math.exp on complex, real part

Time bar (total: 15.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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 7 to 7 computations (0% saved)

sample907.0ms (5.7%)

Memory
-1.2MiB live, 1 348.5MiB allocated
Samples
622.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-cos: 229.0ms (63.8% of total)
ival-exp: 70.0ms (19.5% of total)
ival-mult: 51.0ms (14.2% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain67.0ms (0.4%)

Memory
17.0MiB live, 136.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (cos.f64 im))
00-0-(cos.f64 im)
00-0-re
00-0-(exp.f64 re)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
40.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 10.0ms (58.6% of total)
ival-exp: 4.0ms (23.5% of total)
ival-mult: 3.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.1%)

Memory
7.7MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Rules
46×sub-neg
32×associate-*r*
28×+-commutative
28×associate-*l*
24×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
13929
27227
310827
416627
520627
625027
728427
829527
929527
055
085
195
095
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Symmetry

(abs im)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval2.0ms (0%)

Memory
-37.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 im)
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) (cos.f64 im))
Rules
lower-*.f32
lower-cos.f32
*-commutative
lift-exp.f64
lift-cos.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
1911
0911
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
re
(cos.f64 im)
im

localize39.0ms (0.2%)

Memory
-8.8MiB live, 37.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 re)
accuracy0
(cos.f64 im)
accuracy0.00390625
(*.f64 (exp.f64 re) (cos.f64 im))
Samples
15.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 5.0ms (56.9% of total)
ival-exp: 2.0ms (22.8% of total)
ival-mult: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())
Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt (*.f64 (exp.f64 re) (cos.f64 im)) (patch (*.f64 (exp.f64 re) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
re
@inf
(* (exp re) (cos im))
1.0ms
im
@0
(* (exp re) (cos im))
0.0ms
re
@-inf
(* (exp re) (cos im))
0.0ms
re
@0
(* (exp re) (cos im))
0.0ms
im
@inf
(* (exp re) (cos im))

simplify271.0ms (1.7%)

Memory
61.5MiB live, 423.9MiB allocated
Algorithm
egg-herbie
Rules
17 940×lower-fma.f64
17 940×lower-fma.f32
3 878×lower-*.f64
3 878×lower-*.f32
2 422×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064283
1178272
2461268
31054264
41447264
51857264
62380264
72886264
83528264
95578264
107980264
08041242
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)

rewrite16.0ms (0.1%)

Memory
-3.8MiB live, 35.7MiB allocated
Rules
lower-*.f32
lower-cos.f32
lift-exp.f64
lift-cos.f64
lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
089
199
099
Stop Event
iter limit
saturated
iter limit
Counts
3 → 4
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(cos.f64 im)
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(cos.f64 im)

eval19.0ms (0.1%)

Memory
-29.1MiB live, 13.9MiB allocated
Compiler

Compiled 384 to 39 computations (89.8% saved)

prune8.0ms (0.1%)

Memory
23.7MiB live, 23.8MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753
Accuracy
100.0%
Counts
53 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.3%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
49.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
73.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 127 to 81 computations (36.2% saved)

simplify9.0ms (0.1%)

Memory
-21.8MiB live, 17.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
cost-diff0
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(cos.f64 im)
cost-diff0
(+.f64 re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
cost-diff0
(cos.f64 im)
cost-diff0
#s(approx (* (exp re) (cos im)) (cos.f64 im))
cost-diff0
(exp.f64 re)
cost-diff0
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Rules
84×lower-*.f32
80×lower-fma.f32
76×lower-*.f64
74×lower-fma.f64
32×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023121
038121
160121
274121
398121
4103121
5106121
0106121
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(cos.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im
Outputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
(cos.f64 im)
im
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 re)
re
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im

localize56.0ms (0.4%)

Memory
25.4MiB live, 103.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0
(cos.f64 im)
accuracy0.00390625
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
accuracy24.42205211720156
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0
(*.f64 im #s(literal -1/2 binary64))
accuracy0
(exp.f64 re)
accuracy0.00390625
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy29.273990754319826
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0
(+.f64 re #s(literal 1 binary64))
accuracy0
(cos.f64 im)
accuracy0.00390625
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
accuracy32.102502567154644
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0
(cos.f64 im)
accuracy32.70284340787509
#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy0
(exp.f64 re)
accuracy17.22263392688954
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Samples
34.0ms256×0valid
Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35.8% of total)
ival-add: 5.0ms (25.6% of total)
ival-cos: 5.0ms (25.6% of total)
ival-exp: 2.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-16.1MiB live, 44.3MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())
#s(alt (cos.f64 im) (patch (cos.f64 im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re)))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re))))))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (cos im)) (exp.f64 re)) (patch #s(approx (* (exp re) (cos im)) (exp.f64 re)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (cos im) (exp re)) (taylor -inf re) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re)))) (taylor 0 im) (#s(alt #s(approx (* (exp re) (cos im)) (cos.f64 im)) (patch #s(approx (* (exp re) (cos im)) (cos.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow re 2)) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow re 2)) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2))))) (taylor -inf re) (#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (/ 1 re))) (taylor -inf re) (#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor 0 im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 im) (taylor -inf im) (#s(alt (*.f64 im #s(literal -1/2 binary64)) (patch (*.f64 im #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
Calls

60 calls:

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

simplify281.0ms (1.8%)

Memory
16.4MiB live, 400.7MiB allocated
Algorithm
egg-herbie
Rules
15 752×lower-fma.f64
15 752×lower-fma.f32
4 854×lower-*.f64
4 854×lower-*.f32
3 168×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0801441
12251382
25631362
315921342
443571342
555201342
664931342
771481342
080261228
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
re
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(+.f64 re #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))
(* -1/2 im)
(*.f64 im #s(literal -1/2 binary64))

rewrite285.0ms (1.8%)

Memory
-52.0MiB live, 466.7MiB allocated
Rules
6 728×lower-fma.f32
6 722×lower-fma.f64
4 484×lower-*.f32
4 476×lower-*.f64
2 600×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023102
038102
1102102
2610102
35950102
08141102
Stop Event
iter limit
node limit
iter limit
Counts
15 → 363
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im #s(literal -1/2 binary64))
Outputs
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(exp.f64 re)
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(cos.f64 im)
(*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) re)
(+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))))
(neg.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) re)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re)))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 re re #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re re) #s(literal -1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re re #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))) (fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (-.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 re re))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))) (fma.f64 re (*.f64 re re) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re (*.f64 re (*.f64 re re)) (fma.f64 re re #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 re (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))) (fma.f64 re re #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))))
(*.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (fma.f64 re re #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 re #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (fma.f64 re (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re re)) (*.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))))) (fma.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re)) (*.f64 re (*.f64 re (*.f64 re re)))))
(*.f64 (/.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (+.f64 (fma.f64 re re #s(literal -1 binary64)) re))) (+.f64 (fma.f64 re re #s(literal -1 binary64)) re))
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))) (+.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (exp.f64 re))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/4 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/4 binary64)))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (/.f64 (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (/.f64 (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) im #s(literal 1 binary64))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im im))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (/.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 (*.f64 re re) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64)))) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re (-.f64 (*.f64 re #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))

eval147.0ms (0.9%)

Memory
17.9MiB live, 137.9MiB allocated
Compiler

Compiled 13 352 to 1 298 computations (90.3% saved)

prune137.0ms (0.9%)

Memory
-26.0MiB live, 167.1MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New63312645
Fresh011
Picked145
Done011
Total63418652
Accuracy
100.0%
Counts
652 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
27.3%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
37.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
38.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
49.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
30.4%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
30.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
73.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
29.0%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
28.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 409 to 233 computations (43% saved)

simplify20.0ms (0.1%)

Memory
-0.7MiB live, 36.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 im im)
cost-diff0
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (exp re) #s(literal 1 binary64))
cost-diff0
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
Rules
552×lower-fma.f32
536×lower-fma.f64
250×lower-*.f32
242×lower-*.f64
160×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031251
053251
1101251
2177251
3294251
4351251
5387251
0387251
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize121.0ms (0.8%)

Memory
21.3MiB live, 189.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.341512658362326
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy29.273990754319826
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.0390625
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy0.2714929868126316
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy29.261119141427738
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy32.70284340787509
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy0
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy17.22263392688954
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy24.42205211720156
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy17.22263392688954
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
accuracy32.70421892767871
#s(approx (exp re) #s(literal 1 binary64))
accuracy0.0546875
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy0.0625
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.341512658362326
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Samples
62.0ms256×0valid
Compiler

Compiled 161 to 30 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 16.0ms (35.5% of total)
const: 13.0ms (28.8% of total)
ival-add: 8.0ms (17.7% of total)
ival-cos: 5.0ms (11.1% of total)
ival-exp: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-15.9MiB live, 28.8MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 im im) (patch (*.f64 im im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
3.0ms
re
@0
(+ (* re 1/2) 1)
0.0ms
im
@inf
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)
0.0ms
re
@inf
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
0.0ms
re
@-inf
(+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1)
0.0ms
im
@0
(+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1)

simplify314.0ms (2%)

Memory
23.7MiB live, 332.3MiB allocated
Algorithm
egg-herbie
Rules
16 204×lower-fma.f64
16 204×lower-fma.f32
5 162×lower-*.f64
5 162×lower-*.f32
1 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151795
13411732
29571704
332451668
461691668
082411504
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
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(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(*.f64 im (*.f64 im #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(*.f64 im (*.f64 im #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)

rewrite7.4s (46.2%)

Memory
8.6MiB live, 437.1MiB allocated
Rules
5 112×lower-*.f32
5 104×lower-*.f64
4 720×lower-fma.f32
4 704×lower-fma.f64
4 396×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031187
053187
1193187
21397187
08134187
Stop Event
iter limit
node limit
iter limit
Counts
18 → 357
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(-.f64 (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) re)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 re re))) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 re))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(/.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64))))))
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) (neg.f64 (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) #s(literal -1/48 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))

eval117.0ms (0.7%)

Memory
8.4MiB live, 282.3MiB allocated
Compiler

Compiled 22 624 to 1 524 computations (93.3% saved)

prune156.0ms (1%)

Memory
-19.8MiB live, 343.0MiB allocated
Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New82619845
Fresh358
Picked235
Done055
Total83132863
Accuracy
100.0%
Counts
863 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
32.5%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
39.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
38.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
38.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
37.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
30.7%
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.6%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
49.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
30.4%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
30.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.6%
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
16.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
15.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
73.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
30.8%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
29.0%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
12.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
12.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
15.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
Compiler

Compiled 1 231 to 628 computations (49% saved)

simplify400.0ms (2.5%)

Memory
18.3MiB live, 542.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff2496
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
cost-diff0
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
cost-diff0
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
cost-diff0
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
cost-diff0
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
cost-diff0
(+.f64 re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
cost-diff0
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
cost-diff0
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
Rules
26 416×lower-fma.f32
26 400×lower-fma.f64
4 346×lower-+.f32
4 340×lower-+.f64
3 210×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051490
083447
1160433
2311408
3902400
42755400
56174400
08295399
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
re
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
im
(*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))
(*.f64 im (*.f64 im #s(literal 1/24 binary64)))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
im
(*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
re
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
re
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
im
(*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))
(*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 im (*.f64 im #s(literal 1/24 binary64)))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
re
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
im
(*.f64 im #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize192.0ms (1.2%)

Memory
-14.6MiB live, 298.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy20.82951318600843
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy23.34151265836227
#s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
accuracy29.273990754319826
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy0.33203125
(*.f64 im #s(literal 1/24 binary64))
accuracy23.34151265836227
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy29.261119141427738
#s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy0.33203125
(*.f64 im #s(literal 1/24 binary64))
accuracy29.261119141427738
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
accuracy32.70284340787509
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
accuracy33.101405294054786
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
accuracy0
(+.f64 re #s(literal 1 binary64))
accuracy17.22263392688954
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
accuracy32.102502567154644
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy0.0703125
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy0.07421875
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy0.21484375
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy23.34151265836227
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
Samples
99.0ms255×0valid
1.0ms2valid
Compiler

Compiled 316 to 45 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-add: 35.0ms (45.3% of total)
ival-mult: 25.0ms (32.4% of total)
const: 6.0ms (7.8% of total)
ival-cos: 5.0ms (6.5% of total)
ival-exp: 3.0ms (3.9% of total)
ival-div: 2.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
14.6MiB live, 52.2MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (patch #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (patch #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 re #s(literal 1 binary64)) (patch (+.f64 re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (patch #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))) (patch #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))) (patch #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))) (patch (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (patch (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (patch (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 im #s(literal 1/24 binary64)) (patch (*.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3)))))) (taylor inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow re 2))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))))) (taylor inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow re 3)) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6))) (taylor -inf re) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (cos im))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) (patch (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow im 2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2))) (taylor 0 im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos im) (taylor -inf im) (#s(alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

90 calls:

TimeVariablePointExpression
1.0ms
re
@inf
(+ (+ 1 (* re (* re (+ (* re 1/6) 1/2)))) re)
0.0ms
re
@inf
(/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))
0.0ms
re
@-inf
(/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))
0.0ms
im
@0
(* im (* im (* im (* im 1/24))))
0.0ms
re
@0
(/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))

simplify245.0ms (1.5%)

Memory
-13.6MiB live, 346.3MiB allocated
Algorithm
egg-herbie
Rules
14 798×lower-fma.f64
14 798×lower-fma.f32
4 540×lower-*.f64
4 540×lower-*.f32
2 358×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01262371
13672290
210162246
328362210
463932210
081341985
Stop Event
iter limit
node limit
Counts
360 → 358
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(* 1/24 (pow im 4))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
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(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 re #s(literal 1/6 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)

rewrite594.0ms (3.7%)

Memory
-18.4MiB live, 510.0MiB allocated
Rules
5 490×lower-fma.f32
5 474×lower-fma.f64
4 946×lower-*.f32
4 924×lower-*.f64
4 258×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051381
083334
1321309
22213293
08875292
Stop Event
iter limit
node limit
iter limit
Counts
25 → 715
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
#s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/24 binary64))
#s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))
(+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))) (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))))
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (-.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (*.f64 re (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (-.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) #s(literal 1 binary64))) re)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) re)
(fma.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 re (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 re (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (/.f64 (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal 1 binary64))
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(fma.f64 (/.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
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(pow.f64 (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (*.f64 (*.f64 re #s(literal 1/2 binary64)) re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)))
(+.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)))
(fma.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re (*.f64 (*.f64 re #s(literal 1/2 binary64)) re))
(/.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(/.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))) (*.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 re re) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (-.f64 (*.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) re) (*.f64 (*.f64 re #s(literal 1/2 binary64)) re)) (*.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) re) (*.f64 (*.f64 re #s(literal 1/2 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (-.f64 (*.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re)
(*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) #s(literal 1 binary64))
(*.f64 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(+.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 re (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(fma.f64 (*.f64 re #s(literal 1/6 binary64)) re (*.f64 re #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (*.f64 re #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64)))) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64))))
(/.f64 (*.f64 re (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(/.f64 (*.f64 re (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))) (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 re (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (*.f64 re (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re)) (neg.f64 (-.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re)) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))))
(pow.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 im #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) im)
#s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))

eval351.0ms (2.2%)

Memory
33.1MiB live, 293.5MiB allocated
Compiler

Compiled 47 342 to 2 680 computations (94.3% saved)

prune337.0ms (2.1%)

Memory
-18.8MiB live, 433.7MiB allocated
Pruning

37 alts after pruning (27 fresh and 10 done)

PrunedKeptTotal
New1 307161 323
Fresh81119
Picked325
Done088
Total1 318371 355
Accuracy
100.0%
Counts
1 355 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
32.5%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.9%
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
39.6%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
39.3%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
37.4%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
38.1%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
61.8%
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
41.1%
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.7%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
31.6%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
63.5%
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im))
49.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
30.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
30.4%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
16.3%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
16.1%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
15.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
15.5%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
15.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
14.9%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
73.1%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
48.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
39.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
38.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
38.0%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
29.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
29.0%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
12.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
12.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
29.5%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
15.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
15.8%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
Compiler

Compiled 1 771 to 538 computations (69.6% saved)

regimes80.0ms (0.5%)

Memory
-4.0MiB live, 153.0MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

19.0ms
im
15.0ms
re
14.0ms
(cos.f64 im)
14.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
13.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1(exp.f64 re)
100.0%1(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes114.0ms (0.7%)

Memory
24.4MiB live, 102.1MiB allocated
Counts
53 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re)) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

5 calls:

48.0ms
re
22.0ms
(exp.f64 re)
14.0ms
im
14.0ms
(cos.f64 im)
12.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
97.5%4re
84.3%2im
99.8%5(*.f64 (exp.f64 re) (cos.f64 im))
94.7%3(exp.f64 re)
84.7%2(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes18.0ms (0.1%)

Memory
-9.5MiB live, 34.8MiB allocated
Counts
51 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

15.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.8%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory
-3.2MiB live, 34.8MiB allocated
Counts
50 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

13.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.8%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory
-3.1MiB live, 34.5MiB allocated
Counts
49 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

13.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.7%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes16.0ms (0.1%)

Memory
-0.6MiB live, 36.1MiB allocated
Counts
46 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Calls

1 calls:

11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.6%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes78.0ms (0.5%)

Memory
11.7MiB live, 113.8MiB allocated
Counts
45 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Calls

5 calls:

24.0ms
re
18.0ms
im
12.0ms
(cos.f64 im)
11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
58.7%2im
58.3%2(cos.f64 im)
74.3%3(exp.f64 re)
76.8%4re
78.1%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes71.0ms (0.4%)

Memory
-32.0MiB live, 125.7MiB allocated
Counts
44 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (*.f64 re (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (*.f64 (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal 1 binary64)) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

5 calls:

18.0ms
im
14.0ms
re
13.0ms
(exp.f64 re)
11.0ms
(cos.f64 im)
11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
45.8%2(cos.f64 im)
41.1%1im
54.2%3(exp.f64 re)
58.1%4(*.f64 (exp.f64 re) (cos.f64 im))
55.9%3re
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
32.7MiB live, 32.7MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.6%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes21.0ms (0.1%)

Memory
-26.2MiB live, 50.1MiB allocated
Counts
31 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

10.0ms
re
9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
52.6%3re
57.3%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
28 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.3%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
27 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.3%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes22.0ms (0.1%)

Memory
-27.3MiB live, 14.9MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

1 calls:

20.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
55.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (/ (+ (* (* re (+ (* re 1/6) 1/2)) (* re (+ (* re 1/6) 1/2))) -1) (+ (* re (+ (* re 1/6) 1/2)) -1))) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
55.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im #s(literal 1/24 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
54.7%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes38.0ms (0.2%)

Memory
-13.2MiB live, 24.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

4 calls:

28.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
(cos.f64 im)
3.0ms
re
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
44.4%2(cos.f64 im)
39.4%1re
39.4%1(exp.f64 re)
44.4%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
43.6%2(cos.f64 im)
43.8%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory
-14.0MiB live, 23.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
im
3.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
39.8%2im
42.4%2(cos.f64 im)
42.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
-12.4MiB live, 25.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
Calls

4 calls:

4.0ms
re
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
40.3%3re
38.2%2(exp.f64 re)
33.2%2(cos.f64 im)
42.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
42.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
Calls

3 calls:

2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
38.2%2re
29.0%1im
38.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes12.0ms (0.1%)

Memory
-23.9MiB live, 16.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
Calls

4 calls:

7.0ms
re
2.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.0%1(cos.f64 im)
29.0%1re
29.0%1(exp.f64 re)
29.0%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0%)

Memory
18.5MiB live, 18.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
im
1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.5%1im
28.5%1(cos.f64 im)
28.5%1re
28.5%1(exp.f64 re)
28.5%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
0.0ms
-inf
-0.9992494843625971
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
0.0ms
-inf
-0.9992494843625971
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
0.0ms
-inf
-0.9992494843625971
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
0.0ms
-inf
-0.9992494843625971
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994417306354707
0.9999999999984517
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
0.0ms
-inf
-0.9992494843625971
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch53.0ms (0.3%)

Memory
6.9MiB live, 116.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.61522796553907e+102
1.0249358012526661e+121
18.0ms
8.742440216254482e-16
8.652255047533076e-7
15.0ms
-247175111545337300.0
-44690436653.398895
Samples
33.0ms448×0valid
Compiler

Compiled 1 365 to 673 computations (50.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 16.0ms (67.4% of total)
ival-exp: 5.0ms (21% of total)
ival-mult: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994417306354707
0.9999999999984517
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994417306354707
0.9999999999984517
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9994417306354707
0.9999999999984517
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.880275049941036e+35
+inf
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.880275049941036e+35
+inf
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
0.0ms
-0.05999565264925982
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.009152918190918125
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000008652258792
2.880275049941036e+35
0.0ms
0.0
0.009152918190918125
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000008652258792
2.880275049941036e+35
0.0ms
0.0
0.009152918190918125
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000008652258792
2.880275049941036e+35
Compiler

Compiled 10 to 10 computations (0% saved)

simplify31.0ms (0.2%)

Memory
-13.3MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Rules
64×*-commutative_binary64
12×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871952
12271952
22341952
32381952
42401952
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 re #s(literal -45000000000 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 re #s(literal 5742397643169489/604462909807314587353088 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 500000000000000021210318687008980992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 500000000000000021210318687008980992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (+.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813685247/2251799813685248 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
(if (<=.f64 re #s(literal -45000000000 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 re #s(literal 5742397643169489/604462909807314587353088 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal -45000000000 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 re #s(literal 5742397643169489/604462909807314587353088 binary64)) #s(approx (* (exp re) (cos im)) (cos.f64 im)) (if (<=.f64 re #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re #s(approx (+ (* re 1/6) 1/2) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4501347827556811/4503599627370496 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re)))) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 500000000000000021210318687008980992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 500000000000000021210318687008980992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re)))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 500000000000000021210318687008980992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re 1/2) 1)) 1) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

soundness2.5s (15.4%)

Memory
-15.7MiB live, 1 701.7MiB allocated
Rules
17 940×lower-fma.f64
17 940×lower-fma.f32
16 204×lower-fma.f64
16 204×lower-fma.f32
15 752×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051381
083334
1321309
22213293
08875292
031187
053187
1193187
21397187
08134187
01262371
13672290
210162246
328362210
463932210
081341985
0801441
12251382
25631362
315921342
443571342
555201342
664931342
771481342
080261228
064283
1178272
2461268
31054264
41447264
51857264
62380264
72886264
83528264
95578264
107980264
08041242
01151795
13411732
29571704
332451668
461691668
082411504
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 849 to 1 111 computations (61% saved)

preprocess233.0ms (1.5%)

Memory
4.9MiB live, 205.3MiB allocated
Remove

(abs im)

Compiler

Compiled 2 722 to 298 computations (89.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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