math.sin on complex, imaginary part

Time bar (total: 10.6s)

analyze0.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

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

sample2.0s (19.4%)

Results
413.0ms4352×0valid
1.2s3904×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 651.0ms (48.4% of total)
ival-cos: 294.0ms (21.9% of total)
ival-mult: 183.0ms (13.6% of total)
ival-sub: 134.0ms (10% of total)
backward-pass: 64.0ms (4.8% of total)
const: 19.0ms (1.4% of total)
Bogosity

preprocess228.0ms (2.2%)

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

Useful iterations: 4 (0.0ms)

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

(abs re)

(negabs im)

explain252.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-re
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-im
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-(exp.f64 im)
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
158.0ms262×1valid
38.0ms250×0valid
Compiler

Compiled 96 to 61 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-exp: 86.0ms (56.5% of total)
ival-sub: 20.0ms (13.1% of total)
ival-cos: 18.0ms (11.8% of total)
ival-mult: 16.0ms (10.5% of total)
backward-pass: 10.0ms (6.6% of total)
const: 3.0ms (2% of total)

eval1.0ms (0%)

Compiler

Compiled 35 to 18 computations (48.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize205.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
51.2%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
14.0ms129×0valid
178.0ms127×1valid
Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-exp: 145.0ms (84.8% of total)
ival-cos: 8.0ms (4.7% of total)
ival-sub: 7.0ms (4.1% of total)
ival-mult: 5.0ms (2.9% of total)
backward-pass: 3.0ms (1.8% of total)
ival-neg: 2.0ms (1.2% of total)
const: 1.0ms (0.6% of total)

series6.0ms (0.1%)

Counts
2 → 32
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))>
Outputs
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
Calls

9 calls:

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

rewrite304.0ms (2.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
117450
2264150
Stop Event
unsound
Counts
2 → 16
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Rules
505×unsub-neg
451×distribute-lft-in
440×distribute-rgt-in
434×fma-define
394×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0921532
12411429
27841372
326551320
457881320
Stop Event
node limit
Counts
48 → 53
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))))
(*.f64 im (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (exp.f64 im)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 4 binary64)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/24 binary64)))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(fma.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval13.0ms (0.1%)

Compiler

Compiled 1049 to 619 computations (41% saved)

prune16.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654
Accuracy
99.9%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
55.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
3.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
4.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
Compiler

Compiled 135 to 108 computations (20% saved)

localize243.0ms (2.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
99.8%
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
99.7%
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
99.8%
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
100.0%
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
99.9%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
99.8%
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
Results
176.0ms256×0valid
Compiler

Compiled 187 to 116 computations (38% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 65.0ms (50.4% of total)
ival-pow: 33.0ms (25.6% of total)
ival-cos: 17.0ms (13.2% of total)
ival-sub: 5.0ms (3.9% of total)
const: 5.0ms (3.9% of total)
ival-add: 4.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.3%)

Counts
8 → 91
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64)))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/2160 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 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 -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/2160 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/12 binary64))))))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 im (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/360 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

42 calls:

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

rewrite170.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
942×log1p-expm1-u
942×expm1-log1p-u
290×fma-neg
208×associate-*r*
154×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024268
1348229
24788229
Stop Event
node limit
Counts
8 → 188
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
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(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (log.f64 (cos.f64 re))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal -1/3 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (log.f64 im)))
(exp.f64 (+.f64 (log.f64 im) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))) (*.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))) (-.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))))
(/.f64 (*.f64 im (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(/.f64 (*.f64 im (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))) im) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) im) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify487.0ms (4.6%)

Algorithm
egg-herbie
Rules
853×times-frac
475×associate-*r*
468×cancel-sign-sub-inv
414×associate-*l*
355×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050513695
1128412593
2461312423
Stop Event
node limit
Counts
279 → 306
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
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(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64)))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) (log.f64 im)))
(exp.f64 (+.f64 (log.f64 im) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))) (*.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))) (-.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im))))
(/.f64 (*.f64 im (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(/.f64 (*.f64 im (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))) im) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) im) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) im)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 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 1/6 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/72 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/72 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 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 1/2160 binary64)))))))
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(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 im (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))

eval110.0ms (1%)

Compiler

Compiled 7236 to 5264 computations (27.3% saved)

prune69.0ms (0.6%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New28620306
Fresh000
Picked145
Done011
Total28725312
Accuracy
100.0%
Counts
312 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
12.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)))
54.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64)))
66.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) im) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))))
29.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 4 binary64)))))
37.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
82.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (cos.f64 re)))
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
34.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
55.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
20.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))))
52.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
57.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))))))
83.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))))
63.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))))
99.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
91.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))))
31.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
3.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
4.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
99.2%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
47.4%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))))
Compiler

Compiled 787 to 623 computations (20.8% saved)

localize1.6s (14.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
99.9%
(*.f64 im (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
99.7%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
99.6%
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))
100.0%
(expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
99.9%
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
99.8%
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
100.0%
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
99.9%
(expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
99.9%
(*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
99.4%
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
Results
154.0ms137×0valid
1.2s118×5exit
2.0ms1valid
Compiler

Compiled 238 to 166 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 246.0ms (21.1% of total)
ival-pow: 221.0ms (19% of total)
ival-fma: 210.0ms (18% of total)
ival-log1p: 165.0ms (14.2% of total)
ival-mult: 156.0ms (13.4% of total)
backward-pass: 95.0ms (8.1% of total)
ival-expm1: 43.0ms (3.7% of total)
ival-cbrt: 16.0ms (1.4% of total)
const: 14.0ms (1.2% of total)

series38.0ms (0.4%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))>
#<alt (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))>
#<alt (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))>
#<alt (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))>
#<alt (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))>
#<alt (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))>
#<alt (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))>
#<alt (*.f64 im (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))>
#<alt (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))>
Outputs
#<alt (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
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#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cos.f64 re))))))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
Calls

66 calls:

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

rewrite180.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
647×log-prod
637×log1p-expm1-u
635×expm1-log1p-u
232×pow-to-exp
213×log-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027349
1297349
23031349
Stop Event
node limit
Counts
11 → 345
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
(expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 im (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
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(fma.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)) im))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)) im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) im)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 #s(literal -2 binary64) (cos.f64 re)))

simplify320.0ms (3%)

Algorithm
egg-herbie
Rules
665×associate-*r*
570×fma-define
549×associate-*l*
354×exp-prod
345×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072534359764851
1177734359764238
2629734359764234
Stop Event
node limit
Counts
609 → 389
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
Outputs
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) #s(literal -2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))) #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 (*.f64 im (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (cos.f64 re) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/3 binary64))) (neg.f64 (pow.f64 im #s(literal 3 binary64))))
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(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))

eval266.0ms (2.5%)

Compiler

Compiled 9154 to 6908 computations (24.5% saved)

prune80.0ms (0.8%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New3846390
Fresh6915
Picked325
Done055
Total39322415
Accuracy
100.0%
Counts
415 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)))
54.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64)))
66.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) im) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))))
82.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (cos.f64 re)))
55.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) (*.f64 im #s(literal -2 binary64)))))
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
42.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re))))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
34.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
55.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
52.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
55.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))))
96.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))))))
31.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
3.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
4.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
99.2%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
64.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
47.4%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))))
Compiler

Compiled 534 to 431 computations (19.3% saved)

localize433.0ms (4.1%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
99.9%
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
99.8%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))
99.9%
(pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))
99.9%
(*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))
83.6%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
100.0%
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
100.0%
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))
100.0%
(pow.f64 re #s(literal 2 binary64))
97.4%
(*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))
99.9%
(*.f64 im (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))))
99.7%
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))
99.1%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))
95.1%
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))))
Results
265.0ms197×0invalid
62.0ms59×0valid
Compiler

Compiled 247 to 168 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-pow: 142.0ms (53.8% of total)
ival-mult: 57.0ms (21.6% of total)
ival-fma: 27.0ms (10.2% of total)
ival-cbrt: 13.0ms (4.9% of total)
ival-cos: 8.0ms (3% of total)
const: 8.0ms (3% of total)
ival-sqrt: 5.0ms (1.9% of total)
ival-add: 4.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts
13 → 264
Calls
Call 1
Inputs
#<alt (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))>
#<alt (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))>
#<alt (*.f64 im (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))))>
#<alt (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))>
Outputs
#<alt (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 7/8 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))))) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -61/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 7/8 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))))) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -2/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -1/27 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
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#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 #s(literal -2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
Calls

72 calls:

TimeVariablePointExpression
8.0ms
im
@0
(pow (* (cos re) (+ (* -1/3 (pow im 2)) -2)) 9)
5.0ms
im
@inf
(* im (cbrt (cbrt (pow (* (cos re) (+ (* -1/3 (pow im 2)) -2)) 9))))
4.0ms
im
@0
(cbrt (pow (* (cos re) (* im -2)) 3))
2.0ms
re
@inf
(pow (* (cos re) (+ (* -1/3 (pow im 2)) -2)) 9)
2.0ms
re
@inf
(cbrt (pow (* (cos re) (* im -2)) 3))

rewrite208.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1017×log1p-expm1-u
299×prod-diff
242×associate-*r*
201×expm1-log1p-u
197×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036394
1509355
25786355
Stop Event
node limit
Counts
13 → 319
Calls
Call 1
Inputs
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))
(*.f64 im (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))))
(*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
Outputs
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 re) (sqrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 18 binary64))))
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 9 binary64) (log.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 18 binary64))))
(*.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (*.f64 im #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))) #s(literal 1 binary64))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
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simplify269.0ms (2.5%)

Algorithm
egg-herbie
Rules
589×distribute-lft-in
578×fma-define
561×distribute-rgt-in
478×associate-+r+
315×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09204294989900
122004294989339
246354294989287
Stop Event
node limit
Counts
583 → 546
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) im)
(*.f64 (*.f64 (cos.f64 re) (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 im #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 re) (sqrt.f64 (*.f64 im #s(literal -2 binary64)))) (sqrt.f64 (*.f64 im #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (*.f64 im #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.f64 im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (*.f64 im #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (*.f64 im #s(literal -2 binary64))) (sqrt.f64 (cos.f64 re)))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) im) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) (sqrt.f64 #s(literal -2 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal -2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))) #s(literal -2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) (/.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) (/.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) (/.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) (/.f64 (cbrt.f64 (cbrt.f64 #s(literal -1 binary64))) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 re) (cbrt.f64 (cbrt.f64 #s(literal -1 binary64)))))))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))

eval223.0ms (2.1%)

Compiler

Compiled 11355 to 8678 computations (23.6% saved)

prune153.0ms (1.4%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New5419550
Fresh3710
Picked325
Done257
Total54923572
Accuracy
100.0%
Counts
572 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
34.2%
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
12.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)))
54.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64)))
12.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))))
54.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) (cos.f64 re))))
55.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) (*.f64 im #s(literal -2 binary64)))))
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
83.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
55.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
11.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
52.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
38.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
55.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64)) #s(literal -512 binary64))))))
31.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
54.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (cos.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
4.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
64.7%
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
47.4%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))))
Compiler

Compiled 882 to 654 computations (25.9% saved)

regimes58.0ms (0.5%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (cos.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64)) #s(literal -512 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) (*.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 9 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) im) (*.f64 (cos.f64 re) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal -1/3 binary64))) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
Calls

6 calls:

13.0ms
re
13.0ms
im
12.0ms
(cos.f64 re)
11.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.2%1re
99.2%1im
99.2%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.2%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.2%1(cos.f64 re)
99.2%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes45.0ms (0.4%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal -8 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (cos.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 9 binary64)) #s(literal -512 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im #s(literal -2 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) (cos.f64 re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
Calls

6 calls:

11.0ms
re
11.0ms
im
9.0ms
(cos.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.2%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.2%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
99.2%1re
99.2%1im
99.2%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.2%1(cos.f64 re)
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes49.0ms (0.5%)

Counts
18 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 im #s(literal -1/12 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))
Calls

3 calls:

23.0ms
(cos.f64 re)
14.0ms
im
10.0ms
re
Results
AccuracySegmentsBranch
93.1%2re
96.3%3im
93.1%2(cos.f64 re)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes94.0ms (0.9%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
Calls

1 calls:

92.0ms
im
Results
AccuracySegmentsBranch
96.3%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (cbrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))
Calls

1 calls:

14.0ms
im
Results
AccuracySegmentsBranch
96.1%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.2%)

Counts
10 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
Calls

3 calls:

12.0ms
im
7.0ms
(cos.f64 re)
6.0ms
re
Results
AccuracySegmentsBranch
78.5%2re
82.2%4(cos.f64 re)
89.9%4im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes22.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
Calls

3 calls:

11.0ms
re
6.0ms
im
4.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
69.3%2re
69.6%2(cos.f64 re)
75.8%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.1%)

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

3 calls:

5.0ms
re
5.0ms
(cos.f64 re)
4.0ms
im
Results
AccuracySegmentsBranch
42.4%5re
45.3%3(cos.f64 re)
52.2%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
im
Results
AccuracySegmentsBranch
39.5%2im
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
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
Calls

2 calls:

0.0ms
im
0.0ms
re
Results
AccuracySegmentsBranch
31.5%1re
31.5%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.2788143530225755e+101
8.467769166371162e+101
18.0ms
12.710875511914121
3335.409747128198
Results
22.0ms224×0valid
Compiler

Compiled 425 to 351 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (35.2% of total)
ival-exp: 3.0ms (21.1% of total)
ival-mult: 3.0ms (21.1% of total)
ival-sub: 2.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2788143530225755e+101
8.467769166371162e+101
17.0ms
12.710875511914121
3335.409747128198
Results
24.0ms224×0valid
Compiler

Compiled 361 to 307 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 5.0ms (36.3% of total)
ival-exp: 3.0ms (21.8% of total)
ival-mult: 3.0ms (21.8% of total)
ival-sub: 2.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.2788143530225755e+101
8.467769166371162e+101
16.0ms
0.11046127891095439
12.710875511914121
Results
18.0ms208×0valid
Compiler

Compiled 292 to 249 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 4.0ms (31.8% of total)
ival-exp: 3.0ms (23.8% of total)
ival-mult: 3.0ms (23.8% of total)
ival-sub: 2.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
4.080353900009247e+143
5.205572257325902e+149
16.0ms
7.111077433352972e+130
2.5037199683141524e+133
16.0ms
0.11046127891095439
12.710875511914121
Results
41.0ms384×0valid
Compiler

Compiled 522 to 429 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-cos: 14.0ms (46.6% of total)
ival-mult: 6.0ms (20% of total)
ival-exp: 5.0ms (16.6% of total)
ival-sub: 4.0ms (13.3% of total)
const: 1.0ms (3.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.780567959376262e+36
6.838784016003793e+37
Results
12.0ms112×0valid
Compiler

Compiled 152 to 127 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 3.0ms (35.8% of total)
ival-cos: 3.0ms (35.8% of total)
ival-mult: 2.0ms (23.9% of total)
ival-sub: 1.0ms (11.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.11046127891095439
12.710875511914121
Results
10.0ms112×0valid
Compiler

Compiled 131 to 113 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 2.0ms (27.7% of total)
ival-cos: 2.0ms (27.7% of total)
ival-mult: 2.0ms (27.7% of total)
ival-sub: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
12.710875511914121
3335.409747128198
Results
12.0ms128×0valid
Compiler

Compiled 179 to 143 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.5% of total)
ival-exp: 2.0ms (23.7% of total)
ival-mult: 2.0ms (23.7% of total)
ival-sub: 1.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative
+-commutative
sub-neg
if-if-or-not
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086756
1116756
2121756
3123756
4124756
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(if (<=.f64 im #s(literal 480 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 430 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 25/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (if (<=.f64 im #s(literal 24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (if (<=.f64 im #s(literal 419999999999999975314710414123278505381459027899500225783391853043792530776653882795868256280434695534645230734468122534443096513809186398666752 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(if (<=.f64 im #s(literal 34000000000000000556857955178552229888 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(if (<=.f64 im #s(literal 5404319552844595/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(if (<=.f64 im #s(literal 186 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64))))))
(if (<=.f64 im #s(literal 480 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 im #s(literal -2 binary64))) (cos.f64 re)))))
(if (or (<=.f64 im #s(literal 480 binary64)) (not (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 im #s(literal -2 binary64)) (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))))
(if (<=.f64 im #s(literal 430 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 430 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 12 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (if (<=.f64 im #s(literal 840000000000000005587752963295414875664460292077328010172004158642260371855062370152714337991138476032 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64))))
(if (<=.f64 im #s(literal 25/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (if (<=.f64 im #s(literal 24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (if (<=.f64 im #s(literal 419999999999999975314710414123278505381459027899500225783391853043792530776653882795868256280434695534645230734468122534443096513809186398666752 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(if (<=.f64 im #s(literal 25/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (if (<=.f64 im #s(literal 24999999999999998037050912417674828751887456843243115376093777762462075401915081118214315403786272357012341114459461372633104982736896 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))) (if (<=.f64 im #s(literal 419999999999999975314710414123278505381459027899500225783391853043792530776653882795868256280434695534645230734468122534443096513809186398666752 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (*.f64 re re)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(if (<=.f64 im #s(literal 34000000000000000556857955178552229888 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(if (<=.f64 im #s(literal 34000000000000000556857955178552229888 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(if (<=.f64 im #s(literal 5404319552844595/2251799813685248 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(if (<=.f64 im #s(literal 186 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 re re) #s(literal -2 binary64)))))
(if (<=.f64 im #s(literal 186 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (*.f64 re re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -2 binary64)))

soundness1.7s (16.5%)

Rules
1396×fma-define
1017×log1p-expm1-u
942×log1p-expm1-u
942×expm1-log1p-u
853×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024268
1348229
24788229
072534359764851
1177734359764238
2629734359764234
036324
186308
2244308
3768304
41960294
53017294
63397294
73805294
84502294
95011294
105176294
115270294
125270294
135270294
036394
1509355
25786355
09204294989900
122004294989339
246354294989287
050513695
1128412593
2461312423
Stop Event
fuel
node limit
node limit
node limit
saturated
node limit
node limit
Compiler

Compiled 855 to 606 computations (29.1% saved)

preprocess212.0ms (2%)

Remove

(negabs im)

(abs re)

Compiler

Compiled 628 to 462 computations (26.4% saved)

end0.0ms (0%)

Profiling

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