math.cos on complex, real part

Time bar (total: 8.3s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
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 13 to 12 computations (7.7% saved)

sample1.7s (20.2%)

Memory
18.3MiB live, 1 989.0MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 892.0ms
ival-exp: 245.0ms (27.5% of total)
ival-mult: 229.0ms (25.7% of total)
ival-cos: 209.0ms (23.4% of total)
ival-add: 162.0ms (18.2% of total)
ival-neg: 35.0ms (3.9% of total)
ival-true: 6.0ms (0.7% of total)
...in/eval/compile.rkt:110:19: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess445.0ms (5.4%)

Memory
-9.7MiB live, 111.9MiB allocated
Algorithm
egg-herbie
Rules
830×fma-define
412×fmm-def
102×times-frac
96×associate-*r*
87×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
1100308
2280308
3673298
41117294
51661294
62231294
72749294
82903294
92917294
102917294
112917294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 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))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 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 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (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 #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 #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 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.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 (neg.f64 re)) (exp.f64 re)))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(abs re)

(abs im)

explain255.0ms (3.1%)

Memory
4.6MiB live, 316.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(cos.f64 re)
00-0-im
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-01255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-010
Precision?
0.0
Recall?
0/0
Samples
183.0ms512×0valid
Compiler

Compiled 96 to 44 computations (54.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 12.0ms (39% of total)
ival-exp: 7.0ms (22.8% of total)
ival-mult: 6.0ms (19.5% of total)
ival-add: 2.0ms (6.5% of total)
ival-neg: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 35 to 15 computations (57.1% saved)

prune1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify21.0ms (0.2%)

Memory
-9.8MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Rules
50×fma-define
26×associate-*r*
20×associate-*l*
16×*-commutative
10×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016128
133128
279128
3132126
4165126
5200126
6232126
7243126
8245126
9250126
10250126
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.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))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize49.0ms (0.6%)

Memory
-2.8MiB live, 99.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy100.0%
(cos.f64 re)
Samples
32.0ms256×0valid
Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 15.0ms (61.4% of total)
ival-exp: 3.0ms (12.3% of total)
ival-mult: 3.0ms (12.3% of total)
ival-add: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-10.5MiB live, 28.4MiB allocated
Counts
6 → 56
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch) () ())
#s(alt (cos.f64 re) (patch) () ())
#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())
#s(alt (exp.f64 (neg.f64 im)) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())
#s(alt (exp.f64 im) (patch) () ())
Outputs
#s(alt #s(literal 1/2 binary64) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch) () ())) ())
#s(alt #s(literal 1 binary64) (taylor () 0 re) (#s(alt (cos.f64 re) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (taylor () 0 re) (#s(alt (cos.f64 re) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (taylor () 0 re) (#s(alt (cos.f64 re) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (taylor () 0 re) (#s(alt (cos.f64 re) (patch) () ())) ())
#s(alt #s(literal 2 binary64) (taylor () 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (taylor () 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))) (taylor () 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64)))))))) (taylor () 0 im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (taylor () inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (taylor () inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (taylor () inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (taylor () inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))) (taylor () -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))) (taylor () -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))) (taylor () -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))) (taylor () -inf im) (#s(alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (patch) () ())) ())
#s(alt #s(literal 1 binary64) (taylor () 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)) (taylor () 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))) (taylor () 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (taylor () 0 im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (exp.f64 (*.f64 #s(literal -1 binary64) im)) (taylor () -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (exp.f64 (*.f64 #s(literal -1 binary64) im)) (taylor () -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (exp.f64 (*.f64 #s(literal -1 binary64) im)) (taylor () -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (exp.f64 (*.f64 #s(literal -1 binary64) im)) (taylor () -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt #s(literal 1 binary64) (taylor () 0 im) (#s(alt (exp.f64 im) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) im) (taylor () 0 im) (#s(alt (exp.f64 im) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (taylor () 0 im) (#s(alt (exp.f64 im) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))) (taylor () 0 im) (#s(alt (exp.f64 im) (patch) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
2.0ms
re
@0
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
im
@inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
im
@-inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite224.0ms (2.7%)

Memory
6.8MiB live, 361.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
100×associate-*r*
90×add-exp-log
90×add-log-exp
90×log1p-expm1-u
90×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01685
120285
2330685
Stop Event
unsound
Counts
6 → 72
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 im)
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)

simplify92.0ms (1.1%)

Memory
-11.3MiB live, 102.7MiB allocated
Algorithm
egg-herbie
Rules
719×fma-define
719×associate-*r/
557×associate-*r*
375×distribute-rgt-out
281×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01973069
15052795
216102620
350372588
Stop Event
node limit
Counts
128 → 141
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 #s(literal 1/48 binary64) (exp.f64 im) (/.f64 #s(literal 1/48 binary64) (exp.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (pow.f64 re #s(literal 4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
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(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

eval18.0ms (0.2%)

Memory
22.3MiB live, 60.9MiB allocated
Compiler

Compiled 2 342 to 522 computations (77.7% saved)

prune71.0ms (0.9%)

Memory
1.5MiB live, 89.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1356141
Fresh000
Picked011
Done000
Total1357142
Accuracy
100.0%
Counts
142 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
66.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
60.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
68.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
49.6%
(cos.f64 re)
Compiler

Compiled 161 to 122 computations (24.2% saved)

simplify157.0ms (1.9%)

Memory
4.4MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 im im #s(literal 2 binary64))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff0
(exp.f64 im)
cost-diff0
(+.f64 #s(literal 3 binary64) (exp.f64 im))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(exp.f64 im)
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(cos.f64 re)
cost-diff0
(exp.f64 (cos.f64 re))
cost-diff6464
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff12800
(log.f64 (exp.f64 (cos.f64 re)))
cost-diff12800
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
Rules
1 164×fma-define
454×distribute-lft-in
338×distribute-rgt-in
283×times-frac
265×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027417
172417
2168413
3284409
4411409
5908409
61619409
72256409
82571409
94872409
105851409
116603409
127743409
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.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))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
(+.f64 (exp.f64 im) #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize87.0ms (1.1%)

Memory
-17.5MiB live, 218.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 im im #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(exp.f64 (cos.f64 re))
accuracy99.5%
(log.f64 (exp.f64 (cos.f64 re)))
Samples
54.0ms256×0valid
Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 9.0ms (27.9% of total)
ival-add: 6.0ms (18.6% of total)
ival-exp: 6.0ms (18.6% of total)
ival-cos: 6.0ms (18.6% of total)
ival-log: 3.0ms (9.3% of total)
ival-neg: 1.0ms (3.1% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-3.1MiB live, 38.3MiB allocated
Counts
10 → 140
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())
#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())
#s(alt (exp.f64 (cos.f64 re)) (patch) () ())
#s(alt (neg.f64 im) (patch) () ())
#s(alt (+.f64 #s(literal 3 binary64) (exp.f64 im)) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (patch) () ())
#s(alt (fma.f64 im im #s(literal 2 binary64)) (patch) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())
Outputs
#s(alt #s(literal 1/2 binary64) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (taylor () -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (patch) () ())) ())
#s(alt #s(literal 1 binary64) (taylor () 0 re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (taylor () 0 re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (taylor () 0 re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) (taylor () 0 re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () -inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () -inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () -inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () -inf re) (#s(alt (log.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (cos.f64 re) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
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#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (taylor () inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (taylor () inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) (taylor () -inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) (taylor () -inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) (taylor () -inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) (taylor () -inf im) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 2 binary64) (cos.f64 re)) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (patch) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
11.0ms
re
@inf
(* (* 1/2 (cos re)) (+ 3 (exp im)))
2.0ms
re
@0
(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ (* im im) 2))
1.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ 3 (exp im)))
1.0ms
im
@inf
(* (* 1/2 (cos re)) (+ 3 (exp im)))

rewrite50.0ms (0.6%)

Memory
7.6MiB live, 45.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
186×associate-*r*
158×add-exp-log
158×log1p-expm1-u
158×expm1-log1p-u
157×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027114
1365114
26037114
Stop Event
unsound
Counts
10 → 317
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(log.f64 (exp.f64 (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 (cos.f64 re))
(neg.f64 im)
(+.f64 #s(literal 3 binary64) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal -28 binary64))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(pow.f64 #s(literal -28 binary64) (cos.f64 re))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))

simplify145.0ms (1.8%)

Memory
13.2MiB live, 210.8MiB allocated
Algorithm
egg-herbie
Rules
600×distribute-lft-in
587×distribute-rgt-in
539×associate-+l+
511×associate-+r+
432×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02936643
17945876
226575817
367615817
Stop Event
node limit
Counts
457 → 231
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(exp.f64 #s(literal 1 binary64))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))
(+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -31/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
#s(literal 4 binary64)
(+.f64 #s(literal 4 binary64) im)
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 re)))) #s(literal -28 binary64))
(*.f64 (exp.f64 (cos.f64 re)) (exp.f64 (cos.f64 re)))
(*.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(*.f64 #s(literal -28 binary64) (exp.f64 (cos.f64 re)))
(pow.f64 (exp.f64 (cos.f64 re)) (cos.f64 re))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal -28 binary64))
(pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(pow.f64 #s(literal -28 binary64) (cos.f64 re))
(sqrt.f64 (exp.f64 (cos.f64 re)))
(fabs.f64 (exp.f64 (cos.f64 re)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 re))))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (exp.f64 (cos.f64 re)))))
(cbrt.f64 (exp.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 re))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
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(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 5/2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 14 binary64)
#s(literal 20 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 56 binary64)
#s(literal 79 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 101 binary64)
#s(literal 343 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(+.f64 (cos.f64 re) #s(literal -28 binary64))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(+.f64 (cos.f64 re) #s(literal 28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (expm1.f64 (cos.f64 re)) #s(literal -29 binary64)))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(-.f64 (cos.f64 re) #s(literal 1 binary64))
(+.f64 (cos.f64 re) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(*.f64 #s(literal -27 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -27 binary64))

eval77.0ms (0.9%)

Memory
-15.1MiB live, 134.3MiB allocated
Compiler

Compiled 7 995 to 1 412 computations (82.3% saved)

prune294.0ms (3.6%)

Memory
7.9MiB live, 252.1MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New55414568
Fresh101
Picked055
Done011
Total55520575
Accuracy
100.0%
Counts
575 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
31.9%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
43.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
37.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
60.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
10.8%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
49.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
42.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
68.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
47.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
9.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
7.5%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
49.6%
(cos.f64 re)
28.6%
#s(literal 1 binary64)
Compiler

Compiled 346 to 280 computations (19.1% saved)

simplify190.0ms (2.3%)

Memory
14.5MiB live, 54.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-12416
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
cost-diff-6272
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) im)
cost-diff-6272
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
cost-diff0
(exp.f64 im)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
cost-diff12800
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
cost-diff19264
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff25600
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
cost-diff25600
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
Rules
975×fma-define
540×associate-+r-
459×sub-neg
357×+-commutative
300×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033437
182365
2216365
3481363
4975361
51449357
62035357
72636357
82784357
93063357
103551357
114243357
126319357
137412357
147936357
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
#s(literal 1/2 binary64)
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(expm1.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
#s(literal 3/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
#s(literal 4 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(exp.f64 (cos.f64 re))
(expm1.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
(log.f64 (exp.f64 (cos.f64 re)))
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
#s(literal 3/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))))
(*.f64 (cos.f64 re) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(cos.f64 re)
(log.f64 (exp.f64 (cos.f64 re)))
re
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) im)

localize447.0ms (5.4%)

Memory
-22.0MiB live, 95.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) im)
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
accuracy100.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
accuracy99.9%
(exp.f64 (cos.f64 re))
accuracy99.9%
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
accuracy99.5%
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
accuracy98.8%
(expm1.f64 (exp.f64 (cos.f64 re)))
Samples
64.0ms256×0valid
Compiler

Compiled 131 to 28 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 11.0ms (29.6% of total)
ival-exp: 6.0ms (16.1% of total)
ival-cos: 6.0ms (16.1% of total)
ival-add: 5.0ms (13.5% of total)
ival-log: 3.0ms (8.1% of total)
ival-log1p: 3.0ms (8.1% of total)
ival-expm1: 2.0ms (5.4% of total)
ival-neg: 1.0ms (2.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
12 → 130
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (patch) () ())
#s(alt (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (patch) () ())
#s(alt (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))) (patch) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (patch) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (patch) () ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (patch) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) im) (patch) () ())
#s(alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) (patch) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))) (patch) () ())
#s(alt (expm1.f64 (exp.f64 (cos.f64 re))) (patch) () ())
Outputs
#s(alt #s(literal 1/2 binary64) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (patch) () ())) ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (taylor () 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (patch) () ())) ())
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#s(alt (-.f64 (exp.f64 (exp.f64 (cos.f64 re))) #s(literal 1 binary64)) (taylor () -inf re) (#s(alt (expm1.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (-.f64 (exp.f64 (exp.f64 (cos.f64 re))) #s(literal 1 binary64)) (taylor () -inf re) (#s(alt (expm1.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
#s(alt (-.f64 (exp.f64 (exp.f64 (cos.f64 re))) #s(literal 1 binary64)) (taylor () -inf re) (#s(alt (expm1.f64 (exp.f64 (cos.f64 re))) (patch) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
2.0ms
im
@0
(* im (+ 1 (* 1/2 im)))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))
1.0ms
re
@0
(- (exp (exp (cos re))) 1)
1.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* 1/2 im)))))

rewrite146.0ms (1.8%)

Memory
-11.0MiB live, 26.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
216×associate-*r*
200×log1p-expm1-u
198×expm1-log1p-u
196×add-exp-log
194×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033166
1463166
27844166
Stop Event
unsound
Counts
12 → 394
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(expm1.f64 (exp.f64 (cos.f64 re)))
Outputs
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal 1 binary64)
#s(literal 5/2 binary64)
#s(literal 5 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal 1 binary64)
#s(literal 5/2 binary64)
#s(literal 5 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
(+.f64 (exp.f64 #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 #s(literal 1 binary64)))
(*.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (expm1.f64 #s(literal 1 binary64)) (expm1.f64 #s(literal 1 binary64)))
(/.f64 #s(literal -64 binary64) (+.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal -64 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (expm1.f64 #s(literal 1 binary64)))
(fabs.f64 (expm1.f64 #s(literal 1 binary64)))
(log.f64 (exp.f64 (expm1.f64 #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 #s(literal 1 binary64)))))
(cbrt.f64 (expm1.f64 #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 #s(literal 1 binary64))))
(exp.f64 (log.f64 (expm1.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))

simplify206.0ms (2.5%)

Memory
-18.4MiB live, 113.3MiB allocated
Algorithm
egg-herbie
Rules
607×distribute-lft-in
603×distribute-rgt-in
592×associate-/r/
424×associate-+l+
396×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02845281
17874535
227374415
366924231
Stop Event
node limit
Counts
524 → 215
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
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#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
#s(literal 1 binary64)
#s(literal 5/2 binary64)
#s(literal 5 binary64)
#s(literal -64 binary64)
#s(literal -16 binary64)
#s(literal -729/64 binary64)
#s(literal -243/32 binary64)
#s(literal -81/16 binary64)
#s(literal -4 binary64)
#s(literal -27/8 binary64)
#s(literal -9/4 binary64)
#s(literal -3/2 binary64)
#s(literal -3/4 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal 0 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 27/64 binary64)
#s(literal 4/9 binary64)
#s(literal 1/2 binary64)
#s(literal 9/16 binary64)
#s(literal 2/3 binary64)
#s(literal 3/4 binary64)
#s(literal 3/2 binary64)
#s(literal 27/16 binary64)
#s(literal 2 binary64)
#s(literal 9/4 binary64)
#s(literal 27/8 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 81/16 binary64)
#s(literal 117/16 binary64)
#s(literal 8 binary64)
#s(literal 351/32 binary64)
#s(literal 729/64 binary64)
#s(literal 16 binary64)
#s(literal 19683/512 binary64)
#s(literal 64 binary64)
#s(literal 256 binary64)
#s(literal 1024 binary64)
#s(literal 4096 binary64)
#s(literal 262144 binary64)
(+.f64 (exp.f64 #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 #s(literal 1 binary64)))
(*.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (expm1.f64 #s(literal 1 binary64)) (expm1.f64 #s(literal 1 binary64)))
(/.f64 #s(literal -64 binary64) (+.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal -64 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (expm1.f64 #s(literal 1 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (expm1.f64 #s(literal 1 binary64)))
(fabs.f64 (expm1.f64 #s(literal 1 binary64)))
(log.f64 (exp.f64 (expm1.f64 #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 #s(literal 1 binary64)))))
(cbrt.f64 (expm1.f64 #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 #s(literal 1 binary64))))
(exp.f64 (log.f64 (expm1.f64 #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))))))
(+.f64 (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.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))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
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(log.f64 (exp.f64 (expm1.f64 #s(literal 1 binary64))))
(expm1.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 #s(literal 1 binary64)))))
(expm1.f64 #s(literal 1 binary64))
(cbrt.f64 (expm1.f64 #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 #s(literal 1 binary64))))
(expm1.f64 #s(literal 1 binary64))
(exp.f64 (log.f64 (expm1.f64 #s(literal 1 binary64))))
(expm1.f64 #s(literal 1 binary64))
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(expm1.f64 #s(literal 1 binary64))

eval62.0ms (0.8%)

Memory
22.9MiB live, 60.5MiB allocated
Compiler

Compiled 6 062 to 1 424 computations (76.5% saved)

prune111.0ms (1.3%)

Memory
-11.2MiB live, 147.9MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New3208328
Fresh099
Picked235
Done156
Total32325348
Accuracy
100.0%
Counts
348 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
33.1%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
29.0%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
9.1%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
31.9%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
30.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
50.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
43.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
37.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
10.8%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
49.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
42.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
68.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
47.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
9.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
7.5%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
13.7%
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
49.6%
(cos.f64 re)
8.3%
#s(literal 2 binary64)
28.6%
#s(literal 1 binary64)
Compiler

Compiled 451 to 362 computations (19.7% saved)

simplify153.0ms (1.9%)

Memory
9.1MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff-12544
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
cost-diff-6272
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))
cost-diff0
(*.f64 im #s(literal 1/6 binary64))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
cost-diff0
(pow.f64 re #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff-12544
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
cost-diff-6272
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) im)
cost-diff12800
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
cost-diff19328
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
cost-diff25600
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
cost-diff25600
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
Rules
530×unsub-neg
505×fma-define
498×fmm-def
484×distribute-lft-in
439×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041643
1109527
2343527
3884523
42236523
53645523
64748523
75242523
85434523
95960523
107472523
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
#s(literal 1/2 binary64)
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(expm1.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
#s(literal 2 binary64)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
im
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) im)
#s(literal 1/4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
#s(literal 4 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
im
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (exp.f64 (cos.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 im #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im (+.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (+.f64 im (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
(exp.f64 (cos.f64 re))
(expm1.f64 (exp.f64 (cos.f64 re)))
(exp.f64 (cos.f64 re))
(cos.f64 re)
(log.f64 (exp.f64 (cos.f64 re)))
re
(+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))
(+.f64 (exp.f64 (neg.f64 im)) (+.f64 im #s(literal 1 binary64)))
(+.f64 im (+.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
im
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))
(fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) im) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(cos.f64 re)
(log.f64 (exp.f64 (cos.f64 re)))
re
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

localize271.0ms (3.3%)

Memory
10.2MiB live, 207.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
accuracy99.9%
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
accuracy99.5%
(*.f64 im #s(literal 1/6 binary64))
accuracy100.0%
(pow.f64 re #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) im)
accuracy100.0%
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
accuracy99.9%
(exp.f64 (cos.f64 re))
accuracy99.9%
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re))))
accuracy99.6%
(log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))
accuracy98.8%
(expm1.f64 (exp.f64 (cos.f64 re)))
Samples
228.0ms255×0valid
1.0ms5exit
Compiler

Compiled 191 to 37 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 167.0ms (80.7% of total)
ival-cos: 9.0ms (4.3% of total)
ival-add: 9.0ms (4.3% of total)
ival-exp: 5.0ms (2.4% of total)
...in/eval/compile.rkt:111:19: 4.0ms (1.9% of total)
ival-log1p: 3.0ms (1.4% of total)
ival-expm1: 3.0ms (1.4% of total)
ival-log: 3.0ms (1.4% of total)
ival-pow2: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-13.4MiB live, 26.4MiB allocated
Counts
13 → 148
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) im) (patch) () ())
#s(alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))) (patch) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)) (patch) () ())
#s(alt (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))) (patch) () ())
#s(alt (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch) () ())
#s(alt (pow.f64 re #s(literal 2 binary64)) (patch) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))) (patch) () ())
#s(alt (*.f64 im #s(literal 1/6 binary64)) (patch) () ())
#s(alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))) (patch) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))) (patch) () ())
#s(alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))) (patch) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())
Outputs
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))))))) (taylor () 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (taylor () -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im))) (patch) () ())) ())
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#s(alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))))) (taylor () 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))) (taylor () inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
#s(alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re))))) (taylor () -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))) (patch) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
23.0ms
im
@-inf
(* im (+ 1 (* im (+ 1/2 (* im 1/6)))))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ 4 (* im (+ 1 (* im (+ 1/2 (* im 1/6)))))))
1.0ms
re
@0
(* (* 1/2 (log (log (+ 1 (- (exp (exp (cos re))) 1))))) (+ (exp (neg im)) (+ 1 im)))
1.0ms
re
@inf
(* (* 1/2 (log (log (+ 1 (- (exp (exp (cos re))) 1))))) (+ (exp (neg im)) (+ 1 im)))

rewrite117.0ms (1.4%)

Memory
19.5MiB live, 136.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
298×log1p-expm1-u
296×expm1-log1p-u
288×add-exp-log
286×add-log-exp
284×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041332
1657280
Stop Event
node limit
Counts
13 → 318
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 im #s(literal 1/6 binary64))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (-.f64 (*.f64 (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(fma.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (+.f64 im #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 im #s(literal 1/4 binary64)) im))
(+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) im)) (-.f64 (*.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 (*.f64 im #s(literal 1/4 binary64)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 im #s(literal 1/4 binary64)) im)))))
(/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) im)) (*.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 (*.f64 im #s(literal 1/4 binary64)) im))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 im #s(literal 1/4 binary64)) im)))
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(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) im (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (-.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))

simplify226.0ms (2.7%)

Memory
-7.1MiB live, 234.5MiB allocated
Algorithm
egg-herbie
Rules
807×fma-define
392×*-commutative
355×distribute-rgt-in
336×distribute-lft-in
232×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092517638
1273616557
Stop Event
node limit
Counts
466 → 525
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/48 binary64) (*.f64 im (cos.f64 re))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) im))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) im))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))) im)))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(sqrt.f64 (pow.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/36 binary64))) (cbrt.f64 (*.f64 im #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 im #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 im (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 im (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(+.f64 im (*.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) #s(literal 1 binary64)))
(+.f64 im (*.f64 (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) im)
(+.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im)) (*.f64 im (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 im (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))) (-.f64 im (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im)))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 im (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) (*.f64 im (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) im (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (*.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64))) im))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (-.f64 (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))
(*.f64 (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 1 binary64) (+.f64 im (exp.f64 (neg.f64 im))))))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))

eval109.0ms (1.3%)

Memory
1.7MiB live, 193.3MiB allocated
Compiler

Compiled 13 243 to 2 917 computations (78% saved)

prune518.0ms (6.3%)

Memory
14.4MiB live, 260.6MiB allocated
Pruning

28 alts after pruning (17 fresh and 11 done)

PrunedKeptTotal
New6699678
Fresh4812
Picked235
Done088
Total67528703
Accuracy
100.0%
Counts
703 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
7.7%
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
15.2%
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
29.0%
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
12.8%
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
33.1%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
29.0%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
29.0%
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
29.0%
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
9.1%
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
31.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
30.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
99.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
49.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
42.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
68.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
47.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
9.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
7.5%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
13.7%
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
97.8%
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))
49.6%
(cos.f64 re)
8.3%
#s(literal 2 binary64)
28.6%
#s(literal 1 binary64)
Compiler

Compiled 741 to 383 computations (48.3% saved)

regimes229.0ms (2.8%)

Memory
-10.3MiB live, 148.1MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 re))) (+.f64 (exp.f64 im) (+.f64 im #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (+.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log1p.f64 (expm1.f64 (exp.f64 (cos.f64 re)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

159.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
21.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
13.0ms
re
12.0ms
(cos.f64 re)
11.0ms
im
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(cos.f64 re)
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes52.0ms (0.6%)

Memory
6.3MiB live, 123.9MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Calls

5 calls:

11.0ms
im
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
re
9.0ms
(cos.f64 re)
9.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
90.5%4re
99.6%2im
90.7%4(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
90.7%4(cos.f64 re)
99.6%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 24 to 18 computations (25% saved)

regimes22.0ms (0.3%)

Memory
-21.6MiB live, 58.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Calls

2 calls:

11.0ms
im
9.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.6%2im
99.6%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
14.7MiB live, 53.5MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Outputs
(cos.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Calls

2 calls:

10.0ms
im
7.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.2%2im
99.2%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
8.8MiB live, 47.5MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
Calls

2 calls:

10.0ms
im
7.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
96.7%3im
88.8%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.2%)

Memory
-3.7MiB live, 36.9MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 #s(literal -8 binary64)) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
Calls

1 calls:

11.0ms
im
Results
AccuracySegmentsBranch
96.5%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-12.6MiB live, 25.5MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
Outputs
(cos.f64 re)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))
Calls

1 calls:

9.0ms
im
Results
AccuracySegmentsBranch
94.1%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 im #s(literal 4 binary64)))
Outputs
(cos.f64 re)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
Calls

1 calls:

7.0ms
im
Results
AccuracySegmentsBranch
88.6%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Memory
-30.7MiB live, 48.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
Outputs
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
Calls

3 calls:

6.0ms
im
6.0ms
re
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
64.4%2re
67.7%4(cos.f64 re)
77.4%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
Calls

2 calls:

5.0ms
im
5.0ms
re
Results
AccuracySegmentsBranch
40.5%3re
56.6%3im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-31.2MiB live, 11.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Calls

1 calls:

5.0ms
im
Results
AccuracySegmentsBranch
55.1%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 im #s(literal 1/4 binary64)) im) (*.f64 #s(literal 1/2 binary64) im)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
Calls

1 calls:

4.0ms
im
Results
AccuracySegmentsBranch
52.4%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))
Calls

1 calls:

4.0ms
im
Results
AccuracySegmentsBranch
52.4%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-18.6MiB live, 20.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64)))
Calls

2 calls:

4.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
31.9%1re
34.2%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total -17.6b remaining (-38.6%)

Threshold costs -17.6b (-38.6%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/2 binary64)))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
28.6%1re
28.6%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.186180862861311
4.1535917105116944e+24
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.186180862861311
4.1535917105116944e+24
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.186180862861311
4.1535917105116944e+24
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch37.0ms (0.4%)

Memory
-23.6MiB live, 95.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
9.194064801533304e+91
4.326099041393802e+104
14.0ms
0.00021996975549096014
0.007183639667030679
Samples
22.0ms272×0valid
Compiler

Compiled 448 to 356 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (37.8% of total)
ival-exp: 4.0ms (25.2% of total)
ival-mult: 3.0ms (18.9% of total)
ival-add: 2.0ms (12.6% of total)
ival-neg: 1.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
18.4MiB live, 97.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
9.194064801533304e+91
4.326099041393802e+104
13.0ms
0.00021996975549096014
0.007183639667030679
Samples
22.0ms272×0valid
Compiler

Compiled 618 to 458 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (38.5% of total)
ival-exp: 4.0ms (25.7% of total)
ival-mult: 3.0ms (19.2% of total)
ival-add: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-10.0MiB live, 69.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0308951205626688e+154
1.0236132679998697e+155
14.0ms
0.4282077574565869
56.68601566420686
Samples
19.0ms208×0valid
Compiler

Compiled 258 to 213 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-exp: 4.0ms (30.7% of total)
ival-cos: 4.0ms (30.7% of total)
ival-mult: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
4.2MiB live, 43.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.4282077574565869
56.68601566420686
Samples
11.0ms112×0valid
Compiler

Compiled 114 to 99 computations (13.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (41.4% of total)
ival-exp: 2.0ms (27.6% of total)
ival-add: 1.0ms (13.8% of total)
ival-mult: 1.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
15.9MiB live, 94.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0308951205626688e+154
1.0236132679998697e+155
17.0ms
1.9599872410341354e+21
2.3517988619674574e+26
Samples
19.0ms240×0valid
Compiler

Compiled 631 to 324 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (38.3% of total)
ival-exp: 3.0ms (23% of total)
ival-mult: 3.0ms (23% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
12.1MiB live, 91.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0308951205626688e+154
1.0236132679998697e+155
18.0ms
0.4282077574565869
56.68601566420686
Samples
24.0ms208×0valid
Compiler

Compiled 546 to 286 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 8.0ms (48.3% of total)
ival-cos: 4.0ms (24.2% of total)
ival-mult: 2.0ms (12.1% of total)
ival-add: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-21.4MiB live, 56.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.0834489360253097e+88
4.2357272003020635e+88
13.0ms
58699292704045130.0
259386827459925900.0
Samples
16.0ms144×0valid
Compiler

Compiled 178 to 150 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 4.0ms (39.5% of total)
ival-cos: 3.0ms (29.6% of total)
ival-mult: 2.0ms (19.8% of total)
ival-add: 1.0ms (9.9% of total)
ival-neg: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
-7.1MiB live, 77.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.163466127722184e+152
1.0308951205626688e+154
15.0ms
58699292704045130.0
259386827459925900.0
Samples
23.0ms208×0valid
Compiler

Compiled 254 to 213 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 6.0ms (46.1% of total)
ival-exp: 2.0ms (15.4% of total)
ival-mult: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-3.4MiB live, 73.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.163466127722184e+152
1.0308951205626688e+154
13.0ms
58699292704045130.0
259386827459925900.0
Samples
16.0ms208×0valid
Compiler

Compiled 240 to 199 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 4.0ms (35.7% of total)
ival-exp: 3.0ms (26.8% of total)
ival-mult: 2.0ms (17.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-2.8MiB live, 40.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
58699292704045130.0
259386827459925900.0
Samples
10.0ms96×0valid
Compiler

Compiled 100 to 87 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (52.2% of total)
ival-cos: 2.0ms (26.1% of total)
ival-mult: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify32.0ms (0.4%)

Memory
26.1MiB live, 105.4MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative
28×+-commutative
15×neg-mul-1
14×unsub-neg
10×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291422
11911422
22081422
32251422
42481422
52831422
62911422
72921422
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5534023222112865/9223372036854775808 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 8116567392432203/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))))
(if (<=.f64 im #s(literal 2589569785738035/1125899906842624 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 180000000000000012012486656 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 1800000000000000036734268091356749536865349198279018194220950005634550109552660969059987118622194559499586678427946234747747775610260564593211031932633088 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 126000000000000000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 5534023222112865/9223372036854775808 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 8116567392432203/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 8116567392432203/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 8116567392432203/4611686018427387904 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (*.f64 #s(literal 1/2 binary64) im))))))
(if (<=.f64 im #s(literal 2589569785738035/1125899906842624 binary64)) (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(if (<=.f64 im #s(literal 180000000000000012012486656 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 180000000000000012012486656 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) im)) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im #s(literal 1/2 binary64))) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/4503599627370496 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) im)) (*.f64 (*.f64 im (*.f64 im #s(literal 1/4 binary64))) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 im (*.f64 im #s(literal 1/4 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 42000000000000000062349491945099564305961336508153476293612935287500522885546287164293120 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 1800000000000000036734268091356749536865349198279018194220950005634550109552660969059987118622194559499586678427946234747747775610260564593211031932633088 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 1800000000000000036734268091356749536865349198279018194220950005634550109552660969059987118622194559499586678427946234747747775610260564593211031932633088 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 59000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 330000000000000012936972930737916214446210513662125362091580445564781634486704210669119563648397948291754523802572569155593943235352488541583956418494464 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 im (*.f64 im #s(literal 1/4 binary64))))))
(if (<=.f64 im #s(literal 126000000000000000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal -1/2 binary64))))
#s(literal 1 binary64)

soundness1.0s (12.2%)

Memory
-18.7MiB live, 1 154.8MiB allocated
Rules
807×fma-define
719×fma-define
719×associate-*r/
607×distribute-lft-in
603×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02845281
17874535
227374415
366924231
02936643
17945876
226575817
367615817
01973069
15052795
216102620
350372588
01685
120285
2330685
092517638
1273616557
041332
1657280
Stop Event
fuel
node limit
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 735 to 251 computations (65.9% saved)

preprocess193.0ms (2.3%)

Memory
-14.3MiB live, 260.4MiB allocated
Remove

(abs im)

(abs re)

Compiler

Compiled 994 to 376 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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