math.exp on complex, real part

Time bar (total: 16.2s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample823.0ms (5.1%)

Memory
46.1MiB live, 1 431.0MiB allocated
Samples
593.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 389.0ms
ival-cos: 230.0ms (59.2% of total)
ival-mult: 76.0ms (19.6% of total)
ival-exp: 74.0ms (19% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess21.0ms (0.1%)

Memory
21.8MiB live, 58.0MiB 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)

explain114.0ms (0.7%)

Memory
8.1MiB live, 154.7MiB 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
35.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 10.0ms (57.5% of total)
ival-exp: 4.0ms (23% of total)
ival-mult: 3.0ms (17.2% 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
1.1MiB live, 1.1MiB 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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize57.0ms (0.4%)

Memory
4.2MiB live, 73.1MiB 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
37.0ms256×0valid
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 (57.3% of total)
ival-exp: 2.0ms (22.9% of total)
ival-mult: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (exp.f64 re) (cos.f64 im))>
#<alt (cos.f64 im)>
#<alt (exp.f64 re)>
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 (* -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 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)>
Calls

12 calls:

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

rewrite57.0ms (0.3%)

Memory
2.5MiB live, 40.3MiB 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))
(cos.f64 im)
(exp.f64 re)
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(cos.f64 im)
(exp.f64 re)

simplify428.0ms (2.6%)

Memory
-55.5MiB live, 785.6MiB 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
31051264
41448264
51857264
62380264
72887264
83527264
95566264
107960264
08021242
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 (* -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 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)
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 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 im (*.f64 im (fma.f64 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 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(fma.f64 im (*.f64 im (fma.f64 im (*.f64 im (fma.f64 im (*.f64 im #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 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)

eval5.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Compiler

Compiled 336 to 41 computations (87.8% saved)

prune6.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653
Accuracy
100.0%
Counts
53 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(*.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)) (cos.f64 im))
65.6%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
52.1%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
66.9%
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
75.5%
(exp.f64 re)
50.7%
(cos.f64 im)
Compiler

Compiled 108 to 76 computations (29.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize61.0ms (0.4%)

Memory
-10.4MiB live, 105.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 im)
accuracy99.9%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
accuracy100.0%
(*.f64 im im)
accuracy100.0%
(exp.f64 re)
accuracy94.6%
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy100.0%
(cos.f64 im)
accuracy99.9%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
accuracy100.0%
(cos.f64 im)
accuracy100.0%
(exp.f64 re)
Samples
38.0ms256×0valid
Compiler

Compiled 80 to 20 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 14.0ms (53% of total)
ival-add: 5.0ms (18.9% of total)
ival-cos: 5.0ms (18.9% of total)
ival-exp: 2.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-18.3MiB live, 23.9MiB allocated
Counts
10 → 156
Calls
Call 1
Inputs
#<alt (exp.f64 re)>
#<alt (cos.f64 im)>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<alt (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))>
#<alt (*.f64 im im)>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))>
#<alt (fma.f64 re #s(literal 1/2 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))>
Outputs
#<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)>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (* re (cos im))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (cos im))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 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 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<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) (* 1/2 (* re (cos im))))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))>
#<alt (* 1/2 (* (pow re 2) (cos im)))>
#<alt (* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))>
#<alt (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))>
#<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>
#<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)))))>
Calls

39 calls:

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

rewrite421.0ms (2.6%)

Memory
7.1MiB live, 483.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 692×lower-fma.f32
7 686×lower-fma.f64
4 756×lower-*.f32
4 748×lower-*.f64
2 856×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552
02852
19852
269952
3674652
0832952
Stop Event
iter limit
node limit
iter limit
Counts
10 → 511
Calls
Call 1
Inputs
(exp.f64 re)
(cos.f64 im)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 im im)
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(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)
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(cos.f64 im)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 re (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 re (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (cos.f64 im)) (cos.f64 im))
(fma.f64 (*.f64 re (cos.f64 im)) #s(literal 1 binary64) (cos.f64 im))
(/.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64)))))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (cos.f64 im) (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 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (-.f64 (*.f64 (*.f64 re (cos.f64 im)) (*.f64 re (cos.f64 im))) (*.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (fma.f64 (*.f64 re (cos.f64 im)) (*.f64 re (cos.f64 im)) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 re (cos.f64 im)) (cos.f64 im)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im)))) (*.f64 (*.f64 re (cos.f64 im)) (*.f64 re (cos.f64 im)))) (-.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 re (cos.f64 im)) (*.f64 re (cos.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im)))
(/.f64 (*.f64 (cos.f64 im) (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 (*.f64 (cos.f64 im) (neg.f64 (fma.f64 re re #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (cos.f64 im) (-.f64 #s(literal 1 binary64) (*.f64 re re))) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (neg.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (cos.f64 im)) (neg.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (neg.f64 (fma.f64 re re #s(literal -1 binary64))) (cos.f64 im)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (cos.f64 im)) (-.f64 #s(literal 1 binary64) re))
(pow.f64 (/.f64 (-.f64 (fma.f64 re re #s(literal 1 binary64)) re) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re re) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)) (cos.f64 im)))
(*.f64 (fma.f64 re (*.f64 re re) #s(literal 1 binary64)) (/.f64 (cos.f64 im) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (cos.f64 im)))
(*.f64 (fma.f64 re re #s(literal -1 binary64)) (/.f64 (cos.f64 im) (+.f64 re #s(literal -1 binary64))))
(*.f64 (*.f64 (cos.f64 im) (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 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re re) #s(literal 1 binary64))) (fma.f64 re (*.f64 (*.f64 re re) (*.f64 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 (*.f64 re re) (*.f64 re re))))
(*.f64 (/.f64 (*.f64 (cos.f64 im) (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 (*.f64 (cos.f64 im) (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 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)))
(+.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 #s(literal 1 binary64) re))))
(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 #s(literal 1 binary64) re)))
(-.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 #s(literal 1 binary64) re))))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))
(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 #s(literal 1 binary64) re))))
(fma.f64 (/.f64 (*.f64 re re) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 re re re)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))
(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 (*.f64 re 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 (*.f64 re 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 (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) #s(literal 3 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 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))))
(/.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 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)))) (fma.f64 re (/.f64 re (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))
(/.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)))
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(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (*.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (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))))
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
(*.f64 (/.f64 #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 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))
(*.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) (*.f64 (*.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) (*.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))))) (fma.f64 re (*.f64 (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (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 #s(literal 1/2 binary64) (*.f64 re re) re)))) (fma.f64 (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 #s(literal 1/2 binary64) (*.f64 re re) re)))
(*.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) #s(literal -1 binary64)) (fma.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) re) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re)) (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))))) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re) re) #s(literal 1 binary64)))

simplify512.0ms (3.2%)

Memory
39.4MiB live, 659.3MiB allocated
Algorithm
egg-herbie
Rules
17 716×lower-fma.f64
17 716×lower-fma.f32
3 930×lower-*.f64
3 930×lower-*.f32
3 214×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421216
14781138
216291110
351281094
475401094
08341971
Stop Event
iter limit
node limit
Counts
156 → 154
Calls
Call 1
Inputs
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)
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (cos im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 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 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
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) (* 1/2 (* re (cos im))))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(* 1/2 (* (pow re 2) (cos im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))
(+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
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
(+ 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)))))
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))
(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 #s(literal -1/2 binary64) (*.f64 im im) #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 (*.f64 im 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 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (cos im))
(*.f64 re (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* re (cos im))
(*.f64 re (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(*.f64 (+.f64 #s(literal 1 binary64) 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)))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(fma.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(* (cos im) (+ 1 re))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
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)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(fma.f64 re (*.f64 (fma.f64 re #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 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(fma.f64 re (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #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 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (exp.f64 re) im)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (exp.f64 re) im)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow im 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* 1/2 (* (pow re 2) (cos im)))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im)))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (pow re 2) (+ (* 1/2 (cos im)) (+ (/ (cos im) re) (/ (cos im) (pow re 2)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* 1/2 (* (pow re 2) (cos im)))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))
(* (pow re 2) (+ (* 1/2 (cos im)) (/ (cos im) re)))
(*.f64 re (*.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) (cos.f64 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(+ 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 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)) (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))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (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 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* 1/24 (+ 1 (* re (+ 1 (* 1/2 re)))))))))))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* (cos im) (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
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
#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 (* 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 #s(literal 1/2 binary64) (*.f64 re re))
(* (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 #s(literal 1/2 binary64) (*.f64 re re))
(* (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))

eval87.0ms (0.5%)

Memory
19.2MiB live, 211.5MiB allocated
Compiler

Compiled 15 779 to 1 626 computations (89.7% saved)

prune90.0ms (0.6%)

Memory
-2.4MiB live, 196.8MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New69915714
Fresh011
Picked145
Done000
Total70020720
Accuracy
100.0%
Counts
720 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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))
46.0%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
43.7%
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
36.0%
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
33.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
65.1%
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
33.1%
(+.f64 #s(literal 1 binary64) re)
69.1%
(*.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)) (cos.f64 im))
43.1%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
42.9%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
65.6%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
65.6%
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
35.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
37.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
34.7%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
52.1%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
24.0%
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
75.5%
(exp.f64 re)
50.7%
(cos.f64 im)
32.4%
#s(literal 1 binary64)
Compiler

Compiled 452 to 290 computations (35.8% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize179.0ms (1.1%)

Memory
-30.4MiB live, 127.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 im im)
accuracy100.0%
(exp.f64 re)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
accuracy86.0%
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
accuracy100.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy99.9%
(*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
accuracy99.9%
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy100.0%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(*.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)) (cos.f64 im))
accuracy100.0%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy99.9%
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Samples
117.0ms256×0valid
Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-add: 71.0ms (70% of total)
ival-mult: 16.0ms (15.8% of total)
const: 7.0ms (6.9% of total)
ival-cos: 5.0ms (4.9% of total)
ival-exp: 2.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
12 → 180
Calls
Call 1
Inputs
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 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 (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 (fma.f64 re (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 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im im))>
#<alt (exp.f64 re)>
#<alt (*.f64 im im)>
Outputs
#<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>
#<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>
#<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 (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 (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))>
#<alt (+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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 (* -1/2 im)>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* im (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* 1/24 (pow im 3))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 3))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<alt (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))>
#<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 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))>
#<alt (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* 1/24 (* (pow im 4) (+ 1 re)))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))>
#<alt (* -1/2 (pow im 2))>
#<alt (+ (* -1/2 (* (pow im 2) re)) (* -1/2 (pow im 2)))>
#<alt (+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* -1/4 (* (pow im 2) re)))))>
#<alt (+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* re (+ (* -1/4 (pow im 2)) (* -1/12 (* (pow im 2) re)))))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<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 (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
im
@-inf
(* (+ re 1) (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1))
1.0ms
im
@inf
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
1.0ms
re
@0
(* (+ re 1) (+ (* im (* im (+ (* (* im im) 1/24) -1/2))) 1))
0.0ms
im
@0
(* (+ (* re (+ (* re (+ (* re 1/6) 1/2)) 1)) 1) (cos im))
0.0ms
re
@0
(* (exp re) (* -1/2 (* im im)))

rewrite350.0ms (2.2%)

Memory
-79.5MiB live, 699.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 968×lower-fma.f32
7 958×lower-fma.f64
4 228×lower-*.f32
4 216×lower-*.f64
3 298×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
04092
115992
2121792
0821292
Stop Event
iter limit
node limit
iter limit
Counts
12 → 613
Calls
Call 1
Inputs
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #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)) (cos.f64 im))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(exp.f64 re)
(*.f64 im im)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (neg.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))))))
(neg.f64 (/.f64 (neg.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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64)))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))))
(/.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)))))
(/.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64)))))
(/.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)))
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(/.f64 (neg.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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 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)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.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))))))
(*.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (*.f64 re #s(literal -1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.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))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (*.f64 re #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (*.f64 re #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(-.f64 (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 re #s(literal 1/2 binary64) (fma.f64 re (*.f64 re #s(literal 1/6 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 (*.f64 re #s(literal 1/6 binary64)) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 re re) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (fma.f64 re (*.f64 re #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 re #s(literal 1/6 binary64)) re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.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))
(fma.f64 (*.f64 re (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (+.f64 re #s(literal 1 binary64))) (/.f64 #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 (*.f64 (fma.f64 re (*.f64 re re) #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 #s(literal 1 binary64) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(*.f64 (*.f64 (fma.f64 re re #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 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (exp.f64 re)))
(*.f64 (exp.f64 re) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (exp.f64 re))
(*.f64 (*.f64 im #s(literal -1/2 binary64)) (*.f64 im (exp.f64 re)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 im im))
(*.f64 (*.f64 (exp.f64 re) (*.f64 im im)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (exp.f64 re) (*.f64 im #s(literal -1/2 binary64))) im)
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) im) im)
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(*.f64 (*.f64 im #s(literal -1/2 binary64)) im)
(exp.f64 re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(*.f64 im im)
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))

simplify461.0ms (2.8%)

Memory
38.7MiB live, 615.7MiB allocated
Algorithm
egg-herbie
Rules
16 606×lower-fma.f64
16 606×lower-fma.f32
5 174×lower-+.f64
5 174×lower-+.f32
4 598×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02092062
16861994
224231772
367891736
082191577
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
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
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
1
(+ 1 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)))
(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)))))))
(* 1/6 (* (pow re 3) (cos im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(* 1/6 (* (pow re 3) (cos im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* 1/24 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))))))
(+ 1 (+ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* 1/24 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* (cos im) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 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)))))
(* -1/2 im)
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* im (- (* 1/24 (pow im 2)) 1/2))
(* 1/24 (pow im 3))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 3))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
(* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))
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 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (+ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (+ (/ 1 re) (/ (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) re)))))
(* re (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))) (* -1 (/ (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(* 1/24 (* (pow im 4) (+ 1 re)))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* 1/24 (* (pow im 4) (+ 1 re)))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (* 1/24 (+ 1 re))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* (pow im 4) (+ (* -1/2 (/ (+ 1 re) (pow im 2))) (+ (* 1/24 (+ 1 re)) (+ (/ 1 (pow im 4)) (/ re (pow im 4))))))
(* -1/2 (pow im 2))
(+ (* -1/2 (* (pow im 2) re)) (* -1/2 (pow im 2)))
(+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* -1/4 (* (pow im 2) re)))))
(+ (* -1/2 (pow im 2)) (* re (+ (* -1/2 (pow im 2)) (* re (+ (* -1/4 (pow im 2)) (* -1/12 (* (pow im 2) re)))))))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (* (pow im 2) (exp re)))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
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)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #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 #s(literal 1/6 binary64) re #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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(* 1/6 (* (pow re 3) (cos im)))
(*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))))
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(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 (*.f64 im im) (*.f64 #s(literal -1/2 binary64) (exp.f64 re)))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #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 #s(literal 1/6 binary64) re #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)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)

eval166.0ms (1%)

Memory
-14.6MiB live, 265.9MiB allocated
Compiler

Compiled 30 926 to 2 146 computations (93.1% saved)

prune152.0ms (0.9%)

Memory
-1.6MiB live, 354.3MiB allocated
Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New991311 022
Fresh4711
Picked145
Done044
Total996461 042
Accuracy
100.0%
Counts
1 042 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
16.4%
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re)
35.6%
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
17.2%
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
33.6%
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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))
9.2%
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
38.4%
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
45.9%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
35.3%
(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))
46.0%
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
46.0%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
46.0%
(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))
46.0%
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
43.7%
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
35.3%
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
13.4%
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
45.4%
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
36.0%
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
33.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
33.9%
(/.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)))
33.9%
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
46.0%
(/.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))))
37.0%
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
46.0%
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
45.9%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
33.1%
(+.f64 re #s(literal 1 binary64))
69.1%
(*.f64 (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))))) (cos.f64 im))
69.1%
(*.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)) (cos.f64 im))
43.1%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
65.6%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
10.7%
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
34.7%
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
16.4%
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
65.6%
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
35.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
52.1%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
16.6%
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
24.5%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
15.6%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
24.0%
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
9.7%
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
16.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
12.1%
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
75.5%
(exp.f64 re)
50.7%
(cos.f64 im)
32.4%
#s(literal 1 binary64)
Compiler

Compiled 1 464 to 844 computations (42.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize141.0ms (0.9%)

Memory
21.6MiB live, 268.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))))
accuracy99.6%
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
accuracy76.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))
accuracy100.0%
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
accuracy88.7%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
accuracy100.0%
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy100.0%
(*.f64 im #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy100.0%
(*.f64 (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))))) (cos.f64 im))
accuracy100.0%
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
accuracy99.9%
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy99.8%
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Samples
90.0ms255×0valid
1.0ms2valid
Compiler

Compiled 272 to 43 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 26.0ms (40.5% of total)
ival-add: 11.0ms (17.1% of total)
ival-cos: 10.0ms (15.6% of total)
ival-div: 8.0ms (12.5% of total)
const: 7.0ms (10.9% of total)
ival-sub: 2.0ms (3.1% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-10.4MiB live, 28.1MiB allocated
Counts
16 → 216
Calls
Call 1
Inputs
#<alt (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))>
#<alt (*.f64 (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))))) (cos.f64 im))>
#<alt (+.f64 re #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))>
#<alt (*.f64 im #s(literal -1/2 binary64))>
#<alt (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 re re))>
#<alt (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re)>
#<alt (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))>
#<alt (*.f64 re #s(literal 1/6 binary64))>
#<alt (*.f64 (*.f64 re re) #s(literal 1/36 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))))>
Outputs
#<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 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 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))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow re 2) (+ 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 (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 (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))>
#<alt (* 1/6 (* (pow re 3) (cos im)))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))>
#<alt (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))>
#<alt (- (+ (* -1/2 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))>
#<alt (- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* 1/24 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))>
#<alt (- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (* 1/24 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<alt (* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))>
#<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 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 re)))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))>
#<alt (* re (+ 1 (* -1/2 (pow im 2))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))>
#<alt (* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) 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)>
#<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 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 (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 2))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<alt (* 1/6 (pow re 3))>
#<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 2>
#<alt (+ 2 (* -2/3 re))>
#<alt (+ 2 (* re (- (* 2/9 re) 2/3)))>
#<alt (+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))>
#<alt (/ 6 re)>
#<alt (/ (- 6 (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)>
#<alt (/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)>
#<alt (/ 6 re)>
#<alt (* -1 (/ (- (* 18 (/ 1 re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (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))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(* (+ (* (+ (* re re) -1) (/ 1 (+ re -1))) (* re (* re (+ (* re 1/6) 1/2)))) (cos im))
1.0ms
im
@0
(* (+ (* (+ (* re re) -1) (/ 1 (+ re -1))) (* re (* re (+ (* re 1/6) 1/2)))) (cos im))
0.0ms
re
@0
(* (* 1/6 (* re re)) re)
0.0ms
re
@inf
(* (* re re) 1/36)
0.0ms
re
@inf
(/ 1 (/ (- 1/2 (* re 1/6)) (- 1/4 (* (* re re) 1/36))))

rewrite444.0ms (2.7%)

Memory
-5.7MiB live, 589.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 328×lower-/.f32
5 322×lower-/.f64
4 926×lower-*.f32
4 904×lower-*.f64
3 816×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034133
062121
1263103
22267103
09005100
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 133
Calls
Call 1
Inputs
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (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))))) (cos.f64 im))
(+.f64 re #s(literal 1 binary64))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 im #s(literal -1/2 binary64))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re)
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))
(*.f64 re #s(literal 1/6 binary64))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64)) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal 1/46656 binary64)) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 re (*.f64 re #s(literal 1/36 binary64))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 re re) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64))) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.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)))
(/.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (/.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))))

simplify7.8s (48.1%)

Memory
6.6MiB live, 606.1MiB allocated
Algorithm
egg-herbie
Rules
13 896×lower-fma.f64
13 896×lower-fma.f32
4 480×lower-*.f64
4 480×lower-*.f32
3 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221998
17071882
223001766
083021597
Stop Event
iter limit
node limit
Counts
216 → 214
Calls
Call 1
Inputs
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 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (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))))
(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)))))))
(* 1/6 (* (pow re 3) (cos im)))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(* 1/6 (* (pow re 3) (cos im)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))
(- (+ (* -1/2 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* 1/24 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(- (+ (* (pow im 2) (+ (* -1/2 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (* 1/24 (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
(* (cos im) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))
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 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(* -1/2 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (pow im 2)) (/ 1 re)))))
(* re (+ 1 (* -1/2 (pow im 2))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) 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)
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))
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)))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
(* 1/6 (pow re 3))
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)))))
2
(+ 2 (* -2/3 re))
(+ 2 (* re (- (* 2/9 re) 2/3)))
(+ 2 (* re (- (* re (+ 2/9 (* -2/27 re))) 2/3)))
(/ 6 re)
(/ (- 6 (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (* 18 (/ 1 re))) re)
(/ (- (+ 6 (/ 54 (pow re 2))) (+ (* 18 (/ 1 re)) (* 162 (/ 1 (pow re 3))))) re)
(/ 6 re)
(* -1 (/ (- (* 18 (/ 1 re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* 54 (/ 1 re)) 18) re)) 6) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (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))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* 1/2 (pow re 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* 1/6 (pow re 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 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 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))) (cos.f64 im))
(* 1/6 (* (pow re 3) (cos im)))
(*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))))
(* (pow re 3) (+ (* 1/6 (cos im)) (* 1/2 (/ (cos im) re))))
(*.f64 (*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (/ (cos im) (pow re 2)))))
(fma.f64 re (*.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (/.f64 (*.f64 re (*.f64 re (cos.f64 im))) re))
(* (pow re 3) (+ (* 1/6 (cos im)) (+ (* 1/2 (/ (cos im) re)) (+ (/ (cos im) (pow re 2)) (/ (cos im) (pow re 3))))))
(*.f64 (*.f64 re re) (+.f64 (fma.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) (*.f64 re re))))
(* 1/6 (* (pow re 3) (cos im)))
(*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (cos im) re)) (* -1/6 (cos im)))))
(*.f64 (*.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) (cos.f64 im))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 (cos im)) (/ (cos im) re)) re)) (* -1/6 (cos im)))))
(-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re))) (*.f64 re re)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos im)) (* -1 (/ (cos im) re))) re)) (* 1/2 (cos im))) re)) (* -1/6 (cos im)))))
(-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im)))) (*.f64 (+.f64 (/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) re))) re) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))) (*.f64 re re)))
(- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1)))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (/.f64 re (+.f64 re #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 re #s(literal -1 binary64))))
(- (+ (* -1/2 (* (pow im 2) (- (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1))) (/ 1 (- re 1))))) (+ (* (pow re 2) (+ 1/2 (* 1/6 re))) (/ (pow re 2) (- re 1)))) (/ 1 (- re 1)))
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(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -54 binary64) re)) re) #s(literal -6 binary64)) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 162 (/ 1 re)) 54) re)) 18) re)) 6) re))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -18 binary64) (/.f64 (+.f64 (/.f64 #s(literal 162 binary64) re) #s(literal -54 binary64)) re)) re)) (neg.f64 re))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* 1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))

eval232.0ms (1.4%)

Memory
23.8MiB live, 532.2MiB allocated
Compiler

Compiled 59 535 to 4 286 computations (92.8% saved)

prune240.0ms (1.5%)

Memory
-11.0MiB live, 592.6MiB allocated
Pruning

54 alts after pruning (43 fresh and 11 done)

PrunedKeptTotal
New1 563161 579
Fresh62733
Picked235
Done088
Total1 571541 625
Accuracy
100.0%
Counts
1 625 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 re #s(literal 1 binary64)))
16.4%
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re)
35.6%
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
17.2%
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
45.9%
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
33.6%
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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))
9.2%
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
38.4%
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
35.3%
(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))
46.0%
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
34.7%
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
46.0%
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
46.0%
(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))
32.8%
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
32.6%
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
46.0%
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
45.7%
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
35.3%
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
43.7%
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
13.4%
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
45.4%
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
7.0%
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
36.0%
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
33.0%
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))
33.9%
(/.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)))
32.5%
(/.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))))
43.5%
(/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64)))
31.9%
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
46.0%
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
16.2%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
16.3%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
33.1%
(+.f64 re #s(literal 1 binary64))
69.1%
(*.f64 (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))))) (cos.f64 im))
69.1%
(*.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)) (cos.f64 im))
43.1%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
65.6%
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
10.7%
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
34.7%
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
16.4%
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
36.2%
(*.f64 (/.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
65.6%
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
35.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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)))
52.1%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
31.7%
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
16.6%
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
24.5%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
15.6%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
24.0%
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
9.7%
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
16.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
12.1%
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
75.5%
(exp.f64 re)
50.7%
(cos.f64 im)
32.4%
#s(literal 1 binary64)
Compiler

Compiled 1 932 to 770 computations (60.1% saved)

regimes103.0ms (0.6%)

Memory
13.0MiB live, 126.9MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
(*.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)) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(*.f64 (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))))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

25.0ms
(cos.f64 im)
21.0ms
re
19.0ms
im
18.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1(exp.f64 re)
100.0%1(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes136.0ms (0.8%)

Memory
0.9MiB live, 154.1MiB allocated
Counts
68 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
(*.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)) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(*.f64 (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))))) (cos.f64 im))
Outputs
(exp.f64 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)) (cos.f64 im))
(exp.f64 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)) (cos.f64 im))
Calls

5 calls:

39.0ms
(cos.f64 im)
35.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
21.0ms
im
21.0ms
re
16.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
98.5%4re
84.8%2im
98.4%4(*.f64 (exp.f64 re) (cos.f64 im))
94.5%3(exp.f64 re)
89.4%4(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes43.0ms (0.3%)

Memory
-18.7MiB live, 63.3MiB allocated
Counts
65 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (+.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
Calls

2 calls:

22.0ms
re
16.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.8%5(*.f64 (exp.f64 re) (cos.f64 im))
97.2%4re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.1%)

Memory
3.9MiB live, 39.8MiB allocated
Counts
63 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
Outputs
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
Calls

1 calls:

15.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.5%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes19.0ms (0.1%)

Memory
5.7MiB live, 44.4MiB allocated
Counts
61 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
Outputs
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
Calls

1 calls:

16.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
99.2%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes38.0ms (0.2%)

Memory
4.4MiB live, 85.1MiB allocated
Counts
60 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
Outputs
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)
Calls

2 calls:

18.0ms
re
17.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
93.4%3re
98.4%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes103.0ms (0.6%)

Memory
7.6MiB live, 182.2MiB allocated
Counts
59 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
Outputs
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(cos.f64 im)
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(cos.f64 im)
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

5 calls:

33.0ms
re
20.0ms
im
16.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms
(cos.f64 im)
15.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
60.6%2im
61.0%2(cos.f64 im)
74.6%4re
71.9%3(exp.f64 re)
77.2%5(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes100.0ms (0.6%)

Memory
-8.0MiB live, 112.5MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
Outputs
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

5 calls:

28.0ms
(exp.f64 re)
19.0ms
re
18.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
17.0ms
im
16.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
46.0%1im
53.3%3(cos.f64 im)
54.2%2(exp.f64 re)
56.0%3re
59.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes71.0ms (0.4%)

Memory
-23.0MiB live, 15.9MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (/.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)))
(fma.f64 (*.f64 (fma.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(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))
(fma.f64 re (fma.f64 re (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.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)))
(fma.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 im im))) (/.f64 re (*.f64 (*.f64 im im) (*.f64 im im)))) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 re #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal 1/1296 binary64)))) (fma.f64 re (*.f64 re #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.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) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 re re)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) re))
Outputs
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

14.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
59.5%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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(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))))
(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 (+.f64 re #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 (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 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 re (*.f64 re re) #s(literal -1 binary64))) (fma.f64 re re (+.f64 re #s(literal 1 binary64))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(fma.f64 re (fma.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) re)) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

11.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
57.9%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))
(fma.f64 (*.f64 re (*.f64 re re)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re #s(literal -2/3 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 im re im) re) #s(literal 1 binary64))
(fma.f64 re (fma.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) re) (fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64))))
Outputs
(*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
59.2%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes25.0ms (0.2%)

Memory
-22.8MiB live, 15.0MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(fma.f64 (*.f64 im im) (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) re) re)
Outputs
(*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

23.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
59.2%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
Outputs
(*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64)))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
58.4%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #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)) re)
(/.f64 (fma.f64 re re #s(literal -1 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 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes35.0ms (0.2%)

Memory
-27.2MiB live, 10.9MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #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 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im 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))
Calls

1 calls:

34.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.5%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re)
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
55.9%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re)
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.4%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
(*.f64 im (*.f64 im (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
56.4%3(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-33.7MiB live, 8.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms
re
Results
AccuracySegmentsBranch
51.1%2re
54.2%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes13.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(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))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(+.f64 #s(literal 1 binary64) re)
Calls

5 calls:

3.0ms
re
3.0ms
im
3.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
35.0%2im
42.5%3re
36.1%2(cos.f64 im)
42.4%3(exp.f64 re)
43.4%2(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes15.0ms (0.1%)

Memory
-12.6MiB live, 25.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) re)
Calls

5 calls:

7.0ms
(exp.f64 re)
2.0ms
re
2.0ms
im
2.0ms
(cos.f64 im)
2.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Results
AccuracySegmentsBranch
33.1%1im
33.1%1(cos.f64 im)
33.1%1(exp.f64 re)
33.1%1re
33.1%1(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0%)

Memory
20.9MiB live, 20.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
im
1.0ms
re
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.4%1re
32.4%1im
32.4%1(*.f64 (exp.f64 re) (cos.f64 im))
32.4%1(cos.f64 im)
32.4%1(exp.f64 re)
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch43.0ms (0.3%)

Memory
-22.8MiB live, 95.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.0480195468749144e+85
1.4909340562944265e+95
12.0ms
3.97805419686057e-6
0.0002828120651731609
12.0ms
-0.00223873252938732
-9.469296995510721e-5
Samples
24.0ms368×0valid
Compiler

Compiled 493 to 355 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 8.0ms (54.2% of total)
ival-exp: 3.0ms (20.3% of total)
ival-mult: 3.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999978557
0.9999999999999937
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
0.0ms
-inf
-0.9999695795014284
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999978557
0.9999999999999937
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
0.0ms
-inf
-0.9999695795014284
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999978557
0.9999999999999937
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
0.0ms
-inf
-0.9999695795014284
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999978557
0.9999999999999937
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
0.0ms
-inf
-0.9999695795014284
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999999978557
0.9999999999999937
0.0ms
0.0
3.7526915387027255e-26
0.0ms
-0.07988850916744858
0.0
0.0ms
-inf
-0.9999695795014284
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.7526915387027255e-26
0.03774664463094631
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
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
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
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
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
3.7526915387027255e-26
0.03774664463094631
0.0ms
-0.07988850916744858
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
3.7526915387027255e-26
0.03774664463094631
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
3.7526915387027255e-26
0.03774664463094631
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
3.7526915387027255e-26
0.03774664463094631
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
1.0002828520602756
+inf
0.0ms
0.0
3.7526915387027255e-26
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
1.0002828520602756
+inf
0.0ms
0.0
3.7526915387027255e-26
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
3.7526915387027255e-26
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
3.7526915387027255e-26
0.03774664463094631
Compiler

Compiled 10 to 10 computations (0% saved)

simplify15.0ms (0.1%)

Memory
-7.6MiB live, 28.8MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113951
1138951
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 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)) (cos.f64 im)) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (exp.f64 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)) (cos.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) 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 -3602879701896397/72057594037927936 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) 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 -3602879701896397/72057594037927936 binary64)) (cos.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) 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 -3602879701896397/72057594037927936 binary64)) (cos.f64 im) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (cos.f64 im) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 im im) (*.f64 (*.f64 (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/6 binary64) 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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im 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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (fma.f64 re (*.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) re #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (fma.f64 re #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 (fma.f64 re (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) re))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im 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)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (fma.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 re (*.f64 re re)))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 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)) (cos.f64 im)) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (exp.f64 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)) (cos.f64 im)))))
(if (<=.f64 re #s(literal -5072854620270127/2305843009213693952 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 2582544170319337/9223372036854775808 binary64)) (*.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))) (if (<=.f64 re #s(literal 145000000000000006637084329031730566897805487144094923769617153450658629987376513110231333470208 binary64)) (exp.f64 re) (*.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))))))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -inf.0 binary64)) (*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (exp.f64 re) (if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 4503599627361489/4503599627370496 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))))
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(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (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 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 #s(literal 1 binary64) re))
(if (<=.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.1s (12.9%)

Memory
-4.5MiB live, 1 423.4MiB allocated
Rules
17 940×lower-fma.f64
17 940×lower-fma.f32
17 716×lower-fma.f64
17 716×lower-fma.f32
16 606×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
04092
115992
2121792
0821292
02092062
16861994
224231772
367891736
082191577
01421216
14781138
216291110
351281094
475401094
08341971
064283
1178272
2461268
31051264
41448264
51857264
62380264
72887264
83527264
95566264
107960264
08021242
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 2 104 to 891 computations (57.7% saved)

preprocess374.0ms (2.3%)

Memory
20.4MiB live, 213.8MiB allocated
Remove

(abs im)

Compiler

Compiled 1 962 to 264 computations (86.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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