Compiled 1418 to 1026 computations (27.6% saved)

prune27.0ms (0.5%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New9311104
Fresh011
Picked235
Done011
Total9516111
Accuracy
100.0%
Counts
111 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(pow.f64 re #s(literal -4 binary64))
5.5%
(/.f64 re (+.f64 re (-.f64 re re)))
2.5%
(/.f64 re #s(literal -4 binary64))
3.7%
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
76.7%
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
48.6%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 5 binary64))
76.7%
(*.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)))
65.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
2.5%
(*.f64 re #s(literal -3 binary64))
47.4%
(sin.f64 re)
36.4%
(log1p.f64 (expm1.f64 re))
25.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
23.8%
re
Compiler

Compiled 200 to 151 computations (24.5% saved)

localize111.0ms (1.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
92.2%
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
Results
65.0ms202×256valid
14.0ms54×256infinite
Compiler

Compiled 62 to 35 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 19.0ms (38.5% of total)
ival-pow: 11.0ms (22.3% of total)
ival-sin: 7.0ms (14.2% of total)
ival-add: 5.0ms (10.1% of total)
ival-div: 4.0ms (8.1% of total)
const: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)

series6.0ms (0.1%)

Counts
1 → 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))>
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

6 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite81.0ms (1.3%)

Algorithm
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
01631
116731
2193131
Stop Event
node limit
Counts
1 → 39
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))
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)))

simplify110.0ms (1.8%)

Algorithm
egg-herbie
Rules
556×associate-*r*
530×fma-define
483×associate-*l*
431×times-frac
262×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01392418
13252376
29672330
346442311
462872311
Stop Event
node limit
Counts
63 → 69
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)))
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 #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 (+.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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 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)))))))))))
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(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)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(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)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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)))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(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)))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 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 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))

eval30.0ms (0.5%)

Compiler

Compiled 1189 to 864 computations (27.3% saved)

prune20.0ms (0.3%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New67269
Fresh077
Picked055
Done044
Total671885
Accuracy
100.0%
Counts
85 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(pow.f64 re #s(literal -4 binary64))
5.5%
(/.f64 re (+.f64 re (-.f64 re re)))
2.5%
(/.f64 re #s(literal -4 binary64))
3.7%
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
76.7%
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
48.6%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 5 binary64))
76.7%
(*.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)))
65.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
32.5%
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
2.5%
(*.f64 re #s(literal -3 binary64))
47.4%
(sin.f64 re)
36.4%
(log1p.f64 (expm1.f64 re))
25.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
72.4%
(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)))
23.8%
re
Compiler

Compiled 214 to 166 computations (22.4% saved)

localize318.0ms (5.3%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
97.9%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
87.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
100.0%
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
99.5%
(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))
92.2%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))
70.4%
(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)))
Results
224.0ms202×256valid
32.0ms54×256infinite
Compiler

Compiled 109 to 74 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-pow: 90.0ms (53.2% of total)
ival-mult: 27.0ms (15.9% of total)
composed: 16.0ms (9.4% of total)
ival-add: 11.0ms (6.5% of total)
ival-sin: 8.0ms (4.7% of total)
ival-log: 5.0ms (3% of total)
const: 5.0ms (3% of total)
ival-exp: 4.0ms (2.4% of total)
ival-cbrt: 2.0ms (1.2% of total)

series20.0ms (0.3%)

Counts
6 → 96
Calls
Call 1
Inputs
#<alt (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)))>
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))>
#<alt (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))>
#<alt (+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))>
Outputs
#<alt (sin.f64 re)>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (+.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (sin.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (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 (pow.f64 (sin.f64 re) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 3/2 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))))) (pow.f64 (sin.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))))))>
#<alt (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 13/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -41/3024 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 13/120 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))>
#<alt #s(literal 5 binary64)>
#<alt (+.f64 #s(literal 5 binary64) re)>
#<alt (+.f64 #s(literal 5 binary64) re)>
#<alt (+.f64 #s(literal 5 binary64) re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
im
@-inf
(pow (* (+ (* 1/2 (pow im 2)) 1) (sin re)) 3)
2.0ms
re
@-inf
(cbrt (pow (* (+ (* 1/2 (pow im 2)) 1) (sin re)) 3))
1.0ms
re
@inf
(pow (* (+ (* 1/2 (pow im 2)) 1) (sin re)) 3)
1.0ms
re
@inf
(+ (+ re 1) 4)
1.0ms
re
@0
(pow (* (+ (* 1/2 (pow im 2)) 1) (sin re)) 3)

rewrite141.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
815×log1p-expm1-u
815×expm1-log1p-u
282×fma-define
232×expm1-undefine
231×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027138
1324138
23710138
Stop Event
node limit
Counts
6 → 164
Calls
Call 1
Inputs
(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)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))
(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))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
Outputs
(+.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 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(*.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)))
(*.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 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.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 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 re)))
(*.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))) (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 2 binary64)))
(*.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))) (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 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (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 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(*.f64 (sqrt.f64 (sin.f64 re)) (*.f64 (sqrt.f64 (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 re)))
(*.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))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (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 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(*.f64 (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 3/2 binary64)) #s(literal 1/3 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 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 re)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 re))) (sqrt.f64 (sin.f64 re)))
(*.f64 (*.f64 (sin.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 re) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (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 (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 (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 (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)))))
(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 (*.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)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re) (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))
(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 (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 (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 (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 (*.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)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))
(fma.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 (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 binary64))
(*.f64 #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 3 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 re) (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))))
(*.f64 (sin.f64 re) (*.f64 (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 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)) (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)))
(*.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 binary64))
(*.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)))
(*.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)))
(*.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)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (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 2 binary64)) (*.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))) (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))))
(*.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))) (*.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))) (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))))
(*.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 3/2 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 3/2 binary64)))
(*.f64 (pow.f64 (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 2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))
(*.f64 (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 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 3 binary64)))
(*.f64 (*.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)) #s(literal 1 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 (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)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (*.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)) (sin.f64 re)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.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)) (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 2 binary64))) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(*.f64 (*.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)) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re)))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 re))))
(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 6 binary64)))
(log.f64 (exp.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (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 3 binary64)))
(expm1.f64 (log1p.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))))
(log1p.f64 (expm1.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))))
(exp.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)))))
(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 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re #s(literal 5 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (+.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 re #s(literal -3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 5 binary64)))
(*.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 re #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re #s(literal 5 binary64))))
(*.f64 (sqrt.f64 (+.f64 re #s(literal 5 binary64))) (sqrt.f64 (+.f64 re #s(literal 5 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) #s(literal -16 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) #s(literal -16 binary64)) (+.f64 re #s(literal -3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) #s(literal -16 binary64))) (neg.f64 (+.f64 re #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 125 binary64)) (fma.f64 re re (-.f64 #s(literal 25 binary64) (*.f64 re #s(literal 5 binary64)))))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) re)))
(pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re #s(literal 5 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re #s(literal 5 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 re #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (+.f64 re #s(literal 5 binary64))))
(exp.f64 (log.f64 (+.f64 re #s(literal 5 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 re #s(literal 5 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re #s(literal 5 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re) #s(literal 4 binary64))
(fma.f64 re #s(literal 1 binary64) #s(literal 5 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) re)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) re)) #s(literal 4 binary64))
(fma.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 re) #s(literal 5 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (cbrt.f64 re) #s(literal 1 binary64)) #s(literal 5 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) re)) (sqrt.f64 (+.f64 #s(literal 1 binary64) re)) #s(literal 4 binary64))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) #s(literal 5 binary64))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)) #s(literal 5 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) #s(literal 4 binary64))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) #s(literal 4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 re)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -4 binary64)))
(*.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -4 binary64))) (cbrt.f64 (pow.f64 re #s(literal -8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) (cbrt.f64 (pow.f64 re #s(literal -4 binary64))))
(*.f64 (pow.f64 re #s(literal -2 binary64)) (pow.f64 re #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -4 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -4 binary64)))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -4 binary64))))

simplify185.0ms (3.1%)

Algorithm
egg-herbie
Rules
393×exp-prod
358×fma-neg
334×associate-+l+
327×cube-prod
306×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04358835
19928578
232048281
363758281
Stop Event
node limit
Counts
260 → 241
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)))))
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(sin.f64 re)
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(pow.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -4 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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #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 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1/120 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #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))))))))))))
(*.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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))))))
(*.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 (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 re (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)))) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (sin.f64 re) (+.f64 #s(literal 1 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)))
(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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 #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 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 re #s(literal -4 binary64))) (cbrt.f64 (pow.f64 re #s(literal -8 binary64))))
(pow.f64 re #s(literal -4 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -8 binary64))) (cbrt.f64 (pow.f64 re #s(literal -4 binary64))))
(pow.f64 re #s(literal -4 binary64))
(*.f64 (pow.f64 re #s(literal -2 binary64)) (pow.f64 re #s(literal -2 binary64)))
(pow.f64 re #s(literal -4 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal -4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -4 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 re #s(literal -4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal -4 binary64)))
(pow.f64 (E.f64) (*.f64 (log.f64 re) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))) (sqrt.f64 (*.f64 (log.f64 re) #s(literal -4 binary64))))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 re #s(literal -4 binary64))
(log.f64 (exp.f64 (pow.f64 re #s(literal -4 binary64))))
(pow.f64 re #s(literal -4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -4 binary64)))))
(pow.f64 re #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 3 binary64)))
(pow.f64 re #s(literal -4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -4 binary64))))
(+.f64 (pow.f64 re #s(literal -4 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -4 binary64))))
(pow.f64 re #s(literal -4 binary64))

eval95.0ms (1.6%)

Compiler

Compiled 3854 to 2946 computations (23.6% saved)

prune60.0ms (1%)

Pruning

25 alts after pruning (12 fresh and 13 done)

PrunedKeptTotal
New2338241
Fresh044
Picked145
Done099
Total23425259
Accuracy
100.0%
Counts
259 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
25.6%
(pow.f64 re #s(literal -4 binary64))
8.7%
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
5.1%
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
5.5%
(/.f64 re (+.f64 re (-.f64 re re)))
2.5%
(/.f64 re #s(literal -4 binary64))
25.6%
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
3.7%
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
76.7%
(+.f64 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
48.6%
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
6.3%
(+.f64 re re)
3.7%
(+.f64 re #s(literal 5 binary64))
76.7%
(*.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)))
65.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
32.5%
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
3.7%
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
2.5%
(*.f64 re #s(literal -3 binary64))
28.5%
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
47.4%
(sin.f64 re)
36.4%
(log1p.f64 (expm1.f64 re))
25.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal -4 binary64)))
51.1%
(cbrt.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
23.8%
re
5.0%
#s(literal 5 binary64)
Compiler

Compiled 403 to 291 computations (27.8% saved)

regimes50.0ms (0.8%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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 (sin.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(cbrt.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(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)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

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

regimes231.0ms (3.8%)

Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #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) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
Calls

3 calls:

173.0ms
re
31.0ms
(sin.f64 re)
24.0ms
im
Results
AccuracySegmentsBranch
89.9%2re
96.5%3im
91.8%5(sin.f64 re)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes24.0ms (0.4%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
Outputs
(sin.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
Calls

1 calls:

22.0ms
im
Results
AccuracySegmentsBranch
96.0%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (1%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(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 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
Outputs
(sin.f64 re)
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
Calls

3 calls:

24.0ms
(sin.f64 re)
21.0ms
im
15.0ms
re
Results
AccuracySegmentsBranch
70.4%6(sin.f64 re)
65.8%4re
87.3%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -8 binary64))
(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
(sin.f64 re)
(sqrt.f64 (pow.f64 re #s(literal -8 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
Calls

1 calls:

17.0ms
im
Results
AccuracySegmentsBranch
81.1%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.3%)

Counts
16 → 4
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 re))
Outputs
(sin.f64 re)
(log1p.f64 (expm1.f64 re))
(pow.f64 re #s(literal -4 binary64))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
Calls

1 calls:

17.0ms
im
Results
AccuracySegmentsBranch
81.1%4im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 re #s(literal -3 binary64)))))
Outputs
(sin.f64 re)
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
Calls

1 calls:

14.0ms
im
Results
AccuracySegmentsBranch
79.2%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
(/.f64 (fma.f64 re re #s(literal -25 binary64)) (-.f64 re #s(literal 5 binary64)))
Outputs
(sin.f64 re)
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))
Calls

1 calls:

10.0ms
im
Results
AccuracySegmentsBranch
70.2%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 5 binary64)
re
(*.f64 re #s(literal -3 binary64))
(+.f64 re #s(literal 5 binary64))
(+.f64 re re)
(/.f64 re #s(literal -4 binary64))
(+.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 re (+.f64 re (-.f64 re re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 #s(literal 1 binary64) re))))
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
Outputs
(sin.f64 re)
(pow.f64 re #s(literal -4 binary64))
Calls

1 calls:

7.0ms
im
Results
AccuracySegmentsBranch
70.2%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

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

3 calls:

4.0ms
im
4.0ms
re
4.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
47.4%1re
47.4%1(sin.f64 re)
47.4%1im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

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

2 calls:

5.0ms
re
5.0ms
im
Results
AccuracySegmentsBranch
23.8%1im
25.6%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
23.8%1re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 5 binary64)
Outputs
#s(literal 5 binary64)
Calls

2 calls:

0.0ms
re
0.0ms
im
Results
AccuracySegmentsBranch
5.0%1im
5.0%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch122.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
92.0ms
1.0597738082699661e+154
1.6978072325111115e+157
25.0ms
0.00012166211493245418
53776.87493338521
Results
20.0ms144×0valid
87.0ms128×0infinite
Compiler

Compiled 445 to 356 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 7.0ms (35.7% of total)
ival-mult: 5.0ms (25.5% of total)
ival-exp: 4.0ms (20.4% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch157.0ms (2.6%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
28.0ms
1.0597738082699661e+154
1.6978072325111115e+157
126.0ms
0.00012166211493245418
53776.87493338521
Results
20.0ms144×0valid
24.0ms96×0infinite
Compiler

Compiled 325 to 255 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 18.0ms (62.4% of total)
ival-exp: 4.0ms (13.9% of total)
ival-mult: 4.0ms (13.9% of total)
ival-sub: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.911673990563742e+150
1.0597738082699661e+154
28.0ms
0.00012166211493245418
53776.87493338521
Results
23.0ms160×0infinite
14.0ms112×0valid
Compiler

Compiled 271 to 225 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (34.3% of total)
ival-sin: 7.0ms (30% of total)
ival-exp: 4.0ms (17.2% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
3.270573638525644e+132
6.532912891605702e+142
25.0ms
0.00012166211493245418
53776.87493338521
Results
23.0ms189×0infinite
16.0ms115×0valid
Compiler

Compiled 317 to 255 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 8.0ms (34.9% of total)
ival-exp: 6.0ms (26.1% of total)
ival-mult: 5.0ms (21.8% of total)
ival-sub: 2.0ms (8.7% of total)
ival-add: 2.0ms (8.7% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch126.0ms (2.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
73.0ms
3.270573638525644e+132
6.532912891605702e+142
21.0ms
2.6024863224191847e+62
1.0709616394973258e+69
25.0ms
0.00012166211493245418
53776.87493338521
Results
88.0ms334×0infinite
15.0ms114×0valid
Compiler

Compiled 406 to 326 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 12.0ms (38.8% of total)
ival-mult: 7.0ms (22.6% of total)
ival-exp: 6.0ms (19.4% of total)
ival-sub: 2.0ms (6.5% of total)
ival-add: 2.0ms (6.5% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
3.270573638525644e+132
6.532912891605702e+142
25.0ms
0.00012166211493245418
53776.87493338521
Results
25.0ms189×0infinite
16.0ms115×0valid
Compiler

Compiled 336 to 274 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 11.0ms (45.2% of total)
ival-exp: 5.0ms (20.5% of total)
ival-mult: 5.0ms (20.5% of total)
ival-sub: 2.0ms (8.2% of total)
ival-add: 2.0ms (8.2% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
0.00012166211493245418
53776.87493338521
Results
17.0ms119×0valid
3.0ms25×0infinite
Compiler

Compiled 136 to 114 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (46.5% of total)
ival-exp: 3.0ms (23.3% of total)
ival-mult: 2.0ms (15.5% of total)
ival-sub: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
0.00012166211493245418
53776.87493338521
Results
12.0ms80×0valid
8.0ms64×0infinite
Compiler

Compiled 118 to 96 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 3.0ms (23.9% of total)
ival-exp: 3.0ms (23.9% of total)
ival-sin: 3.0ms (23.9% of total)
ival-mult: 2.0ms (16% of total)
ival-add: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
4.8578905891796713e+20
4.9288634766919356e+20
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
090736
1113736
2118736
3121736
4122736
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 8669969714643489/18446744073709551616 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 650 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10499999999999999718094661413780068350042817471749844014203039470325746486893213012200170839883152606401165003567092279881313941182142490834109641139421184 binary64)) (sqrt.f64 (pow.f64 re #s(literal -8 binary64))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312 binary64)) (sqrt.f64 (pow.f64 re #s(literal -8 binary64))) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(if (<=.f64 im #s(literal 550 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 269999999999999999179755764563624023604757878019076947177373696 binary64)) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im #s(literal 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168 binary64)) (pow.f64 re #s(literal -4 binary64)) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 3299999999999999922455164992118837605430961084769863643451817222949772198958526714368575556358934448522567929618340174024511637055078400 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))))
(if (<=.f64 im #s(literal 720 binary64)) (sin.f64 re) (pow.f64 re #s(literal -4 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 490000000000000000000 binary64)) re (/.f64 re (+.f64 re (-.f64 re re))))
re
#s(literal 5 binary64)
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 8358680908399641/72057594037927936 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 re)) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 8358680908399641/72057594037927936 binary64)) (*.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 8669969714643489/18446744073709551616 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 8669969714643489/18446744073709551616 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 15000000000000001298496038999574854037221349022080675856012921172039509217266793356799400692677585977189403561424740135192327629840926310196001356373819392 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 650 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 10499999999999999718094661413780068350042817471749844014203039470325746486893213012200170839883152606401165003567092279881313941182142490834109641139421184 binary64)) (sqrt.f64 (pow.f64 re #s(literal -8 binary64))) (*.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312 binary64)) (sqrt.f64 (pow.f64 re #s(literal -8 binary64))) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312 binary64)) (sqrt.f64 (pow.f64 re #s(literal -8 binary64))) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))))))
(if (<=.f64 im #s(literal 550 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 269999999999999999179755764563624023604757878019076947177373696 binary64)) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im #s(literal 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168 binary64)) (pow.f64 re #s(literal -4 binary64)) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(if (<=.f64 im #s(literal 550 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 269999999999999999179755764563624023604757878019076947177373696 binary64)) (log1p.f64 (expm1.f64 re)) (if (<=.f64 im #s(literal 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168 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 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 3299999999999999922455164992118837605430961084769863643451817222949772198958526714368575556358934448522567929618340174024511637055078400 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (+.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(if (<=.f64 im #s(literal 700 binary64)) (sin.f64 re) (if (<=.f64 im #s(literal 3299999999999999922455164992118837605430961084769863643451817222949772198958526714368575556358934448522567929618340174024511637055078400 binary64)) (/.f64 #s(literal 1 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 700 binary64)) (sin.f64 re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))))
(if (<=.f64 im #s(literal 720 binary64)) (sin.f64 re) (pow.f64 re #s(literal -4 binary64)))
(sin.f64 re)
(if (<=.f64 re #s(literal 490000000000000000000 binary64)) re (/.f64 re (+.f64 re (-.f64 re re))))
re
#s(literal 5 binary64)

soundness887.0ms (14.7%)

Rules
989×fma-neg
898×fma-define
815×log1p-expm1-u
815×expm1-log1p-u
725×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01623525
14283264
212933191
358683171
024116
1350116
26017116
01392418
13252376
29672330
346442311
462872311
01031556
13201402
211021402
341771402
036316
1111308
2397308
3986298
41988294
53213294
63708294
74185294
84839294
94992294
105009294
115009294
125041294
135070294
145070294
027138
1324138
23710138
Stop Event
fuel
node limit
saturated
node limit
node limit
unsound
node limit
Compiler

Compiled 434 to 280 computations (35.5% saved)

preprocess161.0ms (2.7%)

Remove

(negabs re)

(abs im)

Compiler

Compiled 710 to 478 computations (32.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...