math.exp on complex, real part

Time bar (total: 16.0s)

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)

sample834.0ms (5.2%)

Memory
4.6MiB live, 1 351.2MiB allocated
Samples
621.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-cos: 236.0ms (64.2% of total)
ival-exp: 73.0ms (19.9% of total)
ival-mult: 51.0ms (13.9% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess30.0ms (0.2%)

Memory
-24.8MiB live, 40.6MiB 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)

explain61.0ms (0.4%)

Memory
21.9MiB live, 139.5MiB 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
32.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 13.0ms (65.1% of total)
ival-exp: 4.0ms (20% of total)
ival-mult: 3.0ms (15% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

simplify6.0ms (0%)

Memory
-31.4MiB live, 9.2MiB 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

localize21.0ms (0.1%)

Memory
35.5MiB live, 35.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 re)
accuracy100.0%
(cos.f64 im)
accuracy100.0%
(*.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 (55% of total)
ival-exp: 2.0ms (22% of total)
ival-mult: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
-33.8MiB live, 5.4MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (exp.f64 re) (cos.f64 im))>
#<alt (exp.f64 re)>
#<alt (cos.f64 im)>
Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
Calls

12 calls:

TimeVariablePointExpression
44.0ms
re
@-inf
(* (exp re) (cos im))
1.0ms
re
@inf
(* (exp re) (cos im))
1.0ms
im
@0
(* (exp re) (cos im))
0.0ms
im
@inf
(* (exp re) (cos im))
0.0ms
re
@0
(* (exp re) (cos im))

simplify481.0ms (3%)

Memory
35.9MiB live, 660.6MiB 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)

rewrite17.0ms (0.1%)

Memory
5.8MiB live, 43.8MiB allocated
Algorithm
batch-egg-rewrite
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)

eval7.0ms (0%)

Memory
-21.3MiB live, 16.5MiB allocated
Compiler

Compiled 336 to 39 computations (88.4% saved)

prune7.0ms (0%)

Memory
21.4MiB live, 21.4MiB 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))
67.7%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
62.8%
(*.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))
60.3%
(*.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))
47.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
71.3%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Compiler

Compiled 115 to 81 computations (29.6% saved)

simplify15.0ms (0.1%)

Memory
-19.7MiB live, 21.4MiB 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

localize64.0ms (0.4%)

Memory
28.1MiB live, 140.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 im)
accuracy100.0%
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.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))
accuracy60.3%
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 im #s(literal -1/2 binary64))
accuracy100.0%
(exp.f64 re)
accuracy100.0%
(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy49.5%
#s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy100.0%
(cos.f64 im)
accuracy100.0%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
accuracy47.6%
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy100.0%
(cos.f64 im)
accuracy46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
accuracy100.0%
(exp.f64 re)
accuracy71.3%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
Samples
33.0ms256×0valid
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 (34.6% of total)
ival-cos: 6.0ms (29.7% of total)
ival-add: 5.0ms (24.7% of total)
ival-exp: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#<alt #s(approx (* (exp re) (cos im)) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt #s(approx (* (exp re) (cos im)) (cos.f64 im))>
#<alt (cos.f64 im)>
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))>
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<alt (*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos im) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<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))>
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<alt (*.f64 im #s(literal -1/2 binary64))>
Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
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)

simplify791.0ms (4.9%)

Memory
-82.2MiB live, 739.2MiB 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))

rewrite357.0ms (2.2%)

Memory
-7.0MiB live, 561.8MiB allocated
Algorithm
batch-egg-rewrite
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 (*.f64 im 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 (*.f64 im 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 (*.f64 im 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))
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(/.f64 #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) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.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)))
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(/.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)))
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(/.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))

eval115.0ms (0.7%)

Memory
-8.1MiB live, 155.1MiB allocated
Compiler

Compiled 12 589 to 1 297 computations (89.7% saved)

prune119.0ms (0.7%)

Memory
21.2MiB live, 180.0MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New63015645
Fresh011
Picked145
Done011
Total63121652
Accuracy
100.0%
Counts
652 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
32.4%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
62.8%
(*.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))
41.1%
(*.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))))
60.3%
(*.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))
35.4%
(*.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))))
39.9%
(*.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 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))))
39.2%
(*.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))))
47.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
29.2%
(*.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))))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (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))))
31.6%
(*.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))))
71.3%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
37.3%
#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))))
35.5%
#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))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
28.4%
#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))))
31.7%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
28.8%
#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 487 to 311 computations (36.1% saved)

simplify35.0ms (0.2%)

Memory
2.3MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos im) (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)))
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))) #s(approx (cos im) (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))))
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
(+.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))) #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 (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
#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))))
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
1 120×lower-fma.f32
1 104×lower-fma.f64
420×lower-*.f32
410×lower-*.f64
284×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033302
057302
1117302
2259302
3506302
4789302
5892302
6893302
0893302
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 (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 (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)
(*.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))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
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)))
(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)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (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))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (cos im) (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)))
(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))
(*.f64 im 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))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 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 (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 (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)
(*.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) (+.f64 re #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))))
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
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)))
#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)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (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))))
(*.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) (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) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#s(approx (cos im) (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)))
#s(approx (cos im) (fma.f64 (*.f64 im 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)))
(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))
(fma.f64 (*.f64 im 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 im 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))
(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))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize133.0ms (0.8%)

Memory
10.0MiB live, 315.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy99.6%
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
accuracy49.4%
#s(approx (cos im) (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)))
accuracy47.6%
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy49.5%
#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)))
accuracy47.6%
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy99.7%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy71.3%
#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))))
accuracy62.8%
#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)))
accuracy71.3%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
accuracy46.9%
#s(approx (exp re) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy99.7%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy62.8%
#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
73.0ms256×0valid
Compiler

Compiled 198 to 32 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 17.0ms (34.4% of total)
ival-add: 12.0ms (24.3% of total)
const: 11.0ms (22.2% of total)
ival-cos: 6.0ms (12.1% of total)
ival-exp: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-16.2MiB live, 21.7MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#<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))>
#<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)))>
#<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))>
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))>
#<alt #s(approx (exp re) #s(literal 1 binary64))>
#<alt #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))))>
#<alt (*.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))))>
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<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)))>
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (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))))>
#<alt #s(approx (cos im) (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)))>
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<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))>
#<alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))>
#<alt (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 im)>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* -1/720 (pow im 3))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* -1/720 (pow im 3))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (+ 1/24 (* -1/720 (pow im 2)))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* -1/720 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
im
@0
(* im (+ (* (* im im) -1/720) 1/24))
0.0ms
im
@inf
(* im (+ (* (* im im) -1/720) 1/24))
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
im
@-inf
(* im (+ (* (* im im) -1/720) 1/24))

simplify447.0ms (2.8%)

Memory
15.1MiB live, 737.9MiB allocated
Algorithm
egg-herbie
Rules
19 240×lower-fma.f64
19 240×lower-fma.f32
4 690×lower-*.f64
4 690×lower-*.f32
2 514×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251819
13661760
210151732
329241696
080061537
Stop Event
iter limit
node limit
Counts
276 → 274
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))
(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)))
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 (* -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)
1/2
(+ 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) (- (* 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 im)
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* -1/720 (pow im 3))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -1/720 (pow im 3))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
1/24
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(+ 1/24 (* -1/720 (pow im 2)))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -1/720 (pow im 2))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
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)
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)))
(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 #s(literal 1/6 binary64) (*.f64 re re))
(* (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 #s(literal 1/6 binary64) (*.f64 re re))
(* (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 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))
(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))
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 (* -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)
1/2
#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
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow im 2)) 1/2)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im 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 (*.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) (- (* 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))
(* 1/24 (pow im 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1/720 (pow im 3))
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1/720 (pow im 3))
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/720 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/720 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))

rewrite346.0ms (2.2%)

Memory
-24.0MiB live, 712.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 590×lower-fma.f32
7 574×lower-fma.f64
3 872×lower-/.f64
3 872×lower-*.f32
3 872×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033203
057203
1222203
21669203
08232203
Stop Event
iter limit
node limit
iter limit
Counts
18 → 358
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 (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 (*.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) (+.f64 re #s(literal 1 binary64)))
(+.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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (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))))
#s(approx (cos im) (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)))
(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))
(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 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re 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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)) (+.f64 re #s(literal 1 binary64)))
(+.f64 (/.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 (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))) (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(-.f64 (/.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 (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 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 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))))
(fma.f64 re (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 (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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) 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 (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 (*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 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 re (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 (*.f64 re re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))
(*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64))) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))))

eval123.0ms (0.8%)

Memory
3.5MiB live, 193.4MiB allocated
Compiler

Compiled 21 929 to 1 660 computations (92.4% saved)

prune127.0ms (0.8%)

Memory
3.6MiB live, 242.6MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New85919878
Fresh2911
Picked325
Done055
Total86435899
Accuracy
100.0%
Counts
899 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
32.4%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
62.8%
(*.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))
36.9%
(*.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))))
41.8%
(*.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 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
41.1%
(*.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))))
60.3%
(*.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))
35.4%
(*.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))))
39.9%
(*.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 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))))
39.2%
(*.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))))
50.1%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #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 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)))) (cos.f64 im))
62.8%
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
47.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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))))
13.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
71.3%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
29.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
37.3%
#s(approx (* (exp re) (cos im)) #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))))
35.5%
#s(approx (* (exp re) (cos im)) #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))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (/.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)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
30.5%
#s(approx (* (exp re) (cos im)) #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)))))
37.3%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
12.0%
#s(approx (* (exp re) (cos im)) #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))))
12.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
11.8%
#s(approx (* (exp re) (cos im)) #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))))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
28.4%
#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))))
31.7%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
28.8%
#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 1 141 to 672 computations (41.1% saved)

simplify77.0ms (0.5%)

Memory
-18.1MiB live, 72.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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 (*.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))))
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))) #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 (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
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))) #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))))
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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
Rules
1 128×lower-fma.f32
1 106×lower-fma.f64
436×lower-*.f32
420×lower-*.f64
288×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046400
081404
1160394
2311394
3588394
4853394
5929394
6930394
0930393
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(literal 1 binary64)
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(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)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#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)))
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 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))))
#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 (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)
(*.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 (*.f64 im im) #s(literal -1/720 binary64) #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 (*.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)))
(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))
(*.f64 im 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))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
Outputs
(*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) 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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) 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 (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) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))
(fma.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)
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
re
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 re re)
(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)
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 1 binary64))
re
#s(literal 1 binary64)
#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)))
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))
#s(literal -1/2 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(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 #s(literal 1/24 binary64)) #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)))
(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 (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)
(*.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 (*.f64 im im) #s(literal -1/720 binary64) #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 (*.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)))
(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))
(*.f64 im 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))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)

localize313.0ms (2%)

Memory
6.6MiB live, 273.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy99.6%
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
accuracy62.8%
#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)))
accuracy49.4%
#s(approx (cos im) (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)))
accuracy99.9%
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy60.3%
#s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy49.5%
#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)))
accuracy99.9%
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy49.5%
#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)))
accuracy48.4%
#s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))
accuracy47.6%
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy71.3%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
accuracy47.6%
#s(approx (exp re) (+.f64 re #s(literal 1 binary64)))
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)
accuracy99.9%
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))
accuracy99.7%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy62.8%
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))
Samples
173.0ms256×0valid
Compiler

Compiled 255 to 40 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 50.0ms (60.8% of total)
ival-add: 14.0ms (17% of total)
const: 9.0ms (10.9% of total)
ival-cos: 6.0ms (7.3% of total)
ival-exp: 2.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
26 → 372
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re)))>
#<alt (*.f64 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))>
#<alt #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re))>
#<alt #s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))>
#<alt #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<alt (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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))))>
#<alt #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)))>
#<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))) #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))))>
#<alt #s(approx (exp re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))>
#<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 (*.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))))>
#<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)))>
#<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))>
#<alt (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))>
#<alt #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))>
#<alt (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<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)))>
#<alt (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<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))>
#<alt #s(approx (cos im) (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)))>
#<alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow re 2)))>
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (* 1/24 im)>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* im (+ 1/24 (* -1/720 (pow im 2))))>
#<alt (* -1/720 (pow im 3))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))>
#<alt (* -1/720 (pow im 3))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
#<alt (* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))>
Calls

93 calls:

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

simplify476.0ms (3%)

Memory
-9.1MiB live, 511.5MiB allocated
Algorithm
egg-herbie
Rules
15 680×lower-fma.f64
15 680×lower-fma.f32
5 220×lower-*.f64
5 220×lower-*.f32
2 074×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01402509
14242446
211752410
340272358
476952358
082352121
Stop Event
iter limit
node limit
Counts
372 → 370
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)
(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 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)))))
1/2
(+ 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
(- (* 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) (- (* 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
(+ 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)
-1/2
(- (* 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) (- (* 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
(+ 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)
(* 1/24 im)
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(* -1/720 (pow im 3))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(* -1/720 (pow im 3))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
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 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (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 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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 re (*.f64 re #s(literal 1/6 binary64))))
(* (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)))
(fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) 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 (pow re 2)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (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 3)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3)))))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (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 (pow re 2))) re)) 1/6)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow re 2))) re)) 1/6)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #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)
(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)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(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 (* -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)
(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))
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(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 (*.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) (- (* 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))
(* 1/24 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 binary64))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 1 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)
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* -1/720 (pow im 2))))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(* -1/720 (pow im 3))
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))
(* (pow im 3) (- (* 1/24 (/ 1 (pow im 2))) 1/720))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))
(* -1/720 (pow im 3))
(*.f64 im (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))
(* -1 (* (pow im 3) (- 1/720 (* 1/24 (/ 1 (pow im 2))))))
(*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))

rewrite7.5s (47%)

Memory
12.4MiB live, 605.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 924×lower-fma.f32
5 902×lower-fma.f64
4 280×lower-*.f32
4 264×lower-*.f64
3 438×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046315
081319
1315309
22432309
08495308
Stop Event
iter limit
node limit
iter limit
Counts
26 → 628
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re 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 #s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
#s(approx (exp re) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) 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))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (cos im) (fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#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 #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 (*.f64 im im) #s(literal -1/720 binary64) #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))
(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(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))
(fma.f64 (*.f64 im im) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(literal 1/24 binary64) #s(literal -1/2 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))
#s(approx (cos im) (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)))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
Outputs
(+.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 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) re))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.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 (*.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 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #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 #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))))
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.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))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.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 #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 re #s(literal 1 binary64) (fma.f64 re (*.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 (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 #s(literal 1 binary64) re))
(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 re) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) re))
(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 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.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) (fma.f64 (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 (*.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))) re)
(fma.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (/.f64 #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)))))) re)
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) (/.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)) (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 (fma.f64 re (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 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 (fma.f64 re (-.f64 re (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (fma.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.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 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))) (-.f64 #s(literal 1 binary64) re)) (*.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)) (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) re)))))
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(/.f64 (neg.f64 (*.f64 im (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal -1/373248000 binary64) #s(literal 1/13824 binary64)) im)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 im im) #s(literal -1/17280 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) im)) (neg.f64 (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 im (*.f64 im im)) (*.f64 (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))) #s(literal -1/373248000 binary64)) (*.f64 im (*.f64 im im)))) (fma.f64 (*.f64 im #s(literal 1/24 binary64)) (*.f64 im #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64))) (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64)))) (*.f64 (*.f64 im #s(literal 1/24 binary64)) (*.f64 (*.f64 im im) (*.f64 im #s(literal -1/720 binary64)))))))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im)

eval142.0ms (0.9%)

Memory
19.3MiB live, 371.8MiB allocated
Compiler

Compiled 32 531 to 2 293 computations (93% saved)

prune171.0ms (1.1%)

Memory
-44.1MiB live, 301.7MiB allocated
Pruning

39 alts after pruning (30 fresh and 9 done)

PrunedKeptTotal
New1 073101 083
Fresh32023
Picked325
Done077
Total1 079391 118
Accuracy
100.0%
Counts
1 118 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
32.4%
(*.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
41.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
62.8%
(*.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))
36.9%
(*.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))))
22.1%
(*.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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
41.1%
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
39.9%
(*.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 (*.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))))
60.3%
(*.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))
39.2%
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
10.9%
(*.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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
50.1%
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #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 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)))) (cos.f64 im))
62.8%
(*.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))
47.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (cos.f64 im))
33.7%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
31.6%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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))))
28.9%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
13.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))))
13.8%
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
18.2%
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
71.3%
#s(approx (* (exp re) (cos im)) (exp.f64 re))
46.9%
#s(approx (* (exp re) (cos im)) (cos.f64 im))
31.4%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
29.6%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
37.3%
#s(approx (* (exp re) (cos im)) #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))))
35.5%
#s(approx (* (exp re) (cos im)) #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))))
30.7%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (/.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)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))))
30.5%
#s(approx (* (exp re) (cos im)) #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)))))
37.3%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
28.5%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (+.f64 re #s(literal 1 binary64))))
12.0%
#s(approx (* (exp re) (cos im)) #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))))
12.1%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
11.8%
#s(approx (* (exp re) (cos im)) #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))))))
28.2%
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))
28.4%
#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))))
31.7%
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
28.8%
#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 1 505 to 557 computations (63% saved)

regimes72.0ms (0.4%)

Memory
27.8MiB live, 141.4MiB allocated
Counts
51 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #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 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)))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

15.0ms
re
15.0ms
im
14.0ms
(exp.f64 re)
13.0ms
(cos.f64 im)
12.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
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)

regimes71.0ms (0.4%)

Memory
15.3MiB live, 133.3MiB 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
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(*.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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
(*.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 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #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 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)))) (cos.f64 im))
Outputs
(*.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 #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))
(*.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

5 calls:

16.0ms
(cos.f64 im)
14.0ms
im
14.0ms
re
13.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
96.8%4re
80.9%2im
99.1%5(*.f64 (exp.f64 re) (cos.f64 im))
95.2%3(exp.f64 re)
80.2%2(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory
-8.0MiB live, 31.0MiB allocated
Counts
47 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
(*.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))
(*.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:

11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.1%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
-14.6MiB live, 28.4MiB 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
(*.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))
(*.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:

12.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.0%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory
-9.1MiB live, 28.8MiB allocated
Counts
45 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
(*.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (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:

11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
98.9%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.1%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
43 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) (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:

10.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
98.5%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes36.0ms (0.2%)

Memory
-2.5MiB live, 73.3MiB allocated
Counts
42 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
#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

3 calls:

13.0ms
re
10.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
9.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
90.6%3(exp.f64 re)
94.7%4re
98.3%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes65.0ms (0.4%)

Memory
-8.3MiB live, 113.2MiB allocated
Counts
41 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im im)))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#s(approx (* (exp re) (cos im)) (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))) #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))))
Calls

5 calls:

15.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
13.0ms
(cos.f64 im)
11.0ms
im
11.0ms
re
11.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
59.1%3(cos.f64 im)
55.2%2im
70.9%3(exp.f64 re)
70.9%3re
74.8%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes64.0ms (0.4%)

Memory
15.6MiB live, 131.6MiB allocated
Counts
40 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.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 (*.f64 im 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 (exp re) (fma.f64 re (/.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)) (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)) #s(approx (exp re) (fma.f64 re (fma.f64 re (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/24) -1/2) #s(literal -1/2 binary64))))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (*.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)) 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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 re (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re re)) (*.f64 #s(literal 1/4 binary64) (*.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.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 (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 #s(approx (* im (+ (* (* im im) -1/720) 1/24)) (*.f64 (*.f64 im im) (*.f64 im (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 im 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 (*.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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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))))
Calls

5 calls:

16.0ms
(exp.f64 re)
12.0ms
(cos.f64 im)
11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
11.0ms
im
11.0ms
re
Results
AccuracySegmentsBranch
41.8%1im
46.0%2(cos.f64 im)
52.7%3(exp.f64 re)
53.8%3re
56.5%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-16.2MiB live, 22.7MiB allocated
Counts
30 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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))))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.4%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
29 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
(*.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 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))))
(*.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 (*.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))))
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 (*.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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.2%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
-18.3MiB live, 21.1MiB 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
(*.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))))
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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #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))))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
55.8%4(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory
-24.1MiB live, 19.9MiB 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
(*.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 (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) #s(approx (+ (* (* im im) 1/24) -1/2) #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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) (/.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))))))
#s(approx (* (exp re) (cos im)) #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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) -1/720) 1/24) (*.f64 (*.f64 im im) #s(literal -1/720 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 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))))
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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#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:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
53.8%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory
29.0MiB live, 29.0MiB allocated
Counts
18 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.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) #s(approx (+ (* (* im im) 1/24) -1/2) #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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (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))))
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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#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:

6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
50.4%3re
53.4%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory
-18.0MiB live, 21.3MiB allocated
Counts
14 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) #s(literal 1/24 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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))
#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:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
45.7%2(exp.f64 re)
51.6%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.1%)

Memory
10.5MiB live, 49.9MiB allocated
Counts
12 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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))))
(*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #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 (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))))
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

5 calls:

5.0ms
(cos.f64 im)
4.0ms
im
4.0ms
re
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
39.1%2im
37.3%1(exp.f64 re)
43.1%2(cos.f64 im)
37.3%1re
43.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory
17.3MiB live, 17.3MiB 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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 (* (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
40.8%2(cos.f64 im)
41.0%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Memory
-23.5MiB live, 15.8MiB allocated
Counts
8 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #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 (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
#s(approx (* (exp re) (cos im)) #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))))
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))))
#s(approx (* (exp re) (cos im)) #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))))))
Calls

2 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
39.1%2(cos.f64 im)
41.1%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
5 → 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 (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))))
#s(approx (* (exp re) (cos im)) #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))))
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

1 calls:

2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
39.3%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-15.1MiB live, 25.3MiB 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 (cos im) (fma.f64 im (*.f64 im #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))))
Calls

5 calls:

3.0ms
re
2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
31.5%2re
31.5%2(exp.f64 re)
32.0%2(cos.f64 im)
30.6%2im
32.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0%)

Memory
21.7MiB live, 21.7MiB 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

5 calls:

2.0ms
(cos.f64 im)
2.0ms
re
2.0ms
im
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.5%1im
28.5%1(exp.f64 re)
28.5%1re
28.5%1(cos.f64 im)
28.5%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0%)

Memory
-21.3MiB live, 18.1MiB 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:

2.0ms
(cos.f64 im)
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.2%1(*.f64 (exp.f64 re) (cos.f64 im))
28.2%1(cos.f64 im)
28.2%1re
28.2%1(exp.f64 re)
28.2%1im
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999709412
0.9999999999798941
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999709412
0.9999999999798941
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
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
0.9999999999709412
0.9999999999798941
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
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
0.9999999999709412
0.9999999999798941
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
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
0.9999999999709412
0.9999999999798941
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9939909473357109
0.9999999995003475
0.0ms
5.390455388829624e-25
0.001141960459568053
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
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
0.9939909473357109
0.9999999995003475
0.0ms
0.0
5.390455388829624e-25
0.0ms
-0.052711690075556
0.0
0.0ms
-inf
-1.9280428040956947
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
0.9939909473357109
0.9999999995003475
0.0ms
0.0
5.390455388829624e-25
0.0ms
-0.052711690075556
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9939909473357109
0.9999999995003475
0.0ms
0.0
5.390455388829624e-25
0.0ms
-0.11228171164605293
-0.078377583353219
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
0.9939909473357109
0.9999999995003475
0.0ms
0.0
5.390455388829624e-25
0.0ms
-0.052711690075556
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9939909473357109
0.9999999995003475
0.0ms
0.0
5.390455388829624e-25
0.0ms
-0.052711690075556
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
5.390455388829624e-25
0.0ms
-0.052711690075556
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
5.390455388829624e-25
0.0ms
-0.052711690075556
0.0
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
5.390455388829624e-25
0.0ms
-0.052711690075556
0.0
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
5.390455388829624e-25
0.001141960459568053
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
5.390455388829624e-25
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
1.0000000000049594
+inf
0.0ms
0.0
5.390455388829624e-25
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
0.0
5.390455388829624e-25
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.390455388829624e-25
Compiler

Compiled 10 to 10 computations (0% saved)

simplify17.0ms (0.1%)

Memory
-2.3MiB live, 36.5MiB allocated
Algorithm
egg-herbie
Rules
50×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451778
11741778
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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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))) #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))))))))
(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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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 5444517870735015/5444517870735015415413993718908291383296 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 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) (cos im)) #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 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)))) #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) (+.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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 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))) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 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 (exp.f64 re) #s(approx (cos im) #s(approx (+ (* im (* im -1/2)) 1) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2251799813628953/2251799813685248 binary64)) (*.f64 (cos.f64 im) #s(approx (exp re) (+.f64 re #s(literal 1 binary64)))) #s(approx (* (exp re) (cos im)) (exp.f64 re))))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (exp re) (cos im)) (exp.f64 re)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) (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))) #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))))))))
(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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (exp re) #s(approx (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))) #s(approx (cos im) (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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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 (*.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)))) (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) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (* (exp re) (cos im)) #s(approx (exp re) #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)))))))
(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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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)) (*.f64 #s(approx (exp re) (+.f64 re #s(literal 1 binary64))) #s(approx (cos im) #s(approx (+ (* (* im im) (+ (* (* im im) 1/24) -1/2)) 1) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))) #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 5444517870735015/5444517870735015415413993718908291383296 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)))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 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) (cos im)) #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 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)))) #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) (+.f64 re #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

soundness2.2s (14%)

Memory
19.7MiB live, 1 294.3MiB allocated
Rules
19 240×lower-fma.f64
19 240×lower-fma.f32
17 940×lower-fma.f64
17 940×lower-fma.f32
15 752×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046315
081319
1315309
22432309
08495308
033203
057203
1222203
21669203
08232203
01402509
14242446
211752410
340272358
476952358
082352121
0801441
12251382
25631362
315921342
443571342
555201342
664931342
771481342
080261228
064283
1178272
2461268
31054264
41447264
51857264
62380264
72886264
83528264
95578264
107980264
08041242
01251819
13661760
210151732
329241696
080061537
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 2 122 to 808 computations (61.9% saved)

preprocess372.0ms (2.3%)

Memory
-19.0MiB live, 186.8MiB allocated
Remove

(abs im)

Compiler

Compiled 2 268 to 238 computations (89.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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